Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
85501	Integrate Using u-Substitution	integral of tan(x)^4sec(x)^2 with respect to x	$\int \tan^{4} (x) \sec^{2} (x) d x$
85502	Integrate Using u-Substitution	integral of e^(-2x) with respect to x	$\int e^{- 2 x} d x$
85503	Integrate Using u-Substitution	integral of x^2e^(-x^3) with respect to x	$\int x^{2} e^{- x^{3}} d x$
85504	Integrate Using u-Substitution	integral of sin(x)cos(x) with respect to x	$\int \sin (x) \cos (x) d x$
85505	Integrate Using u-Substitution	integral of sin(x)^3cos(x)^4 with respect to x	$\int \sin^{3} (x) \cos^{4} (x) d x$
85506	Integrate Using u-Substitution	integral of cube root of 3-4x^2(-8x) with respect to x	$\int \sqrt[3]{3 - 4 x^{2}} (- 8 x) d x$
85507	Integrate Using u-Substitution	integral of square root of x-2 with respect to x	$\int \sqrt{x - 2} d x$
85508	Integrate Using u-Substitution	integral of 6x^2 square root of 3x^3-1 with respect to x	$\int 6 x^{2} \sqrt{3 x^{3} - 1} d x$
85509	Integrate Using u-Substitution	integral of x(4x-1)^4 with respect to x	$\int x {(4 x - 1)}^{4} d x$
85510	Integrate Using u-Substitution	integral of (4x)/(2x^2+6) with respect to x	$\int \frac{4 x}{2 x^{2} + 6} d x$
85511	Integrate Using u-Substitution	integral of cos(8x) with respect to x , u=8x	$\int \cos (8 x) d x$ , $u = 8 x$
85512	Integrate Using u-Substitution	integral of 1/(x^2 square root of 4-x^2) with respect to x	$\int \frac{1}{x^{2} \sqrt{4 - x^{2}}} d x$
85513	Integrate Using u-Substitution	integral of 3x^2(x^3-4)^8 with respect to x	$\int 3 x^{2} {(x^{3} - 4)}^{8} d x$
85514	Integrate Using u-Substitution	integral of tan(x)sec(x)^2 with respect to x	$\int \tan (x) \sec^{2} (x) d x$
85515	Integrate Using u-Substitution	integral of sec(x)^3 with respect to x	$\int \sec^{3} (x) d x$
85516	Integrate Using u-Substitution	integral from 0 to 4 of 1/( square root of 2x+1) with respect to x	$\int_{0}^{4} \frac{1}{\sqrt{2 x + 1}} d x$
85517	Integrate Using u-Substitution	integral of e^( natural log of x)(dx)/x with respect to x	$\int e^{\ln (x)} \frac{d x}{x} d x$
85518	Integrate Using u-Substitution	integral from negative infinity to 0 of 1/(16+x^2) with respect to x	$\int_{- \infty}^{0} \frac{1}{16 + x^{2}} d x$
85519	Integrate Using u-Substitution	integral of x^3 square root of x^2+4 with respect to x	$\int x^{3} \sqrt{x^{2} + 4} d x$
85520	Integrate Using u-Substitution	integral of square root of 9-x^2(-2x) with respect to x	$\int \sqrt{9 - x^{2}} (- 2 x) d x$
85521	Integrate Using u-Substitution	integral of 18t^2(t^3+1)^5 with respect to t	$\int 18 t^{2} {(t^{3} + 1)}^{5} d t$
85522	Integrate Using u-Substitution	integral of 1/( square root of x) with respect to x	$\int \frac{1}{\sqrt{x}} d x$
85523	Integrate Using u-Substitution	integral of xe^(-x^2) with respect to x	$\int x e^{- x^{2}} d x$
85524	Integrate Using u-Substitution	integral of x^2 square root of 2+x with respect to x	$\int x^{2} \sqrt{2 + x} d x$
85525	Integrate Using u-Substitution	integral of 2sin(2x)cos(2x) with respect to x	$\int 2 \sin (2 x) \cos (2 x) d x$
