Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
26601	Evaluate the Integral	integral from 1 to e of 4/x with respect to x	$\int_{1}^{e} \frac{4}{x} d x$
26602	Evaluate the Integral	integral from 1 to e of (1- natural log of x)/x with respect to x	$\int_{1}^{e} \frac{1 - \ln (x)}{x} d x$
26603	Evaluate the Integral	integral from 1 to e of natural log of x^m with respect to x	$\int_{1}^{e} \ln (x^{m}) d x$
26604	Evaluate the Integral	integral of -15x^2+26x with respect to x	$\int - 15 x^{2} + 26 x d x$
26605	Evaluate the Integral	integral from 16 to 20 of 3.96+0.07x+0.015x^2 with respect to x	$\int_{16}^{20} 3.96 + 0.07 x + 0.015 x^{2} d x$
26606	Evaluate the Integral	integral of 16x^2e^(4x^3) with respect to x	$\int 16 x^{2} e^{4 x^{3}} d x$
26607	Evaluate the Integral	integral of 16tan(x)^2sec(x)^2 with respect to x	$\int 16 \tan^{2} (x) \sec^{2} (x) d x$
26608	Evaluate the Integral	integral of 16tan(x)^4sec(x)^6 with respect to x	$\int 16 \tan^{4} (x) \sec^{6} (x) d x$
26609	Evaluate the Integral	integral of 16 natural log of cube root of x with respect to x	$\int 16 \ln (\sqrt[3]{x}) d x$
26610	Evaluate the Integral	integral of 18x^2 fourth root of 6x^3+5 with respect to x	$\int 18 x^{2} \sqrt[4]{6 x^{3} + 5} d x$
26611	Evaluate the Integral	integral of 19 with respect to x	$\int 19 d x$
26612	Evaluate the Integral	integral of 18 square root of y with respect to y	$\int 18 \sqrt{y} d y$
26613	Evaluate the Integral	integral of 18t^8e^(-t^9) with respect to t	$\int 18 t^{8} e^{- t^{9}} d t$
26614	Evaluate the Integral	integral of 12x cube root of x with respect to x	$\int 12 x \sqrt[3]{x} d x$
26615	Evaluate the Integral	integral of 12x-6 with respect to x	$\int 12 x - 6 d x$
26616	Evaluate the Integral	integral of 12xcos(6x^2+1) with respect to x	$\int 12 x \cos (6 x^{2} + 1) d x$
26617	Evaluate the Integral	integral of 13tan(x)^4 with respect to x	$\int 13 \tan^{4} (x) d x$
26618	Evaluate the Integral	integral of -13x with respect to x	$\int - 13 x d x$
26619	Evaluate the Integral	integral of 14tan(x)^2sec(x)^2 with respect to x	$\int 14 \tan^{2} (x) \sec^{2} (x) d x$
26620	Evaluate the Integral	integral of 13x^-7 with respect to x	$\int 13 x^{- 7} d x$
26621	Evaluate the Integral	integral of 13x^12-12/(x^12) with respect to x	$\int 13 x^{12} - \frac{12}{x^{12}} d x$
26622	Evaluate the Integral	integral of 15(y^6+4y^3+3)^3(2y^5+4y^2) with respect to y	$\int 15 {(y^{6} + 4 y^{3} + 3)}^{3} (2 y^{5} + 4 y^{2}) d y$
26623	Evaluate the Integral	integral of 15e^(-5x) with respect to x	$\int 15 e^{- 5 x} d x$
26624	Evaluate the Integral	integral of 15t^2 with respect to t	$\int 15 t^{2} d t$
26625	Evaluate the Integral	integral of 15t^2+10t with respect to t	$\int 15 t^{2} + 10 t d t$
26626	Evaluate the Integral	integral of 15 square root of x with respect to x	$\int 15 \sqrt{x} d x$
