Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3501	Evaluate the Integral	integral of (x^3-2x^2)(1/x-5) with respect to x	$\int (x^{3} - 2 x^{2}) (\frac{1}{x} - 5) d x$
3502	Find the 4th Derivative	y=10x^3+9x^2	$y = 10 x^{3} + 9 x^{2}$
3503	Evaluate the Integral	integral of 4x^3-3/(x^3) with respect to x	$\int 4 x^{3} - \frac{3}{x^{3}} d x$
3504	Evaluate the Integral	integral of (1-6x)e^(3x-9x^2) with respect to x	$\int (1 - 6 x) e^{3 x - 9 x^{2}} d x$
3505	Evaluate the Integral	integral of 2x-3x^2 with respect to x	$\int 2 x - 3 x^{2} d x$
3506	Evaluate the Integral	integral of 2sin(x)+3cos(x) with respect to x	$\int 2 \sin (x) + 3 \cos (x) d x$
3507	Find the 2nd Derivative	f(x)=(x^2+8)^9	$f (x) = {(x^{2} + 8)}^{9}$
3508	Find the 2nd Derivative	cos(2x)	$\cos (2 x)$
3509	Find the 2nd Derivative	2sin(x)+sin(2x)	$2 \sin (x) + \sin (2 x)$
3510	Find the 2nd Derivative	f(x)=xe^(-x^2)	$f (x) = x e^{- x^{2}}$
3511	Find the 2nd Derivative	f(x)=cos(x)	$f (x) = \cos (x)$
3512	Find the 2nd Derivative	y=12	$y = 12$
3513	Find the 2nd Derivative	y=xe^x	$y = x e^{x}$
3514	Find the 2nd Derivative	sin(2x)	$\sin (2 x)$
3515	Find the 2nd Derivative	sec(x-pi/2)	$\sec (x - \frac{π}{2})$
3516	Find the 3rd Derivative	y=4x^3+5x^2	$y = 4 x^{3} + 5 x^{2}$
3517	Find the 3rd Derivative	y=sin(x)	$y = \sin (x)$
3518	Evaluate the Integral	integral of 5/(9x^2+49) with respect to x	$\int \frac{5}{9 x^{2} + 49} d x$
3519	Find the Derivative - d/dx	y=20 square root of x	$y = 20 \sqrt{x}$
3520	Find the 3rd Derivative	f(x)=1/x	$f (x) = \frac{1}{x}$
3521	Evaluate the Integral	integral of 1/(4x^3) with respect to x	$\int \frac{1}{4 x^{3}} d x$
3522	Evaluate the Integral	integral of 1/(6x^5) with respect to x	$\int \frac{1}{6 x^{5}} d x$
3523	Evaluate the Integral	integral of 1/(x( natural log of x)^4) with respect to x	$\int \frac{1}{x \ln^{4} (x)} d x$
3524	Evaluate the Integral	integral of 1/(x square root of 9x^2-1) with respect to x	$\int \frac{1}{x \sqrt{9 x^{2} - 1}} d x$
3525	Evaluate the Integral	integral of 1/(x-3) with respect to x	$\int \frac{1}{x - 3} d x$
3526	Evaluate the Integral	integral of 1/(7x+3) with respect to x	$\int \frac{1}{7 x + 3} d x$
3527	Evaluate the Integral	integral of 1/(6x+4) with respect to x	$\int \frac{1}{6 x + 4} d x$
3528	Evaluate the Integral	integral of 1/(7x^6) with respect to x	$\int \frac{1}{7 x^{6}} d x$
3529	Evaluate the Integral	integral of 1/(7x^3) with respect to x	$\int \frac{1}{7 x^{3}} d x$
3530	Evaluate the Integral	integral of 1/(12x^6) with respect to x	$\int \frac{1}{12 x^{6}} d x$
3531	Evaluate the Integral	integral of 1/(1+y^2) with respect to y	$\int \frac{1}{1 + y^{2}} d y$
3532	Evaluate the Integral	integral of 1/(x^8) with respect to x	$\int \frac{1}{x^{8}} d x$
3533	Evaluate the Integral	integral of 1/(x^2-2x) with respect to x	$\int \frac{1}{x^{2} - 2 x} d x$
3534	Evaluate the Integral	integral of 1/(x^2+16) with respect to x	$\int \frac{1}{x^{2} + 16} d x$
3535	Evaluate the Integral	integral of 1/(e^(2x)) with respect to x	$\int \frac{1}{e^{2 x}} d x$
3536	Evaluate the Integral	integral of 1/( square root of x(1- square root of x)) with respect to x	$\int \frac{1}{\sqrt{x} (1 - \sqrt{x})} d x$
3537	Evaluate the Integral	integral of (sec(x)^2)/(tan(x)) with respect to x	$\int \frac{\sec^{2} (x)}{\tan (x)} d x$
