Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8901	Evaluate	natural log of natural log of e^(e^7)	$\ln (\ln (e^{e^{7}}))$
8902	Evaluate the Integral	integral of (10x^4-4)cos(2x^5-4x) with respect to x	$\int (10 x^{4} - 4) \cos (2 x^{5} - 4 x) d x$
8903	Find dy/dx	cos(3y)=x	$\cos (3 y) = x$
8904	Evaluate the Integral	integral of 9/( square root of x)+9 square root of x with respect to x	$\int \frac{9}{\sqrt{x}} + 9 \sqrt{x} d x$
8905	Find the Tangent Line at (π/2,π/4)	ysin(12x)=xcos(2y) , (pi/2,pi/4)	$\int \frac{\cos (2 x)}{\cos (x) - \sin (x)} d x$
8906	Find dy/dx	y=(3x+4)^2(2x-5)^3	$y = {(3 x + 4)}^{2} {(2 x - 5)}^{3}$
8907	Evaluate the Integral	pi integral from 0 to pi of sin(x)^2 with respect to x	$π \int_{0}^{π} \sin^{2} (x) d x$
8908	Evaluate the Integral	p integral from 1 to 3 of (1/x)^2 with respect to x	$p \int_{1}^{3} {(\frac{1}{x})}^{2} d x$
8909	Evaluate the Integral	integral of cot(x/3) with respect to x	$\int \cot (\frac{x}{3}) d x$
8910	Evaluate the Integral	integral of cot(x/5) with respect to x	$\int \cot (\frac{x}{5}) d x$
8911	Evaluate the Integral	integral of cot(h(x)) with respect to x	$\int \coth (x) d x$
8912	Evaluate the Integral	integral of csc(6x) with respect to x	$\int \csc (6 x) d x$
8913	Evaluate the Integral	integral from e to e^2 of 1/(x square root of natural log of x) with respect to x	$\int_{e}^{e^{2}} \frac{1}{x \sqrt{\ln (x)}} d x$
8914	Evaluate the Integral	integral of natural log of x^6 with respect to x	$\int \ln (x^{6}) d x$
8915	Evaluate the Integral	integral of arccot(x) with respect to x	$\int arccot (x) d x$
8916	Evaluate the Integral	integral of arccsc(x) with respect to x	$\int arccsc (x) d x$
8917	Evaluate the Integral	integral from a to b of 5e^(2t) with respect to t	$\int_{a}^{b} 5 e^{2 t} d t$
8918	Evaluate the Integral	integral of arcsin(3x) with respect to x	$\int \arcsin (3 x) d x$
8919	Evaluate the Integral	integral from a to b of 3e^(2t) with respect to t	$\int_{a}^{b} 3 e^{2 t} d t$
8920	Evaluate the Integral	integral of cos(x)(tan(x)+sec(x)) with respect to x	$\int \cos (x) (\tan (x) + \sec (x)) d x$
8921	Evaluate the Integral	integral of cos(3x+2) with respect to x	$\int \cos (3 x + 2) d x$
8922	Evaluate the Integral	integral of cos(mx) with respect to x	$\int \cos (m x) d x$
8923	Evaluate the Integral	integral of cos(nx) with respect to x	$\int \cos (n x) d x$
8924	Evaluate the Integral	integral of cos(2x+3) with respect to x	$\int \cos (2 x + 3) d x$
8925	Evaluate the Integral	integral of cos(2y) with respect to y	$\int \cos (2 y) d y$
8926	Evaluate the Integral	integral of cos(x)sin(3x) with respect to x	$\int \cos (x) \sin (3 x) d x$
8927	Evaluate the Integral	integral of cos(xy) with respect to x	$\int \cos (x y) d x$
8928	Evaluate the Integral	integral of sin(8x-4) with respect to x	$\int \sin (8 x - 4) d x$
8929	Evaluate the Integral	integral of sin(pix)cos(pix) with respect to x	$\int \sin (π x) \cos (π x) d x$
8930	Evaluate the Integral	integral of sin(x)*tan(x) with respect to x	$\int \sin (x) \cdot \tan (x) d x$
8931	Evaluate the Integral	integral of sin(x)* square root of 1-cos(x) with respect to x	$\int \sin (x) \cdot \sqrt{1 - \cos (x)} d x$
8932	Evaluate the Integral	integral of sin(3x)cos(7x) with respect to x	$\int \sin (3 x) \cos (7 x) d x$
8933	Evaluate the Integral	integral of sin(2x)cos(3x) with respect to x	$\int \sin (2 x) \cos (3 x) d x$
8934	Evaluate the Integral	integral of tan(x)sec(x)^2 with respect to x	$\int \tan (x) \sec^{2} (x) d x$
