Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
85901	Integrate Using u-Substitution	integral of 6x(3x^2+5)^3 with respect to x	$\int 6 x {(3 x^{2} + 5)}^{3} d x$
85902	Integrate Using u-Substitution	integral of e^(4cot(x))*csc(x)^2 with respect to x	$\int e^{4 \cot (x)} \cdot \csc^{2} (x) d x$
85903	Integrate Using u-Substitution	integral of (5x cube root of 5x^2+3)/3 with respect to x	$\int \frac{5 x \sqrt[3]{5 x^{2} + 3}}{3} d x$
85904	Integrate Using u-Substitution	integral of (e^(- square root of x))/( square root of x) with respect to x	$\int \frac{e^{- \sqrt{x}}}{\sqrt{x}} d x$
85905	Integrate Using u-Substitution	integral of (cos(x))/(sin(x)) with respect to x	$\int \frac{\cos (x)}{\sin (x)} d x$
85906	Integrate Using u-Substitution	integral of x cube root of x^2-9 with respect to x	$\int x \sqrt[3]{x^{2} - 9} d x$
85907	Integrate Using u-Substitution	integral of 10x(4x^2-3)^(3/2) with respect to x	$\int 10 x {(4 x^{2} - 3)}^{\frac{3}{2}} d x$
85908	Integrate Using u-Substitution	integral of 5 square root of 5x-1 with respect to x	$\int 5 \sqrt{5 x - 1} d x$
85909	Integrate Using u-Substitution	integral of 1/(x^2) square root of 1+1/x with respect to x	$\int \frac{1}{x^{2}} \sqrt{1 + \frac{1}{x}} d x$
85910	Integrate Using u-Substitution	integral of x^3 square root of 4+x^2 with respect to x	$\int x^{3} \sqrt{4 + x^{2}} d x$
85911	Integrate Using u-Substitution	integral of 24x(6x^2+7)^7 with respect to x	$\int 24 x {(6 x^{2} + 7)}^{7} d x$
85912	Integrate Using u-Substitution	integral from 1/6 to 1/2 of csc(piA)cot(piA) with respect to A	$\int_{\frac{1}{6}}^{\frac{1}{2}} \csc (π A) \cot (π A) d A$
85913	Integrate Using u-Substitution	integral of x^3+4x-5 with respect to x	$\int x^{3} + 4 x - 5 d x$
85914	Integrate Using u-Substitution	integral of xcos(x) with respect to x	$\int x \cos (x) d x$
85915	Integrate Using u-Substitution	integral of (4x^4+3)/(4x^5+15x+2) with respect to x	$\int \frac{4 x^{4} + 3}{4 x^{5} + 15 x + 2} d x$
85916	Integrate Using u-Substitution	integral from -1 to 1 of 3x^2 square root of x^3+5 with respect to x	$\int_{- 1}^{1} 3 x^{2} \sqrt{x^{3} + 5} d x$
85917	Integrate Using u-Substitution	integral of (sin(x))/(cos(x)) with respect to x	$\int \frac{\sin (x)}{\cos (x)} d x$
85918	Integrate Using u-Substitution	integral of 3x^2e^(x^3) with respect to x	$\int 3 x^{2} e^{x^{3}} d x$
85919	Integrate Using u-Substitution	integral of (24x)/( cube root of 6x^2+1) with respect to x	$\int \frac{24 x}{\sqrt[3]{6 x^{2} + 1}} d x$
85920	Integrate Using u-Substitution	integral of x natural log of 1+x with respect to x	$\int x \ln (1 + x) d x$
85921	Integrate Using u-Substitution	integral of cos(3x+2) with respect to x	$\int \cos (3 x + 2) d x$
85922	Integrate Using u-Substitution	integral of 1/(x^3) square root of 1-1/(x^2) with respect to x	$\int \frac{1}{x^{3}} \sqrt{1 - \frac{1}{x^{2}}} d x$
85923	Integrate Using u-Substitution	integral from 0 to 1 of xe^(x^2) with respect to x	$\int_{0}^{1} x e^{x^{2}} d x$
85924	Integrate Using u-Substitution	integral of (4x)/(3(9-2x^2)^(4/3)) with respect to x	$\int \frac{4 x}{3 {(9 - 2 x^{2})}^{\frac{4}{3}}} d x$
