Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8801	Evaluate the Integral	integral of -2e^(-2x) with respect to x	$\int - 2 e^{- 2 x} d x$
8802	Evaluate the Integral	integral of 2e^(3x) with respect to x	$\int 2 e^{3 x} d x$
8803	Evaluate the Integral	integral from 2 to 5 of 2x with respect to x	$\int_{2}^{5} 2 x d x$
8804	Evaluate the Integral	integral from 2 to 5 of 1/(x^2) with respect to x	$\int_{2}^{5} \frac{1}{x^{2}} d x$
8805	Evaluate the Integral	integral from 2 to 5 of x with respect to x	$\int_{2}^{5} x d x$
8806	Evaluate the Integral	integral from 2 to 6 of 7/x with respect to x	$\int_{2}^{6} \frac{7}{x} d x$
8807	Evaluate the Integral	integral from 2 to 7 of 6 with respect to x	$\int_{2}^{7} 6 d x$
8808	Evaluate the Integral	integral from -3 to -1 of 2x(5-x^2)^3 with respect to x	$\int_{- 3}^{- 1} 2 x {(5 - x^{2})}^{3} d x$
8809	Evaluate the Integral	integral from -3 to -2 of 2e^(-0.1y)+3/y with respect to y	$\int_{- 3}^{- 2} 2 e^{- 0.1 y} + \frac{3}{y} d y$
8810	Evaluate the Integral	integral of 2ydx with respect to x	$\int 2 yds x d x$
8811	Evaluate the Integral	integral from -3 to -1/2 of -1/x with respect to x	$\int_{- 3}^{- \frac{1}{2}} - \frac{1}{x} d x$
8812	Evaluate the Integral	integral from -3 to 0 of 1+ square root of 9-x^2 with respect to x	$\int_{- 3}^{0} 1 + \sqrt{9 - x^{2}} d x$
8813	Evaluate the Integral	integral of 2x+4 with respect to x	$\int 2 x + 4 d x$
8814	Evaluate the Integral	integral of 2x square root of 1+x^2 with respect to x	$\int 2 x \sqrt{1 + x^{2}} d x$
8815	Evaluate the Integral	integral of 2sin(x)cos(x) with respect to x	$\int 2 \sin (x) \cos (x) d x$
8816	Evaluate the Integral	integral of 2x(x^2+1) with respect to x	$\int 2 x (x^{2} + 1) d x$
8817	Evaluate the Integral	integral of 21e^(7x-3) with respect to x	$\int 21 e^{7 x - 3} d x$
8818	Evaluate the Integral	integral of 21x^(1/2) with respect to x	$\int 21 x^{\frac{1}{2}} d x$
8819	Evaluate the Integral	integral of 24t^7e^(-t^8) with respect to t	$\int 24 t^{7} e^{- t^{8}} d t$
8820	Evaluate the Integral	integral of 2-3x with respect to x	$\int 2 - 3 x d x$
8821	Evaluate the Integral	integral of 22x with respect to x	$\int 22 x d x$
8822	Evaluate the Integral	integral of 25 with respect to x	$\int 25 d x$
8823	Evaluate the Integral	integral of 7e^(-0.4x) with respect to x	$\int 7 e^{- 0.4 x} d x$
8824	Evaluate the Integral	integral of 7e^(-6x) with respect to x	$\int 7 e^{- 6 x} d x$
8825	Evaluate the Integral	integral of 7e^x with respect to x	$\int 7 e^{x} d x$
8826	Evaluate the Integral	integral of 7sin(x)^2cos(x)^3 with respect to x	$\int 7 \sin^{2} (x) \cos^{3} (x) d x$
8827	Evaluate the Integral	integral of 7xe^(2x) with respect to x	$\int 7 x e^{2 x} d x$
8828	Evaluate the Integral	integral of 7cos( square root of x) with respect to x	$\int 7 \cos (\sqrt{x}) d x$
8829	Evaluate the Integral	integral of 7t with respect to t	$\int 7 t d t$
8830	Evaluate the Integral	integral of 6sin(x) with respect to x	$\int 6 \sin (x) d x$
8831	Evaluate the Integral	integral of 6e^t with respect to t	$\int 6 e^{t} d t$
8832	Evaluate the Integral	integral of 6 square root of y with respect to y	$\int 6 \sqrt{y} d y$
8833	Evaluate the Integral	integral of 6xe^(-x) with respect to x	$\int 6 x e^{- x} d x$