85526	Integrate Using u-Substitution	integral of cube root of x with respect to x	$\int \sqrt[3]{x} d x$
85527	Integrate Using u-Substitution	integral of (2x+1)/( square root of x+4) with respect to x	$\int \frac{2 x + 1}{\sqrt{x + 4}} d x$
85528	Integrate Using u-Substitution	integral of x^2(8x^3+7)^2 with respect to x	$\int x^{2} {(8 x^{3} + 7)}^{2} d x$
85529	Integrate Using u-Substitution	integral of 1/(x square root of 4x^2-1) with respect to x	$\int \frac{1}{x \sqrt{4 x^{2} - 1}} d x$
85530	Integrate Using u-Substitution	integral of cos(x)^4 with respect to x	$\int \cos^{4} (x) d x$
85531	Integrate Using u-Substitution	integral of (x^2)/(x-1) with respect to x	$\int \frac{x^{2}}{x - 1} d x$
85532	Integrate Using u-Substitution	integral of 6x(x^2+1)^2 with respect to x	$\int 6 x {(x^{2} + 1)}^{2} d x$
85533	Integrate Using u-Substitution	integral of e^( square root of x) with respect to x	$\int e^{\sqrt{x}} d x$
85534	Integrate Using u-Substitution	integral of xcos(2x^2) with respect to x	$\int x \cos (2 x^{2}) d x$
85535	Integrate Using u-Substitution	integral of (-4x)/((1-2x^2)^2) with respect to x	$\int \frac{- 4 x}{{(1 - 2 x^{2})}^{2}} d x$
85536	Integrate Using u-Substitution	integral of x^3cos(x^4) with respect to x	$\int x^{3} \cos (x^{4}) d x$
85537	Integrate Using u-Substitution	integral of sin(x)^5 with respect to x	$\int \sin^{5} (x) d x$
85538	Integrate Using u-Substitution	integral of 1/(2x) with respect to x	$\int \frac{1}{2 x} d x$
85539	Integrate Using u-Substitution	integral from 0 to 1 of (2x+1)e^(x^2+x) with respect to x	$\int_{0}^{1} (2 x + 1) e^{x^{2} + x} d x$
85540	Integrate Using u-Substitution	integral of (x^2-1) square root of 2x+1 with respect to x	$\int (x^{2} - 1) \sqrt{2 x + 1} d x$
85541	Integrate Using u-Substitution	integral of xcos(x^2) with respect to x	$\int x \cos (x^{2}) d x$
85542	Integrate Using u-Substitution	integral of (2x)/( square root of x^2+6) with respect to x	$\int \frac{2 x}{\sqrt{x^{2} + 6}} d x$
85543	Integrate Using u-Substitution	integral of (x^2)/(1+x^2) with respect to x	$\int \frac{x^{2}}{1 + x^{2}} d x$
85544	Integrate Using u-Substitution	integral of x/( square root of x-2) with respect to x	$\int \frac{x}{\sqrt{x - 2}} d x$
85545	Integrate Using u-Substitution	integral from e to e^4 of 1/(x square root of natural log of x) with respect to x	$\int_{e}^{e^{4}} \frac{1}{x \sqrt{\ln (x)}} d x$
85546	Integrate Using u-Substitution	integral of (x+1) square root of 2x+x^2 with respect to x	$\int (x + 1) \sqrt{2 x + x^{2}} d x$
85547	Integrate Using u-Substitution	integral of cot(x)^3csc(x)^2 with respect to x	$\int \cot^{3} (x) \csc^{2} (x) d x$
85548	Integrate Using u-Substitution	integral of 1/((1-x)^2) with respect to x	$\int \frac{1}{{(1 - x)}^{2}} d x$
85549	Integrate Using u-Substitution	integral of cos(6x) with respect to x , u=6x	$\int \cos (6 x) d x$ , $u = 6 x$
85550	Integrate Using u-Substitution	integral of x^3e^(x^2) with respect to x	$\int x^{3} e^{x^{2}} d x$
85551	Integrate Using u-Substitution	integral of xe^(x^2+1) with respect to x	$\int x e^{x^{2} + 1} d x$