26627	Evaluate the Integral	integral of 15 square root of y with respect to y	$\int 15 \sqrt{y} d y$
26628	Evaluate the Integral	integral of 15xe^(-3x) with respect to x	$\int 15 x e^{- 3 x} d x$
26629	Evaluate the Integral	integral of 12t with respect to t	$\int 12 t d t$
26630	Evaluate the Integral	integral of 12t(3t^2-1)^3 with respect to t	$\int 12 t {(3 t^{2} - 1)}^{3} d t$
26631	Evaluate the Integral	integral of 12x-4/( square root of x) with respect to x	$\int 12 x - \frac{4}{\sqrt{x}} d x$
26632	Evaluate the Integral	integral of 12x natural log of 7x with respect to x	$\int 12 x \ln (7 x) d x$
26633	Evaluate the Integral	integral of 12x^2(x-1) with respect to x	$\int 12 x^{2} (x - 1) d x$
26634	Evaluate the Integral	integral of 12x^2 with respect to x	$\int 12 x^{2} d x$
26635	Evaluate the Integral	integral of 12 cube root of sin(x)cos(x) with respect to x	$\int 12 \sqrt[3]{\sin (x)} \cos (x) d x$
26636	Evaluate the Integral	integral of 12x^-3+e^(6x) with respect to x	$\int 12 x^{- 3} + e^{6 x} d x$
26637	Evaluate the Integral	integral of 12+500/(x+1) with respect to x	$\int 12 + \frac{500}{x + 1} d x$
26638	Evaluate the Integral	integral from 1 to 36 of 1/( square root of x) with respect to x	$\int_{1}^{36} \frac{1}{\sqrt{x}} d x$
26639	Evaluate the Integral	integral from -2 to -1 of 7y^3+4y^-3 with respect to y	$\int_{- 2}^{- 1} 7 y^{3} + 4 y^{- 3} d y$
26640	Evaluate the Integral	integral from -2 to 1 of (5-x^2)-(x+3) with respect to x	$\int_{- 2}^{1} (5 - x^{2}) - (x + 3) d x$
26641	Evaluate the Integral	integral from -2 to 2 of 12-3x^2 with respect to x	$\int_{- 2}^{2} 12 - 3 x^{2} d x$
26642	Evaluate the Integral	integral from -2 to 1 of p with respect to x	$\int_{- 2}^{1} p d x$
26643	Evaluate the Integral	integral from 2 to 3 of 3/(5x) with respect to x	$\int_{2}^{3} \frac{3}{5 x} d x$
26644	Evaluate the Integral	integral from 2 to 3 of (2+u^2)/(u^3) with respect to u	$\int_{2}^{3} \frac{2 + u^{2}}{u^{3}} d u$
26645	Evaluate the Integral	integral from 2 to 3 of (2+2x)^2 with respect to x	$\int_{2}^{3} {(2 + 2 x)}^{2} d x$
26646	Find the Derivative - d/d@VAR	k(t)=(t^2-8)^2	$k (t) = {(t^{2} - 8)}^{2}$
26647	Evaluate the Integral	integral of (e^(2 square root of x))/( square root of x) with respect to x	$\int \frac{e^{2 \sqrt{x}}}{\sqrt{x}} d x$
26648	Evaluate the Integral	integral from 2 to 3 of 0.1e^(-0.1a)+2/a with respect to a	$\int_{2}^{3} 0.1 e^{- 0.1 a} + \frac{2}{a} d a$
26649	Evaluate the Integral	integral from 2 to 3 of 1+2e^(-0.4x) with respect to x	$\int_{2}^{3} 1 + 2 e^{- 0.4 x} d x$
26650	Evaluate the Integral	integral of 1/(e^(4x)) with respect to x	$\int \frac{1}{e^{4 x}} d x$
26651	Evaluate the Integral	integral from -2 to 2 of 3 with respect to x	$\int_{- 2}^{2} 3 d x$
26652	Evaluate the Integral	integral of 1/(6x+5) with respect to x	$\int \frac{1}{6 x + 5} d x$
26653	Evaluate the Integral	integral of x^3e^(4x^4) with respect to x	$\int x^{3} e^{4 x^{4}} d x$