8834	Evaluate the Integral	integral of 6x^2-4x with respect to x	$\int 6 x^{2} - 4 x d x$
8835	Evaluate the Integral	integral from -8 to -1 of (x-x^2)/(2 cube root of x) with respect to x	$\int_{- 8}^{- 1} \frac{x - x^{2}}{2 \sqrt[3]{x}} d x$
8836	Evaluate the Integral	integral from -8 to 0 of xe^(-4x) with respect to x	$\int_{- 8}^{0} x e^{- 4 x} d x$
8837	Evaluate the Integral	integral of 8x^(1/3) with respect to x	$\int 8 x^{\frac{1}{3}} d x$
8838	Evaluate the Integral	integral of -8x^-1 with respect to x	$\int - 8 x^{- 1} d x$
8839	Evaluate the Integral	integral of 8x^3-2x^-1+ square root of x with respect to x	$\int 8 x^{3} - 2 x^{- 1} + \sqrt{x} d x$
8840	Evaluate the Integral	integral of 7xe^(4x) with respect to x	$\int 7 x e^{4 x} d x$
8841	Evaluate the Integral	integral of 8xe^(5x) with respect to x	$\int 8 x e^{5 x} d x$
8842	Evaluate the Integral	integral of 8e^x with respect to x	$\int 8 e^{x} d x$
8843	Evaluate the Integral	integral of 8e^(7x) with respect to x	$\int 8 e^{7 x} d x$
8844	Evaluate the Integral	integral of 8 with respect to t	$\int 8 d t$
8845	Evaluate the Integral	integral of 9x^(-4/5) with respect to x	$\int 9 x^{- \frac{4}{5}} d x$
8846	Evaluate the Integral	integral of 9x^8 with respect to x	$\int 9 x^{8} d x$
8847	Evaluate the Integral	integral of 9sin(x)^2cos(x)^2 with respect to x	$\int 9 \sin^{2} (x) \cos^{2} (x) d x$
8848	Evaluate the Integral	integral of 9e^(0.2x) with respect to x	$\int 9 e^{0.2 x} d x$
8849	Evaluate the Integral	integral of 9e^(9x) with respect to x	$\int 9 e^{9 x} d x$
8850	Evaluate the Integral	integral of 9e^x with respect to x	$\int 9 e^{x} d x$
8851	Evaluate the Integral	integral of 8x-9 with respect to x	$\int 8 x - 9 d x$
8852	Evaluate the Integral	integral of 8x natural log of 2x with respect to x	$\int 8 x \ln (2 x) d x$
8853	Evaluate the Integral	integral of 8csc(y)(cot(y)-csc(y)) with respect to y	$\int 8 \csc (y) (\cot (y) - \csc (y)) d y$
8854	Evaluate the Integral	integral of 8xe^(9x) with respect to x	$\int 8 x e^{9 x} d x$
8855	Evaluate the Integral	integral of 8sin(8x) with respect to x	$\int 8 \sin (8 x) d x$
8856	Evaluate the Integral	integral of 8cos(x) with respect to x	$\int 8 \cos (x) d x$
8857	Evaluate the Integral	integral of 56t^(1/2)+18t^(7/2) with respect to t	$\int 56 t^{\frac{1}{2}} + 18 t^{\frac{7}{2}} d t$
8858	Evaluate the Integral	integral of 5cos(2x) with respect to x	$\int 5 \cos (2 x) d x$
8859	Evaluate the Integral	integral of 5cos(3x) square root of sin(3x+4) with respect to x	$\int 5 \cos (3 x) \sqrt{\sin (3 x + 4)} d x$
8860	Evaluate the Integral	integral of 5cos(t) with respect to t	$\int 5 \cos (t) d t$
8861	Evaluate the Integral	integral of 5xcos(6x) with respect to x	$\int 5 x \cos (6 x) d x$
8862	Evaluate the Integral	integral of 5x^(3/2) with respect to x	$\int 5 x^{\frac{3}{2}} d x$
8863	Evaluate the Integral	integral of 5xe^(-4x) with respect to x	$\int 5 x e^{- 4 x} d x$
8864	Evaluate the Integral	integral of 5e^(5t+2) with respect to t	$\int 5 e^{5 t + 2} d t$
8865	Evaluate the Integral	integral of 5 fourth root of x with respect to x	$\int 5 \sqrt[4]{x} d x$
8866	Evaluate the Integral	integral of 5e^(4x) with respect to x	$\int 5 e^{4 x} d x$