85552	Integrate Using u-Substitution	integral of xsin(x) with respect to x	$\int x \sin (x) d x$
85553	Integrate Using u-Substitution	integral of x square root of 4x+1 with respect to x	$\int x \sqrt{4 x + 1} d x$
85554	Integrate Using u-Substitution	integral of sec(x)^3tan(x) with respect to x	$\int \sec^{3} (x) \tan (x) d x$
85555	Integrate Using u-Substitution	integral of (x^2-3)/((x+1)^3) with respect to x	$\int \frac{x^{2} - 3}{{(x + 1)}^{3}} d x$
85556	Integrate Using u-Substitution	integral of ((3+e^x)^2)/(e^x) with respect to x	$\int \frac{{(3 + e^{x})}^{2}}{e^{x}} d x$
85557	Integrate Using u-Substitution	integral of x square root of x-2 with respect to x	$\int x \sqrt{x - 2} d x$
85558	Integrate Using u-Substitution	integral of x^3 square root of 1-x^2 with respect to x	$\int x^{3} \sqrt{1 - x^{2}} d x$
85559	Integrate Using u-Substitution	integral of 1/( square root of 4-x^2) with respect to x	$\int \frac{1}{\sqrt{4 - x^{2}}} d x$
85560	Integrate Using u-Substitution	integral of x*8^(x^2-1) with respect to x	$\int x \cdot 8^{x^{2} - 1} d x$
85561	Integrate Using u-Substitution	integral of (x^2)/(5-x^3) with respect to x	$\int \frac{x^{2}}{5 - x^{3}} d x$
85562	Integrate Using u-Substitution	integral from 0 to 1 of x square root of 1-x^2 with respect to x	$\int_{0}^{1} x \sqrt{1 - x^{2}} d x$
85563	Integrate Using u-Substitution	integral from 0 to 1 of (r^3)/( square root of 4+r^2) with respect to r	$\int_{0}^{1} \frac{r^{3}}{\sqrt{4 + r^{2}}} d r$
85564	Integrate Using u-Substitution	integral of (cos( natural log of x))/x with respect to x	$\int \frac{\cos (\ln (x))}{x} d x$
85565	Integrate Using u-Substitution	integral of x^2 square root of x^3+1 with respect to x , u=x^3+1	$\int x^{2} \sqrt{x^{3} + 1} d x$ , $u = x^{3} + 1$
85566	Integrate Using u-Substitution	integral of x^2e^(-x) with respect to x	$\int x^{2} e^{- x} d x$
85567	Integrate Using u-Substitution	integral of ( natural log of x)^2 with respect to x	$\int \ln^{2} (x) d x$
85568	Integrate Using u-Substitution	integral of square root of x with respect to x	$\int \sqrt{x} d x$
85569	Integrate Using u-Substitution	integral from 0 to 4 of x/( square root of 1+2x) with respect to x	$\int_{0}^{4} \frac{x}{\sqrt{1 + 2 x}} d x$
85570	Integrate Using u-Substitution	integral of 1/(theta^2)cos(1/theta) with respect to theta	$\int \frac{1}{θ^{2}} \cos (\frac{1}{θ}) d θ$
85571	Integrate Using u-Substitution	integral of ( square root of 9-x^2)/(x^2) with respect to x	$\int \frac{\sqrt{9 - x^{2}}}{x^{2}} d x$
85572	Integrate Using u-Substitution	integral of (x^9)/(1+x^20) with respect to x	$\int \frac{x^{9}}{1 + x^{20}} d x$
85573	Integrate Using u-Substitution	integral from 0 to 4 of xe^(x^2) with respect to x	$\int_{0}^{4} x e^{x^{2}} d x$
85574	Integrate Using u-Substitution	integral of (1+2x)^4(2) with respect to x	$\int {(1 + 2 x)}^{4} (2) d x$
85575	Integrate Using u-Substitution	integral of (cos(x))/(sin(x)^2) with respect to x	$\int \frac{\cos (x)}{\sin^{2} (x)} d x$