26654	Evaluate the Integral	integral from -2 to 2 of 3+ square root of 4-x^2 with respect to x	$\int_{- 2}^{2} 3 + \sqrt{4 - x^{2}} d x$
26655	Evaluate the Integral	integral from -2 to 2 of 36^(x/2) with respect to x	$\int_{- 2}^{2} 36^{\frac{x}{2}} d x$
26656	Evaluate the Integral	integral from 2 to 4 of square root of 8x-16 with respect to x	$\int_{2}^{4} \sqrt{8 x - 16} d x$
26657	Evaluate the Integral	integral from 2 to 5 of (2-x)(x-5) with respect to x	$\int_{2}^{5} (2 - x) (x - 5) d x$
26658	Evaluate the Integral	integral from 2 to 5 of 2+2t+3t^2 with respect to t	$\int_{2}^{5} 2 + 2 t + 3 t^{2} d t$
26659	Evaluate the Integral	integral from -2 to 4 of 4x^3 with respect to x	$\int_{- 2}^{4} 4 x^{3} d x$
26660	Evaluate the Integral	integral from 2 to 4 of (w^4-w)/(w^3) with respect to w	$\int_{2}^{4} \frac{w^{4} - w}{w^{3}} d w$
26661	Evaluate the Integral	integral from 2 to 4 of (x^2+2)^3x with respect to x	$\int_{2}^{4} {(x^{2} + 2)}^{3} x d x$
26662	Evaluate the Integral	integral from 2 to 4 of ( square root of 36-x^2)/x with respect to x	$\int_{2}^{4} \frac{\sqrt{36 - x^{2}}}{x} d x$
26663	Evaluate the Integral	integral from 2 to 4 of 1/(dt) with respect to x*(3t^2+2t-1)dt	$\int_{2}^{4} \frac{1}{d t} d x \cdot (3 t^{2} + 2 t - 1) d t$
26664	Evaluate the Integral	integral from 2 to 4 of square root of 1x^4 with respect to x+ integral from 2 to 4 of square root of 3 with respect to x	$\int_{2}^{4} \sqrt{1 x^{4}} d x + \int_{2}^{4} \sqrt{3} d x$
26665	Evaluate the Integral	integral from 2 to 4 of 5x^3+6 with respect to x	$\int_{2}^{4} 5 x^{3} + 6 d x$
26666	Evaluate the Integral	integral from 2 to 4 of 7x+2 with respect to x	$\int_{2}^{4} 7 x + 2 d x$
26667	Evaluate the Integral	integral from 2 to 4 of 10+4x-3x^3 with respect to x	$\int_{2}^{4} 10 + 4 x - 3 x^{3} d x$
26668	Evaluate the Integral	integral from 2 to 3 of 8x(x^2-5) with respect to x	$\int_{2}^{3} 8 x (x^{2} - 5) d x$
26669	Evaluate the Integral	integral from 2 to 3 of 18x with respect to x	$\int_{2}^{3} 18 x d x$
26670	Evaluate the Integral	integral from 2 to 3 of x(x-2) with respect to x	$\int_{2}^{3} x (x - 2) d x$
26671	Evaluate the Integral	integral from 1 to 4 of (3x+2)^2 with respect to x	$\int_{1}^{4} {(3 x + 2)}^{2} d x$
26672	Evaluate the Integral	integral from 1 to 4 of 2x+1 with respect to x	$\int_{1}^{4} 2 x + 1 d x$
26673	Evaluate the Integral	integral from 1 to 4 of 32/(x^3) with respect to x	$\int_{1}^{4} \frac{32}{x^{3}} d x$
26674	Evaluate the Integral	integral from 1 to 4 of (12( natural log of x)^5)/x with respect to x	$\int_{1}^{4} \frac{12 \ln^{5} (x)}{x} d x$
26675	Evaluate the Integral	integral from 1 to 4 of (8( natural log of x)^3)/x with respect to x	$\int_{1}^{4} \frac{8 \ln^{3} (x)}{x} d x$
26676	Evaluate the Integral	integral from 1 to 4 of (cos( square root of x))/( square root of x) with respect to x	$\int_{1}^{4} \frac{\cos (\sqrt{x})}{\sqrt{x}} d x$