8935	Evaluate the Integral	integral of tan(6x) with respect to x	$\int \tan (6 x) d x$
8936	Evaluate the Integral	integral of tan(2t) with respect to t	$\int \tan (2 t) d t$
8937	Evaluate the Integral	integral of tsec(3t)^2 with respect to t	$\int t \sec^{2} (3 t) d t$
8938	Evaluate the Integral	integral of tsin(t)^2 with respect to t	$\int t \sin^{2} (t) d t$
8939	Evaluate the Integral	integral of sin(h(5x)) with respect to x	$\int \sinh (5 x) d x$
8940	Evaluate the Integral	integral of sin(x) natural log of cos(x) with respect to x	$\int \sin (x) \ln (\cos (x)) d x$
8941	Evaluate the Integral	integral of sin(x)sec(x)^2 with respect to x	$\int \sin (x) \sec^{2} (x) d x$
8942	Evaluate the Integral	integral of sec(pix) with respect to x	$\int \sec (π x) d x$
8943	Evaluate the Integral	integral of sec(t)(sec(t)+tan(t)) with respect to t	$\int \sec (t) (\sec (t) + \tan (t)) d t$
8944	Evaluate the Integral	integral of sec(2x+5)tan(2x+5) with respect to x	$\int \sec (2 x + 5) \tan (2 x + 5) d x$
8945	Evaluate the Integral	integral of sec(4x+3)tan(4x+3) with respect to x	$\int \sec (4 x + 3) \tan (4 x + 3) d x$
8946	Evaluate the Integral	integral of sec(y) with respect to y	$\int \sec (y) d y$
8947	Evaluate the Integral	integral of sin(t^2) with respect to t	$\int \sin (t^{2}) d t$
8948	Evaluate the Integral	integral of sin(18x) with respect to x	$\int \sin (18 x) d x$
8949	Evaluate the Integral	integral of log of sin(x) with respect to x	$\int \log (\sin (x)) d x$
8950	Evaluate the Integral	integral of p(p+8)^7 with respect to p	$\int p {(p + 8)}^{7} d p$
8951	Evaluate the Integral	integral of p(p+9)^5 with respect to p	$\int p {(p + 9)}^{5} d p$
8952	Evaluate the Integral	integral from pi to pi of sin(x)^5cos(x)^4 with respect to x	$\int_{π}^{π} \sin^{5} (x) \cos^{4} (x) d x$
8953	Evaluate the Integral	integral of s*6^s with respect to s	$\int s \cdot 6^{s} d s$
8954	Find the Tangent Line at (1,0)	f(x)=e^(-x) natural log of x , (1,0)	$\int_{- π}^{π} 2 \cos (x^{2}) - 3 \sin (4 x) + 5 \cos (6 x) \cos (2 x) d x$
8955	Evaluate the Integral	integral of xsin(1/6x) with respect to x	$\int x \sin (\frac{1}{6} x) d x$
8956	Evaluate the Integral	integral of xsin(1/9x) with respect to x	$\int x \sin (\frac{1}{9} x) d x$
8957	Evaluate the Integral	integral of xsin(5x) with respect to x	$\int x \sin (5 x) d x$
8958	Evaluate the Integral	integral of xtan(x^2) with respect to x	$\int x \tan (x^{2}) d x$
8959	Evaluate the Integral	integral of xydx with respect to x	$\int x yds x d x$
8960	Evaluate the Integral	integral of xydy with respect to x	$\int x yds y d x$
8961	Evaluate the Integral	integral of y cube root of y with respect to y	$\int y \sqrt[3]{y} d y$
8962	Evaluate the Integral	integral of xarctan(7x) with respect to x	$\int x \arctan (7 x) d x$
8963	Evaluate the Integral	integral of xcos(8x) with respect to x	$\int x \cos (8 x) d x$
8964	Evaluate the Integral	integral of xcos(x^3) with respect to x	$\int x \cos (x^{3}) d x$
8965	Evaluate the Integral	integral of x-3 with respect to x	$\int x - 3 d x$
8966	Evaluate the Integral	integral of xarcsin(x^2) with respect to x	$\int x \arcsin (x^{2}) d x$
8967	Evaluate the Integral	integral of xsec(x) with respect to x	$\int x \sec (x) d x$
8968	Evaluate the Integral	integral of z square root of 4z^2-5 with respect to z	$\int z \sqrt{4 z^{2} - 5} d z$
8969	Evaluate the Integral	10/(3 integral of (1+0.2t)^(3/2) with respect to t)	$\frac{10}{3 \int {(1 + 0.2 t)}^{\frac{3}{2}} d t}$