3538	Evaluate the Integral	integral of (x^2-1)/(x^3+x) with respect to x	$\int \frac{x^{2} - 1}{x^{3} + x} d x$
3539	Evaluate the Integral	integral of (x^2-1)/(x^3-3x+1) with respect to x	$\int \frac{x^{2} - 1}{x^{3} - 3 x + 1} d x$
3540	Evaluate the Integral	integral of (x^2-3x+2)/(x+1) with respect to x	$\int \frac{x^{2} - 3 x + 2}{x + 1} d x$
3541	Evaluate the Integral	integral of (x^2-4)/x with respect to x	$\int \frac{x^{2} - 4}{x} d x$
3542	Evaluate the Integral	integral of (z^2)/( cube root of 1+z^3) with respect to z	$\int \frac{z^{2}}{\sqrt[3]{1 + z^{3}}} d z$
3543	Evaluate the Integral	integral of 1/((x-2)^(3/2)) with respect to x	$\int \frac{1}{{(x - 2)}^{\frac{3}{2}}} d x$
3544	Evaluate the Integral	integral of 4/(x^3+4x) with respect to x	$\int \frac{4}{x^{3} + 4 x} d x$
3545	Evaluate the Integral	integral of -5/r with respect to r	$\int - \frac{5}{r} d r$
3546	Evaluate the Integral	integral of 5/(x^2+1) with respect to x	$\int \frac{5}{x^{2} + 1} d x$
3547	Evaluate the Integral	integral of 5/(x^3) with respect to x	$\int \frac{5}{x^{3}} d x$
3548	Evaluate the Integral	integral of (cos(x))/x with respect to x	$\int \frac{\cos (x)}{x} d x$
3549	Evaluate the Integral	integral of (cos(pi/x))/(x^2) with respect to x	$\int \frac{\cos (\frac{π}{x})}{x^{2}} d x$
3550	Evaluate the Limit	limit as x approaches 2 of square root of (2x^3+4)/(x^2+1)	$lim_{x \to 2} \sqrt{\frac{2 x^{3} + 4}{x^{2} + 1}}$
3551	Evaluate the Integral	integral of 19/(2+5y) with respect to y	$\int \frac{19}{2 + 5 y} d y$
3552	Evaluate the Integral	integral of 2/(x^2-1) with respect to x	$\int \frac{2}{x^{2} - 1} d x$
3553	Evaluate the Integral	integral of 3/(x natural log of x) with respect to x	$\int \frac{3}{x \ln (x)} d x$
3554	Evaluate the Integral	integral of 34/(x^2) with respect to x	$\int \frac{34}{x^{2}} d x$
3555	Evaluate the Integral	integral of (3x^2-4)/(x^2) with respect to x	$\int \frac{3 x^{2} - 4}{x^{2}} d x$
3556	Evaluate the Integral	integral from pi/6 to pi of sin(x) with respect to x	$\int_{\frac{π}{6}}^{π} \sin (x) d x$
3557	Evaluate the Integral	integral of sin(x)^4cos(x) with respect to x	$\int \sin^{4} (x) \cos (x) d x$
3558	Evaluate the Integral	integral of sec(x)^5 with respect to x	$\int \sec^{5} (x) d x$
3559	Evaluate the Integral	integral of sec(x)^2tan(x)^3 with respect to x	$\int \sec^{2} (x) \tan^{3} (x) d x$
3560	Evaluate the Integral	integral of sec(x)^2tan(x)^5 with respect to x	$\int \sec^{2} (x) \tan^{5} (x) d x$
3561	Evaluate the Integral	integral of sec(x)^2-sin(x) with respect to x	$\int \sec^{2} (x) - \sin (x) d x$
3562	Evaluate the Integral	integral of sec(4x)^2 with respect to x	$\int \sec^{2} (4 x) d x$
3563	Evaluate the Integral	integral of sin(2x)^5cos(2x) with respect to x	$\int \sin^{5} (2 x) \cos (2 x) d x$
3564	Evaluate the Integral	integral of sin(x)^6 with respect to x	$\int \sin^{6} (x) d x$
3565	Evaluate the Integral	integral of sin(x)^3cos(x)^5 with respect to x	$\int \sin^{3} (x) \cos^{5} (x) d x$
3566	Evaluate the Integral	integral of tan(x)^3sec(x)^2 with respect to x	$\int \tan^{3} (x) \sec^{2} (x) d x$
3567	Evaluate the Integral	integral of 1/(2x+1) with respect to xdx	$\int \frac{1}{2 x + 1} d x d x$