85925	Integrate Using u-Substitution	integral of (9x)/( square root of 3x^2+8) with respect to x	$\int \frac{9 x}{\sqrt{3 x^{2} + 8}} d x$
85926	Integrate Using u-Substitution	integral of xe^(x^2)+1 with respect to x	$\int x e^{x^{2}} + 1 d x$
85927	Integrate Using u-Substitution	integral of 12(y^4+4y^2+1)^2(y^3+2y) with respect to y	$\int 12 {(y^{4} + 4 y^{2} + 1)}^{2} (y^{3} + 2 y) d y$
85928	Integrate Using u-Substitution	integral of (4x^3)/(2x+3) with respect to x	$\int \frac{4 x^{3}}{2 x + 3} d x$
85929	Integrate Using u-Substitution	integral of (2x^2+7x-3)/(x-2) with respect to x	$\int \frac{2 x^{2} + 7 x - 3}{x - 2} d x$
85930	Integrate Using u-Substitution	integral of (e^(1/(x^2)))/(x^3) with respect to x	$\int \frac{e^{\frac{1}{x^{2}}}}{x^{3}} d x$
85931	Integrate Using u-Substitution	integral of (x+1)/( square root of x) with respect to x	$\int \frac{x + 1}{\sqrt{x}} d x$
85932	Integrate Using u-Substitution	integral of (3x^2)/(2(4x^3+9)^(1/4)) with respect to x	$\int \frac{3 x^{2}}{2 {(4 x^{3} + 9)}^{\frac{1}{4}}} d x$
85933	Integrate Using u-Substitution	integral of 1/(e^x) with respect to x	$\int \frac{1}{e^{x}} d x$
85934	Integrate Using u-Substitution	integral of square root of x^2+1 with respect to x	$\int \sqrt{x^{2} + 1} d x$
85935	Integrate Using u-Substitution	integral of 3sin(4x) with respect to x	$\int 3 \sin (4 x) d x$
85936	Integrate Using u-Substitution	integral of (6cos(t))/((2+sin(t))^2) with respect to t	$\int \frac{6 \cos (t)}{{(2 + \sin (t))}^{2}} d t$
85937	Integrate Using u-Substitution	integral of tan(4x) with respect to x	$\int \tan (4 x) d x$
85938	Integrate Using u-Substitution	integral of 1/(1+cos(x)) with respect to x	$\int \frac{1}{1 + \cos (x)} d x$
85939	Integrate Using u-Substitution	integral of 6x(4x^2-9)^2 with respect to x	$\int 6 x {(4 x^{2} - 9)}^{2} d x$
85940	Integrate Using u-Substitution	integral from 1 to 3 of (e^(3/x))/(x^2) with respect to x	$\int_{1}^{3} \frac{e^{\frac{3}{x}}}{x^{2}} d x$
85941	Integrate Using u-Substitution	integral from -3 to 3 of square root of 9-x^2 with respect to x	$\int_{- 3}^{3} \sqrt{9 - x^{2}} d x$
85942	Integrate Using u-Substitution	integral of (9x(6x^2+5)^(1/2))/2 with respect to x	$\int \frac{9 x {(6 x^{2} + 5)}^{\frac{1}{2}}}{2} d x$
85943	Integrate Using u-Substitution	integral from 1 to e^8 of ( natural log of x^2^2)/x with respect to x	$\int_{1}^{e^{8}} \frac{\ln^{2} (x^{2})}{x} d x$
85944	Integrate Using u-Substitution	integral of (2x^2-7x-5)/(2x+1) with respect to x	$\int \frac{2 x^{2} - 7 x - 5}{2 x + 1} d x$
85945	Integrate Using u-Substitution	integral of x cube root of x+1 with respect to x	$\int x \sqrt[3]{x + 1} d x$
85946	Integrate Using u-Substitution	integral of 1/(x-1) with respect to x	$\int \frac{1}{x - 1} d x$
85947	Integrate Using u-Substitution	integral of (9x(x^2-10)^8)/5 with respect to x	$\int \frac{9 x {(x^{2} - 10)}^{8}}{5} d x$
85948	Integrate Using u-Substitution	integral of 5/x with respect to x	$\int \frac{5}{x} d x$
85949	Integrate Using u-Substitution	integral of 3^(2x) with respect to x	$\int 3^{2 x} d x$
85950	Integrate Using u-Substitution	integral of (sin(x))/(cos(x)) with respect to x = integral of -1/u with respect to u	$\int \frac{\sin (x)}{\cos (x)} d x = \int - \frac{1}{u} d u$