26677	Find the Derivative - d/d@VAR	g(y)=e^y*y^e	$g (y) = e^{y} \cdot y^{e}$
26678	Evaluate the Integral	integral from 1 to 3 of 8-2x with respect to x	$\int_{1}^{3} 8 - 2 x d x$
26679	Evaluate the Integral	integral from 1 to 3 of 9r^3 natural log of r with respect to r	$\int_{1}^{3} 9 r^{3} \ln (r) d r$
26680	Evaluate the Integral	integral from 1 to 32 of x^(-(11/5)) with respect to x	$\int_{1}^{32} x^{- (\frac{11}{5})} d x$
26681	Evaluate the Integral	integral from 1 to 32 of x^(-(9/5)) with respect to x	$\int_{1}^{32} x^{- (\frac{9}{5})} d x$
26682	Evaluate the Integral	integral from 1 to 3 of p( natural log of x)^2 with respect to x	$\int_{1}^{3} p \ln^{2} (x) d x$
26683	Evaluate the Integral	integral from 1 to 3.5 of 2x^-1 with respect to x	$\int_{1}^{3.5} 2 x^{- 1} d x$
26684	Evaluate the Integral	integral from 1 to 3 of 9/(x^3) with respect to x	$\int_{1}^{3} \frac{9}{x^{3}} d x$
26685	Evaluate the Integral	integral from 1 to 3 of x^2(x^3-10)^3 with respect to x	$\int_{1}^{3} x^{2} {(x^{3} - 10)}^{3} d x$
26686	Evaluate the Integral	integral of y/(y^2+1) with respect to y	$\int \frac{y}{y^{2} + 1} d y$
26687	Evaluate the Integral	integral from 1 to 3 of (12( natural log of x)^3)/x with respect to x	$\int_{1}^{3} \frac{12 \ln^{3} (x)}{x} d x$
26688	Evaluate the Integral	integral from 1 to 3 of (2x-1)^4 with respect to x	$\int_{1}^{3} {(2 x - 1)}^{4} d x$
26689	Evaluate the Integral	integral from 1 to 2 of (6x-1)/(3x^2-x) with respect to x	$\int_{1}^{2} \frac{6 x - 1}{3 x^{2} - x} d x$
26690	Evaluate the Integral	integral from 1 to 2 of 4^x with respect to x	$\int_{1}^{2} 4^{x} d x$
26691	Evaluate the Integral	integral from 1 to 2 of (4y^2-7y-12)/(y(y+2)(y-3)) with respect to y	$\int_{1}^{2} \frac{4 y^{2} - 7 y - 12}{y (y + 2) (y - 3)} d y$
26692	Evaluate the Integral	integral from 1 to 2 of 1/(x natural log of (x)^p) with respect to x	$\int_{1}^{2} \frac{1}{x \ln ({(x)}^{p})} d x$
26693	Evaluate the Integral	integral from 1 to 2 of (2x)/(x^2+1) with respect to x	$\int_{1}^{2} \frac{2 x}{x^{2} + 1} d x$
26694	Evaluate the Integral	integral from 1 to 2 of (x-4)/(x^2) with respect to x	$\int_{1}^{2} \frac{x - 4}{x^{2}} d x$
26695	Evaluate the Integral	integral from 1 to 2 of (t^8-t^4)/(t^6) with respect to t	$\int_{1}^{2} \frac{t^{8} - t^{4}}{t^{6}} d t$
26696	Evaluate the Integral	integral from 1 to 2 of 2(x^-2+3x)x^2 with respect to x	$\int_{1}^{2} 2 (x^{- 2} + 3 x) x^{2} d x$
26697	Find the Derivative - d/d@VAR	f(x)=8x^4-x^6	$f (x) = 8 x^{4} - x^{6}$
26698	Evaluate the Integral	integral from 1 to 2 of natural log of 14x with respect to x	$\int_{1}^{2} \ln (14 x) d x$
26699	Evaluate the Integral	integral from 1 to 2 of ysin(xy) with respect to x	$\int_{1}^{2} y \sin (x y) d x$
26700	Find the Derivative - d/d@VAR	f(x)=(x^2-1)^2	$f (x) = {(x^{2} - 1)}^{2}$