Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28701	Evaluate the Integral	integral of 9 square root of x-2/(x^8) with respect to x	$\int 9 \sqrt{x} - \frac{2}{x^{8}} d x$
28702	Evaluate the Integral	integral of 8t^2+7t-7 with respect to t	$\int 8 t^{2} + 7 t - 7 d t$
28703	Evaluate the Integral	integral of 7x+5 with respect to x	$\int 7 x + 5 d x$
28704	Evaluate the Integral	integral of 8x^2+3x-2 with respect to x	$\int 8 x^{2} + 3 x - 2 d x$
28705	Evaluate the Integral	integral of 8 fourth root of x^3+9/( cube root of x) with respect to x+x	$\int 8 \sqrt[4]{x^{3}} + \frac{9}{\sqrt[3]{x}} d x + x$
28706	Evaluate the Integral	integral of 8x^3+6x-2 with respect to x	$\int 8 x^{3} + 6 x - 2 d x$
28707	Evaluate the Integral	integral of 7r^5+4r^2+1 with respect to r	$\int 7 r^{5} + 4 r^{2} + 1 d r$
28708	Evaluate the Integral	integral of 7 square root of x^3+3 cube root of x^2 with respect to x	$\int 7 \sqrt{x^{3}} + 3 \sqrt[3]{x^{2}} d x$
28709	Evaluate the Integral	integral of -7csc(x)^2 with respect to x	$\int - 7 \csc^{2} (x) d x$
28710	Evaluate the Integral	integral of 6x-4 with respect to x	$\int 6 x - 4 d x$
28711	Evaluate the Integral	integral of 7 square root of x^3+9 cube root of x^2 with respect to x	$\int 7 \sqrt{x^{3}} + 9 \sqrt[3]{x^{2}} d x$
28712	Evaluate the Integral	integral of 6x^2-8x+5 with respect to x	$\int 6 x^{2} - 8 x + 5 d x$
28713	Evaluate the Integral	integral of 6cos(x)+5sin(x) with respect to x	$\int 6 \cos (x) + 5 \sin (x) d x$
28714	Evaluate the Integral	integral of 6x-8/(x^3) with respect to x	$\int 6 x - \frac{8}{x^{3}} d x$
28715	Evaluate the Integral	integral of -6sec(x)tan(x)-7sec(x)^2 with respect to x	$\int - 6 \sec (x) \tan (x) - 7 \sec^{2} (x) d x$
28716	Evaluate the Integral	integral of 4x^3-6x with respect to x	$\int 4 x^{3} - 6 x d x$
28717	Evaluate the Integral	integral of 40x^4+12x^2-10x+7 with respect to x	$\int 40 x^{4} + 12 x^{2} - 10 x + 7 d x$
28718	Evaluate the Integral	integral of -4cos(t) with respect to t	$\int - 4 \cos (t) d t$
28719	Evaluate the Integral	integral of 5e^(2x) with respect to x	$\int 5 e^{2 x} d x$
28720	Evaluate the Integral	integral of 5x-8csc(x)cot(x) with respect to x	$\int 5 x - 8 \csc (x) \cot (x) d x$
28721	Evaluate the Integral	integral of (4x-12)e^(-8x) with respect to x	$\int (4 x - 12) e^{- 8 x} d x$
28722	Evaluate the Integral	integral of (3x-1)(3x^2-2x+1) with respect to x	$\int (3 x - 1) (3 x^{2} - 2 x + 1) d x$
28723	Evaluate the Integral	integral of 4 square root of x^3+3 cube root of x^2 with respect to x	$\int 4 \sqrt{x^{3}} + 3 \sqrt[3]{x^{2}} d x$
28724	Evaluate the Integral	integral of 5x^2+6x-3 with respect to x	$\int 5 x^{2} + 6 x - 3 d x$
28725	Evaluate the Integral	integral of 5x^4+4x^2-6x+5 with respect to x	$\int 5 x^{4} + 4 x^{2} - 6 x + 5 d x$
28726	Evaluate the Integral	integral of 6x^2-5x+4 with respect to x	$\int 6 x^{2} - 5 x + 4 d x$