85951	Integrate Using u-Substitution	integral of square root of x^2+2x with respect to x	$\int \sqrt{x^{2} + 2 x} d x$
85952	Integrate Using u-Substitution	integral from 0 to 1 of 1/(1+x^2) with respect to x	$\int_{0}^{1} \frac{1}{1 + x^{2}} d x$
85953	Integrate Using u-Substitution	integral of sin(3x)^5cos(3x) with respect to x	$\int \sin^{5} (3 x) \cos (3 x) d x$
85954	Integrate Using u-Substitution	integral of cube root of x^3+1x^5 with respect to x	$\int \sqrt[3]{x^{3} + 1} x^{5} d x$
85955	Integrate Using u-Substitution	integral from 0 to 4 of 5/(3x+1) with respect to x	$\int_{0}^{4} \frac{5}{3 x + 1} d x$
85956	Integrate Using u-Substitution	integral of (4x^2)/( cube root of 4x^3+5) with respect to x	$\int \frac{4 x^{2}}{\sqrt[3]{4 x^{3} + 5}} d x$
85957	Integrate Using u-Substitution	integral of x(4x+5)^3 with respect to x	$\int x {(4 x + 5)}^{3} d x$
85958	Integrate Using u-Substitution	integral of x/(x^2+y^2) with respect to y	$\int \frac{x}{x^{2} + y^{2}} d y$
85959	Integrate Using u-Substitution	integral of e^(-x^4)(-4x^3) with respect to x	$\int e^{- x^{4}} (- 4 x^{3}) d x$
85960	Integrate Using u-Substitution	integral of xsec(x^2)^2 with respect to x	$\int x \sec^{2} (x^{2}) d x$
85961	Integrate Using u-Substitution	integral from 0 to 1 of (4x)/( square root of 1-x^4) with respect to x	$\int_{0}^{1} \frac{4 x}{\sqrt{1 - x^{4}}} d x$
85962	Integrate Using u-Substitution	integral of (2x^3+2x)u(x) with respect to x=x^6+2x^4+x^2+C	$\int (2 x^{3} + 2 x) u (x) d x = x^{6} + 2 x^{4} + x^{2} + C$
85963	Integrate Using u-Substitution	integral of (4x^3+x) square root of 4x^2+1 with respect to x	$\int (4 x^{3} + x) \sqrt{4 x^{2} + 1} d x$
85964	Integrate Using u-Substitution	integral of (t-2)/((t^2-4t+3)^3) with respect to t	$\int \frac{t - 2}{{(t^{2} - 4 t + 3)}^{3}} d t$
85965	Integrate Using u-Substitution	integral of (40x^3)/((5x^4+3)^4) with respect to x	$\int \frac{40 x^{3}}{{(5 x^{4} + 3)}^{4}} d x$
85966	Integrate Using u-Substitution	integral of natural log of 2x+1 with respect to x	$\int \ln (2 x + 1) d x$
85967	Integrate Using u-Substitution	integral of e^xcos(e^x) with respect to x	$\int e^{x} \cos (e^{x}) d x$
85968	Integrate Using u-Substitution	integral of 5e^(5x) with respect to x	$\int 5 e^{5 x} d x$
85969	Integrate Using u-Substitution	integral from pi/6 to pi/2 of sin(2x)^5cos(2x) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} \sin^{5} (2 x) \cos (2 x) d x$
85970	Integrate Using u-Substitution	integral from 0 to pi of sec(t/4)^2 with respect to t	$\int_{0}^{π} \sec^{2} (\frac{t}{4}) d t$
85971	Integrate Using u-Substitution	integral of (2r)/((1-r)^7) with respect to r	$\int \frac{2 r}{{(1 - r)}^{7}} d r$
85972	Integrate Using u-Substitution	integral of square root of x^2-1 with respect to x	$\int \sqrt{x^{2} - 1} d x$
85973	Integrate Using u-Substitution	integral of (2x-1)e^(x^2-x) with respect to x	$\int (2 x - 1) e^{x^{2} - x} d x$
85974	Integrate Using u-Substitution	integral of (x^2)/((x-1)^4) with respect to x	$\int \frac{x^{2}}{{(x - 1)}^{4}} d x$
85975	Integrate Using u-Substitution	integral of (e^x-e^(-x))^2 with respect to x	$\int {(e^{x} - e^{- x})}^{2} d x$