85576	Integrate Using u-Substitution	integral from 0 to 2 of 1/(1+((x^2)/4)) with respect to x	$\int_{0}^{2} \frac{1}{1 + (\frac{x^{2}}{4})} d x$
85577	Integrate Using u-Substitution	integral from 0 to 1 of x^2(1+2x^3)^5 with respect to x	$\int_{0}^{1} x^{2} {(1 + 2 x^{3})}^{5} d x$
85578	Integrate Using u-Substitution	integral from 0 to 2 of square root of 4-x^2 with respect to x	$\int_{0}^{2} \sqrt{4 - x^{2}} d x$
85579	Integrate Using u-Substitution	integral of x^3 natural log of x with respect to x	$\int x^{3} \ln (x) d x$
85580	Integrate Using u-Substitution	integral of square root of 1+x^2x^5 with respect to x	$\int \sqrt{1 + x^{2}} x^{5} d x$
85581	Integrate Using u-Substitution	integral of x^2sin(x) with respect to x	$\int x^{2} \sin (x) d x$
85582	Integrate Using u-Substitution	integral of x^2e^(-2x^3) with respect to x	$\int x^{2} e^{- 2 x^{3}} d x$
85583	Integrate Using u-Substitution	integral of sec(x)^2tan(x) with respect to x	$\int \sec^{2} (x) \tan (x) d x$
85584	Integrate Using u-Substitution	integral of 2e^(2x)(e^(2x)-5)^7 with respect to x	$\int 2 e^{2 x} {(e^{2 x} - 5)}^{7} d x$
85585	Integrate Using u-Substitution	integral from 0 to 1 of square root of 1-x^2 with respect to x	$\int_{0}^{1} \sqrt{1 - x^{2}} d x$
85586	Integrate Using u-Substitution	integral of square root of 1+x^2 with respect to x	$\int \sqrt{1 + x^{2}} d x$
85587	Integrate Using u-Substitution	integral of 28(7x-2)^3 with respect to x	$\int 28 {(7 x - 2)}^{3} d x$
85588	Integrate Using u-Substitution	pi integral from 0 to 2 of (3x^2+2)^2 with respect to x	$π \int_{0}^{2} {(3 x^{2} + 2)}^{2} d x$
85589	Integrate Using u-Substitution	integral of x^2e^(2x) with respect to x	$\int x^{2} e^{2 x} d x$
85590	Integrate Using u-Substitution	integral of x/(x+1) with respect to x	$\int \frac{x}{x + 1} d x$
85591	Integrate Using u-Substitution	integral of x^2sin(x^3) with respect to x	$\int x^{2} \sin (x^{3}) d x$
85592	Integrate Using u-Substitution	integral of (x+2)/((2x-4)^(3/2)) with respect to x	$\int \frac{x + 2}{{(2 x - 4)}^{\frac{3}{2}}} d x$
85593	Integrate Using u-Substitution	integral from 0 to 13 of 1/( cube root of (1+2x)^2) with respect to x	$\int_{0}^{13} \frac{1}{\sqrt[3]{{(1 + 2 x)}^{2}}} d x$
85594	Integrate Using u-Substitution	integral of 1/(y square root of y) with respect to y	$\int \frac{1}{y \sqrt{y}} d y$
85595	Integrate Using u-Substitution	integral of sin(x)^2cos(x)^3 with respect to x	$\int \sin^{2} (x) \cos^{3} (x) d x$
85596	Integrate Using u-Substitution	integral of x^2 square root of 3x+2 with respect to x	$\int x^{2} \sqrt{3 x + 2} d x$
85597	Integrate Using u-Substitution	integral from 0 to 4 of x/( square root of x^2+9) with respect to x	$\int_{0}^{4} \frac{x}{\sqrt{x^{2} + 9}} d x$
85598	Integrate Using u-Substitution	integral of x^2cos(x) with respect to x	$\int x^{2} \cos (x) d x$
85599	Integrate Using u-Substitution	integral from 1 to 2 of (e^(1/(x^3)))/(x^4) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x^{3}}}}{x^{4}} d x$
85600	Integrate Using u-Substitution	integral of sin(x)cos(x)^2 with respect to x	$\int \sin (x) \cos^{2} (x) d x$