28727	Evaluate the Integral	integral of 6e^x-x^-1+2-7 square root of x with respect to x	$\int 6 e^{x} - x^{- 1} + 2 - 7 \sqrt{x} d x$
28728	Evaluate the Integral	integral of 6x^2+2/x- square root of x with respect to x	$\int 6 x^{2} + \frac{2}{x} - \sqrt{x} d x$
28729	Evaluate the Integral	integral of 6x^2-3x+2 with respect to x	$\int 6 x^{2} - 3 x + 2 d x$
28730	Evaluate the Integral	integral of 5cos(x)-2sec(x)^2 with respect to x	$\int 5 \cos (x) - 2 \sec^{2} (x) d x$
28731	Evaluate the Integral	integral of (5u-1)(3u^3+2) with respect to u	$\int (5 u - 1) (3 u^{3} + 2) d u$
28732	Evaluate the Integral	integral of 6e^(-0.2x) with respect to x	$\int 6 e^{- 0.2 x} d x$
28733	Evaluate the Integral	integral of 6t^2-8t+7 with respect to t	$\int 6 t^{2} - 8 t + 7 d t$
28734	Evaluate the Integral	integral of ( square root of 5x)/5+5/( square root of 5x) with respect to x	$\int \frac{\sqrt{5 x}}{5} + \frac{5}{\sqrt{5 x}} d x$
28735	Evaluate the Integral	integral of ( square root of e)/(x^4)+pi/( square root of x) with respect to x	$\int \frac{\sqrt{e}}{x^{4}} + \frac{π}{\sqrt{x}} d x$
28736	Evaluate the Integral	integral of (t+1) square root of 3t+1 with respect to t	$\int (t + 1) \sqrt{3 t + 1} d t$
28737	Find the 4th Derivative	y=9x^3+7x^2	$y = 9 x^{3} + 7 x^{2}$
28738	Find the 4th Derivative	y=-5x^4	$y = - 5 x^{4}$
28739	Evaluate the Integral	integral of 4/(x^3)-1/(x^2)+1/x- square root of x+8x^3-e^x with respect to x	$\int \frac{4}{x^{3}} - \frac{1}{x^{2}} + \frac{1}{x} - \sqrt{x} + 8 x^{3} - e^{x} d x$
28740	Evaluate the Integral	integral of 6/x+3/(x^4) with respect to x	$\int \frac{6}{x} + \frac{3}{x^{4}} d x$
28741	Evaluate the Integral	integral of (40x^(3/5))/5-2x^-3 with respect to x	$\int \frac{40 x^{\frac{3}{5}}}{5} - 2 x^{- 3} d x$
28742	Evaluate the Integral	integral of 5/(t^2)+4t^2 with respect to t	$\int \frac{5}{t^{2}} + 4 t^{2} d t$
28743	Evaluate the Integral	integral from -((5pi)/2) to (5pi)/2 of cos(x-1) with respect to x	$\int_{- (\frac{5 π}{2})}^{\frac{5 π}{2}} \cos (x - 1) d x$
28744	Evaluate the Integral	integral of 4/x-3e^(2x)+e^0.7 with respect to x	$\int \frac{4}{x} - 3 e^{2 x} + e^{0.7} d x$
28745	Evaluate the Integral	integral of 2/3x^5-5/2x+1/2 with respect to x	$\int \frac{2}{3} x^{5} - \frac{5}{2} x + \frac{1}{2} d x$
28746	Evaluate the Integral	integral of 15/(x^4)+8/(x^5) with respect to x	$\int \frac{15}{x^{4}} + \frac{8}{x^{5}} d x$
28747	Evaluate the Integral	integral of 1/80x^(1/4)+60 with respect to x	$\int \frac{1}{80} x^{\frac{1}{4}} + 60 d x$
28748	Evaluate the Integral	integral of 1/(3y)-5/( square root of y)+e^((-y)/2) with respect to y	$\int \frac{1}{3 y} - \frac{5}{\sqrt{y}} + e^{\frac{- y}{2}} d y$
28749	Evaluate the Integral	integral of 1/(2y)-2/(y^2)+3/( square root of y) with respect to y	$\int \frac{1}{2 y} - \frac{2}{y^{2}} + \frac{3}{\sqrt{y}} d y$