3568	Evaluate the Integral	integral of cos(4x)^3 with respect to x	$\int \cos^{3} (4 x) d x$
3569	Evaluate the Integral	integral of e^(-x^4)(-4x^3) with respect to x	$\int e^{- x^{4}} (- 4 x^{3}) d x$
3570	Evaluate the Integral	integral of e^(2x)sin(2x) with respect to x	$\int e^{2 x} \sin (2 x) d x$
3571	Evaluate the Integral	integral of e^(1-x) with respect to x	$\int e^{1 - x} d x$
3572	Evaluate the Integral	integral of ( natural log of x^6)/x with respect to x	$\int \frac{\ln (x^{6})}{x} d x$
3573	Evaluate the Integral	integral of e^xx with respect to x	$\int e^{x} x d x$
3574	Evaluate the Integral	integral of ( natural log of x)/(2x) with respect to x	$\int \frac{\ln (x)}{2 x} d x$
3575	Evaluate the Integral	integral of ( natural log of 2x)/x with respect to x	$\int \frac{\ln (2 x)}{x} d x$
3576	Evaluate the Integral	integral of 8x with respect to x	$\int 8 x d x$
3577	Evaluate the Integral	integral from pi/3 to pi of sin(x) with respect to x	$\int_{\frac{π}{3}}^{π} \sin (x) d x$
3578	Evaluate the Integral	integral of e^(7x+4) with respect to x	$\int e^{7 x + 4} d x$
3579	Evaluate the Integral	integral of e^(-8x) with respect to x	$\int e^{- 8 x} d x$
3580	Evaluate the Integral	integral of e^(3x)cos(4x) with respect to x	$\int e^{3 x} \cos (4 x) d x$
3581	Evaluate the Integral	integral of x/( square root of x+4) with respect to x	$\int \frac{x}{\sqrt{x + 4}} d x$
3582	Evaluate the Integral	integral of x/(x^4+2x^2+1) with respect to x	$\int \frac{x}{x^{4} + 2 x^{2} + 1} d x$
3583	Evaluate the Integral	integral of x/(1+4x^2) with respect to x	$\int \frac{x}{1 + 4 x^{2}} d x$
3584	Evaluate the Integral	integral of x^2*cos(x) with respect to x	$\int x^{2} \cdot \cos (x) d x$
3585	Evaluate the Integral	integral of x^2e^(7x) with respect to x	$\int x^{2} e^{7 x} d x$
3586	Evaluate the Integral	integral of x^2-5x+4 with respect to x	$\int x^{2} - 5 x + 4 d x$
3587	Evaluate the Integral	integral of x^2e^(8x) with respect to x	$\int x^{2} e^{8 x} d x$
3588	Evaluate the Integral	integral of x^2e^(9x) with respect to x	$\int x^{2} e^{9 x} d x$
3589	Evaluate the Integral	integral of fifth root of x^3 with respect to x	$\int \sqrt[5]{x^{3}} d x$
3590	Evaluate the Integral	integral of ninth root of x with respect to x	$\int \sqrt[9]{x} d x$
3591	Evaluate the Integral	integral of cube root of x(x-4) with respect to x	$\int \sqrt[3]{x} (x - 4) d x$
3592	Evaluate the Integral	integral of square root of x natural log of 2x with respect to x	$\int \sqrt{x} \ln (2 x) d x$
3593	Evaluate the Integral	integral of square root of y with respect to y	$\int \sqrt{y} d y$
3594	Evaluate the Integral	integral of square root of 4x+5 with respect to x	$\int \sqrt{4 x + 5} d x$
3595	Evaluate the Integral	integral of square root of 4x-1 with respect to x	$\int \sqrt{4 x - 1} d x$
3596	Evaluate the Integral	integral of square root of 8x+3 with respect to x	$\int \sqrt{8 x + 3} d x$
3597	Evaluate the Integral	integral of x^2sin(x^3) with respect to x	$\int x^{2} \sin (x^{3}) d x$
3598	Evaluate the Integral	integral of x^2 log of x with respect to x	$\int x^{2} \log (x) d x$
3599	Evaluate the Integral	integral of x^3cos(2x) with respect to x	$\int x^{3} \cos (2 x) d x$
3600	Evaluate the Integral	integral of x^7 natural log of x with respect to x	$\int x^{7} \ln (x) d x$