8867	Evaluate the Integral	integral from 0 to 2 of (2-t) square root of t with respect to t	$\int_{0}^{2} (2 - t) \sqrt{t} d t$
8868	Evaluate the Integral	integral of 4csc(x)^2 with respect to x	$\int 4 \csc^{2} (x) d x$
8869	Evaluate the Integral	integral of -4 with respect to x	$\int - 4 d x$
8870	Evaluate the Integral	integral of 4e^t with respect to t	$\int 4 e^{t} d t$
8871	Evaluate the Integral	integral of 4cos(x)^2 with respect to x	$\int 4 \cos^{2} (x) d x$
8872	Evaluate the Integral	integral of 4cos(x)^3 with respect to x	$\int 4 \cos^{3} (x) d x$
8873	Evaluate the Integral	integral of 4e^(-0.1x) with respect to x	$\int 4 e^{- 0.1 x} d x$
8874	Evaluate the Integral	integral from 4 to 4 of x^3 with respect to x	$\int_{4}^{4} x^{3} d x$
8875	Evaluate the Integral	integral of e^(-y^2) with respect to y	$\int e^{- y^{2}} d y$
8876	Evaluate the Integral	integral from 4 to 7 of square root of 4t^2+4t+1 with respect to t	$\int_{4}^{7} \sqrt{4 t^{2} + 4 t + 1} d t$
8877	Evaluate the Integral	integral of 4cos(6x) with respect to x	$\int 4 \cos (6 x) d x$
8878	Evaluate the Integral	integral of 4cos(x) with respect to x	$\int 4 \cos (x) d x$
8879	Evaluate the Integral	integral of 4arccos(x) with respect to x	$\int 4 \arccos (x) d x$
8880	Evaluate the Integral	integral of 4xe^(-x) with respect to x	$\int 4 x e^{- x} d x$
8881	Evaluate the Integral	integral of 45e^(0.27465t) with respect to t	$\int 45 e^{0.27465 t} d t$
8882	Evaluate the Integral	integral of 4xe^(5x) with respect to x	$\int 4 x e^{5 x} d x$
8883	Evaluate the Integral	integral of 4xe^(7x) with respect to x	$\int 4 x e^{7 x} d x$
8884	Evaluate the Integral	integral of -4x with respect to x	$\int - 4 x d x$
8885	Evaluate the Integral	integral of 4xe^(3x) with respect to x	$\int 4 x e^{3 x} d x$
8886	Evaluate the Integral	integral of -40t^(2/3) with respect to t	$\int - 40 t^{\frac{2}{3}} d t$
8887	Evaluate the Integral	integral of 1/(y^2-y) with respect to y	$\int \frac{1}{y^{2} - y} d y$
8888	Evaluate	e^( natural log of natural log of e^3)	$e^{\ln (\ln (e^{3}))}$
8889	Solve for x	log base b of x+3+ log base b of x = log base b of 54	$\log_{b} (x + 3) + \log_{b} (x) = \log_{b} (54)$
8890	Find the Derivative - d/d@VAR	f(x) = square root of 4-x	$f (x) = \sqrt{4 - x}$
8891	Find the Derivative - d/dt	( cube root of t)/(t-9)	$\frac{\sqrt[3]{t}}{t - 9}$
8892	Graph	arctan(e^x)	$\arctan (e^{x})$
8893	Evaluate the Integral	integral of (e^(1/x))/(x^3) with respect to x	$\int \frac{e^{\frac{1}{x}}}{x^{3}} d x$
8894	Evaluate the Integral	integral of (e^x)/(2+e^x) with respect to x	$\int \frac{e^{x}}{2 + e^{x}} d x$
8895	Evaluate the Integral	integral of (t^5)/( cube root of 1+t^6) with respect to t	$\int \frac{t^{5}}{\sqrt[3]{1 + t^{6}}} d t$
8896	Find the Derivative - d/dx	(qx+r)/(sx+t)	$\frac{q x + r}{s x + t}$
8897	Evaluate the Integral	integral of (cos(x))e^(sin(x)) with respect to x	$\int (\cos (x)) e^{\sin (x)} d x$
8898	Evaluate the Integral	integral of (x^2+x)^10(2x+1) with respect to x	$\int {(x^{2} + x)}^{10} (2 x + 1) d x$
8899	Evaluate the Integral	integral of 3x^2- square root of 5x+2 with respect to x	$\int 3 x^{2} - \sqrt{5 x} + 2 d x$
8900	Evaluate the Integral	integral of (x^2-1)e^x with respect to x	$\int (x^{2} - 1) e^{x} d x$