28750	Evaluate the Integral	integral of x^2-15/2* square root of x+x^(-4/3) with respect to x	$\int x^{2} - \frac{15}{2} \cdot \sqrt{x} + x^{- \frac{4}{3}} d x$
28751	Evaluate the Integral	integral of (x^2+1)e^(2x) with respect to x	$\int (x^{2} + 1) e^{2 x} d x$
28752	Evaluate the Integral	integral of x^-0.9-x^0.9 with respect to x	$\int x^{- 0.9} - x^{0.9} d x$
28753	Evaluate the Integral	integral of x^-0.7-x^0.7 with respect to x	$\int x^{- 0.7} - x^{0.7} d x$
28754	Evaluate the Integral	integral of x^-0.8-x^0.8 with respect to x	$\int x^{- 0.8} - x^{0.8} d x$
28755	Evaluate the Integral	integral of cube root of x^2-3/( square root of x)+7 with respect to x	$\int \sqrt[3]{x^{2}} - \frac{3}{\sqrt{x}} + 7 d x$
28756	Evaluate the Integral	integral of x^3-10x-3 with respect to x	$\int x^{3} - 10 x - 3 d x$
28757	Evaluate the Integral	integral of x^3-7 with respect to x	$\int x^{3} - 7 d x$
28758	Evaluate the Integral	integral of x^3-8x-7 with respect to x	$\int x^{3} - 8 x - 7 d x$
28759	Evaluate the Integral	integral of x^3-3x+1 with respect to x	$\int x^{3} - 3 x + 1 d x$
28760	Evaluate the Integral	integral of x^3-9x with respect to x	$\int x^{3} - 9 x d x$
28761	Evaluate the Integral	integral of x^2-9x with respect to x	$\int x^{2} - 9 x d x$
28762	Evaluate the Integral	integral of x^2cos(x^3) with respect to x	$\int x^{2} \cos (x^{3}) d x$
28763	Evaluate the Integral	integral of x^2-cot(3x) with respect to x	$\int x^{2} - \cot (3 x) d x$
28764	Evaluate the Integral	integral of x^3+e^(3x) with respect to x	$\int x^{3} + e^{3 x} d x$
28765	Evaluate the Integral	integral of (x^2-4x)e^x with respect to x	$\int (x^{2} - 4 x) e^{x} d x$
28766	Evaluate the Integral	integral of ( square root of x^4+7x)(4x^3+7) with respect to x	$\int (\sqrt{x^{4} + 7 x}) (4 x^{3} + 7) d x$
28767	Evaluate the Integral	integral of (tan(x)^3+tan(x)^5)sec(x)^2 with respect to x	$\int (\tan^{3} (x) + \tan^{5} (x)) \sec^{2} (x) d x$
28768	Evaluate the Integral	integral of ( square root of t^3+2t)(3t^2+2) with respect to t	$\int (\sqrt{t^{3} + 2 t}) (3 t^{2} + 2) d t$
28769	Evaluate the Integral	integral of ( square root of t^3+4t)(3t^2+4) with respect to t	$\int (\sqrt{t^{3} + 4 t}) (3 t^{2} + 4) d t$
28770	Evaluate the Integral	integral of ( square root of t^4+3t)(4t^3+3) with respect to t	$\int (\sqrt{t^{4} + 3 t}) (4 t^{3} + 3) d t$
28771	Evaluate the Integral	integral of square root of x^3+ cube root of x^2 with respect to x	$\int \sqrt{x^{3}} + \sqrt[3]{x^{2}} d x$
28772	Evaluate the Integral	integral of square root of x+4/x-5e^x with respect to x	$\int \sqrt{x} + \frac{4}{x} - 5 e^{x} d x$
28773	Evaluate the Integral	integral of t^(3/2)+2t^(1/2)-4t^(-1/2) with respect to t	$\int t^{\frac{3}{2}} + 2 t^{\frac{1}{2}} - 4 t^{- \frac{1}{2}} d t$
28774	Evaluate the Integral	integral of t^3-9t with respect to t	$\int t^{3} - 9 t d t$
28775	Evaluate the Integral	integral from (-pi)/2 to pi/2 of sec(x)^3 with respect to x	$\int_{\frac{- π}{2}}^{\frac{π}{2}} \sec^{3} (x) d x$