85976	Integrate Using u-Substitution	integral of sin( square root of x) with respect to x	$\int \sin (\sqrt{x}) d x$
85977	Integrate Using u-Substitution	integral of (4x)/(e^(5x^2)) with respect to x	$\int \frac{4 x}{e^{5 x^{2}}} d x$
85978	Integrate Using u-Substitution	integral of (8x+2)^(1/3) with respect to x	$\int {(8 x + 2)}^{\frac{1}{3}} d x$
85979	Integrate Using u-Substitution	integral of xsin(2x) with respect to x	$\int x \sin (2 x) d x$
85980	Integrate Using u-Substitution	integral of e^(2x)(1+3e^(2x))^5 with respect to x	$\int e^{2 x} {(1 + 3 e^{2 x})}^{5} d x$
85981	Integrate Using u-Substitution	integral from 0 to 1/6 of 1/( square root of 1-9x^2) with respect to x	$\int_{0}^{\frac{1}{6}} \frac{1}{\sqrt{1 - 9 x^{2}}} d x$
85982	Integrate Using u-Substitution	integral of 15/((3x-10)^(4/3)) with respect to x	$\int \frac{15}{{(3 x - 10)}^{\frac{4}{3}}} d x$
85983	Integrate Using u-Substitution	integral of tan(x)^3sec(x) with respect to x	$\int \tan^{3} (x) \sec (x) d x$
85984	Integrate Using u-Substitution	integral of (14x)/( square root of 5-2x^2) with respect to x	$\int \frac{14 x}{\sqrt{5 - 2 x^{2}}} d x$
85985	Integrate Using u-Substitution	integral of (sec(1/x)^2)/(x^2) with respect to x	$\int \frac{\sec^{2} (\frac{1}{x})}{x^{2}} d x$
85986	Integrate Using u-Substitution	integral of x/( cube root of 5x^2) with respect to x	$\int \frac{x}{\sqrt[3]{5 x^{2}}} d x$
85987	Integrate Using u-Substitution	integral of 1/(cos(x)^2) with respect to x	$\int \frac{1}{\cos^{2} (x)} d x$
85988	Integrate Using u-Substitution	integral of 2/(2x-3) with respect to x	$\int \frac{2}{2 x - 3} d x$
85989	Integrate Using u-Substitution	integral of (sec(x)^2)/(tan(x)) with respect to x	$\int \frac{\sec^{2} (x)}{\tan (x)} d x$
85990	Integrate Using u-Substitution	integral of (9x^2)/((7-3x^3)^(1/2)) with respect to x	$\int \frac{9 x^{2}}{{(7 - 3 x^{3})}^{\frac{1}{2}}} d x$
85991	Integrate Using u-Substitution	integral of 6e^(3x) with respect to x	$\int 6 e^{3 x} d x$
85992	Integrate Using u-Substitution	integral of (9x)/( fourth root of 3x^2+8) with respect to x	$\int \frac{9 x}{\sqrt[4]{3 x^{2} + 8}} d x$
85993	Integrate Using u-Substitution	integral of (e^x)/((1-e^x)^2) with respect to x	$\int \frac{e^{x}}{{(1 - e^{x})}^{2}} d x$
85994	Integrate Using u-Substitution	integral from 0 to 1/2 of (2t+1)^3 with respect to t	$\int_{0}^{\frac{1}{2}} {(2 t + 1)}^{3} d t$
85995	Integrate Using u-Substitution	integral of ( square root of x+1/(2 square root of x)) with respect to x	$\int (\sqrt{x} + \frac{1}{2 \sqrt{x}}) d x$
85996	Integrate Using u-Substitution	integral of (13x^12+x^5)/( square root of 6x^13+x^6) with respect to x	$\int \frac{13 x^{12} + x^{5}}{\sqrt{6 x^{13} + x^{6}}} d x$
85997	Integrate Using u-Substitution	integral of x^2 square root of x^3+33 with respect to x , u=x^3+33	$\int x^{2} \sqrt{x^{3} + 33} d x$ , $u = x^{3} + 33$
85998	Integrate Using u-Substitution	integral of (x+3)/(x^2+6x) with respect to x	$\int \frac{x + 3}{x^{2} + 6 x} d x$
85999	Integrate Using u-Substitution	integral of (x^2+1)^2(2x) with respect to x	$\int {(x^{2} + 1)}^{2} (2 x) d x$
86000	Integrate Using u-Substitution	integral of 2x^2 square root of 4x^3-7 with respect to x	$\int 2 x^{2} \sqrt{4 x^{3} - 7} d x$