8970	Evaluate the Integral	2/(3 integral of u^9 with respect to u)	$\frac{2}{3 \int u^{9} d u}$
8971	Evaluate the Integral	16p integral from 0 to 5 of (1-x/5)^2 with respect to x	$16 p \int_{0}^{5} {(1 - \frac{x}{5})}^{2} d x$
8972	Evaluate the Integral	integral of x(x^2+2)^6 with respect to x	$\int x {(x^{2} + 2)}^{6} d x$
8973	Evaluate the Integral	integral of x(x^2-1)^5 with respect to x	$\int x {(x^{2} - 1)}^{5} d x$
8974	Evaluate the Integral	integral of x(90x^2+30x) with respect to x	$\int x (90 x^{2} + 30 x) d x$
8975	Evaluate the Integral	integral of x(23^(-(x^2))) with respect to x	$\int x (23^{- (x^{2})}) d x$
8976	Evaluate the Integral	integral of t natural log of t+1 with respect to t	$\int t \ln (t + 1) d t$
8977	Evaluate the Integral	integral of u square root of 1-u^2 with respect to u	$\int u \sqrt{1 - u^{2}} d u$
8978	Evaluate the Integral	integral of tcos(t^2) with respect to t	$\int t \cos (t^{2}) d t$
8979	Evaluate the Integral	integral of x(4x+7)^8 with respect to x	$\int x {(4 x + 7)}^{8} d x$
8980	Evaluate the Integral	integral of x(3x+8)^11 with respect to x	$\int x {(3 x + 8)}^{11} d x$
8981	Evaluate the Integral	integral of x(5x^2+4)^3 with respect to x	$\int x {(5 x^{2} + 4)}^{3} d x$
8982	Evaluate the Integral	integral of x(x+6)^8 with respect to x	$\int x {(x + 6)}^{8} d x$
8983	Evaluate the Integral	integral of x(x+5)^6 with respect to x	$\int x {(x + 5)}^{6} d x$
8984	Find the Derivative - d/d@VAR	f(x)=9-3x-2x^2	$f (x) = 9 - 3 x - 2 x^{2}$
8985	Evaluate the Integral	integral of xarccot(x) with respect to x	$\int x arccot (x) d x$
8986	Evaluate the Integral	integral of xcsc(3x)^2 with respect to x	$\int x \csc^{2} (3 x) d x$
8987	Evaluate the Integral	integral of xcsc(x)^2 with respect to x	$\int x \csc^{2} (x) d x$
8988	Evaluate the Integral	integral from 0 to pi/3 of sin(3t) with respect to t	$\int_{0}^{\frac{π}{3}} \sin (3 t) d t$
8989	Evaluate the Integral	integral from 0 to pi/3 of sin(3x) with respect to x	$\int_{0}^{\frac{π}{3}} \sin (3 x) d x$
8990	Evaluate the Integral	integral from 0 to pi/4 of 8sec(t)^2 with respect to t	$\int_{0}^{\frac{π}{4}} 8 \sec^{2} (t) d t$
8991	Evaluate the Integral	integral from 0 to pi/3 of 4sec(x)tan(x) with respect to x	$\int_{0}^{\frac{π}{3}} 4 \sec (x) \tan (x) d x$
8992	Evaluate the Integral	integral from 0 to pi/4 of sin(2x)^5 with respect to x	$\int_{0}^{\frac{π}{4}} \sin^{5} (2 x) d x$
8993	Evaluate the Integral	integral from 0 to pi/4 of tan(x)^2 with respect to x	$\int_{0}^{\frac{π}{4}} \tan^{2} (x) d x$
8994	Evaluate the Integral	integral from 0 to square root of 21 of x/( square root of x^2+4) with respect to x	$\int_{0}^{\sqrt{21}} \frac{x}{\sqrt{x^{2} + 4}} d x$
8995	Evaluate the Integral	integral from 0 to square root of 15 of (6x)/( square root of x^2+1) with respect to x	$\int_{0}^{\sqrt{15}} \frac{6 x}{\sqrt{x^{2} + 1}} d x$
8996	Evaluate the Integral	integral from 0 to square root of 15 of (8x)/( square root of x^2+1) with respect to x	$\int_{0}^{\sqrt{15}} \frac{8 x}{\sqrt{x^{2} + 1}} d x$
8997	Evaluate the Integral	integral from 0 to t^10 of fifth root of u with respect to u	$\int_{0}^{t^{10}} \sqrt[5]{u} d u$
8998	Evaluate the Integral	integral from 0 to pi/6 of cos(x) with respect to x	$\int_{0}^{\frac{π}{6}} \cos (x) d x$
8999	Evaluate the Integral	integral from 0 to pi/6 of sec(y) with respect to y	$\int_{0}^{\frac{π}{6}} \sec (y) d y$
9000	Evaluate the Integral	integral from 0 to pi/6 of sin(2x)sin(x) with respect to x	$\int_{0}^{\frac{π}{6}} \sin (2 x) \sin (x) d x$