28776	Evaluate the Integral	integral of natural log of (x)^8*1/x with respect to x	$\int \ln ({(x)}^{8}) \cdot \frac{1}{x} d x$
28777	Evaluate the Integral	integral of e^(6x)+e^(-9x) with respect to x	$\int e^{6 x} + e^{- 9 x} d x$
28778	Evaluate the Integral	integral of e^(9u)+10 with respect to u udu	$\int e^{9 u} + 10 d u$ udu
28779	Evaluate the Integral	integral of e^(12u)+4 with respect to u udu	$\int e^{12 u} + 4 d u$ udu
28780	Evaluate the Integral	integral of e^(12u)+8 with respect to u udu	$\int e^{12 u} + 8 d u$ udu
28781	Evaluate the Integral	integral of e^(2t)+t^(e-1) with respect to t	$\int e^{2 t} + t^{e - 1} d t$
28782	Evaluate the Integral	integral of e^(2u)+10 with respect to u udu	$\int e^{2 u} + 10 d u$ udu
28783	Evaluate the Integral	integral of e^(6u)+8 with respect to u udu	$\int e^{6 u} + 8 d u$ udu
28784	Evaluate the Integral	integral of 4/x-2e^(-0.7x) with respect to x	$\int \frac{4}{x} - 2 e^{- 0.7 x} d x$
28785	Evaluate the Integral	integral of e^(5x)+4e^(-x) with respect to x	$\int e^{5 x} + 4 e^{- x} d x$
28786	Evaluate the Integral	integral of 8/( square root of x)+8 square root of x with respect to x	$\int \frac{8}{\sqrt{x}} + 8 \sqrt{x} d x$
28787	Evaluate the Integral	integral of (x^4+1)^2 with respect to x	$\int {(x^{4} + 1)}^{2} d x$
28788	Evaluate the Integral	integral of (x^5-3)^5*(20x^4) with respect to x	$\int {(x^{5} - 3)}^{5} \cdot (20 x^{4}) d x$
28789	Evaluate the Integral	integral of (x^4-36)^5x^3 with respect to x	$\int {(x^{4} - 36)}^{5} x^{3} d x$
28790	Evaluate the Integral	integral of (x^4-5x^3-7x^2)^6(4x^3-15x^2-14x) with respect to x	$\int {(x^{4} - 5 x^{3} - 7 x^{2})}^{6} (4 x^{3} - 15 x^{2} - 14 x) d x$
28791	Evaluate the Integral	integral of (x^3+5)^7*(3x^2) with respect to x	$\int {(x^{3} + 5)}^{7} \cdot (3 x^{2}) d x$
28792	Evaluate the Integral	integral of (x^3+6x)^2(3x^2+6) with respect to x	$\int {(x^{3} + 6 x)}^{2} (3 x^{2} + 6) d x$
28793	Evaluate the Integral	integral of (x^7+3)^5(7x^6) with respect to x	$\int {(x^{7} + 3)}^{5} (7 x^{6}) d x$
28794	Evaluate the Integral	integral of (x^7-2x^6)^7(7x^6-12x^5) with respect to x	$\int {(x^{7} - 2 x^{6})}^{7} (7 x^{6} - 12 x^{5}) d x$
28795	Evaluate the Integral	integral of (1+4t^5)/(3t) with respect to t	$\int \frac{1 + 4 t^{5}}{3 t} d t$
28796	Evaluate the Integral	integral of (11x-61)/(x^2-11x+30) with respect to x	$\int \frac{11 x - 61}{x^{2} - 11 x + 30} d x$
28797	Evaluate the Integral	integral of (10z^4-20)/( square root of z^5-10z) with respect to z	$\int \frac{10 z^{4} - 20}{\sqrt{z^{5} - 10 z}} d z$
28798	Evaluate the Integral	integral of (1-cos(x))^2 with respect to x	$\int {(1 - \cos (x))}^{2} d x$
28799	Evaluate the Integral	integral of (1-x)/(1+x) with respect to x	$\int \frac{1 - x}{1 + x} d x$
28800	Evaluate the Integral	integral of (16-x^2)^(3/2) with respect to x	$\int {(16 - x^{2})}^{\frac{3}{2}} d x$