Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27801	Evaluate the Integral	integral of e^(7x^2) with respect to x	$\int e^{7 x^{2}} d x$
27802	Evaluate the Integral	integral of e^(-7x) with respect to x	$\int e^{- 7 x} d x$
27803	Evaluate the Integral	integral of e^(6x)+e^(-5x) with respect to x	$\int e^{6 x} + e^{- 5 x} d x$
27804	Evaluate the Integral	integral of e^(6t+1) with respect to t	$\int e^{6 t + 1} d t$
27805	Evaluate the Integral	integral of e^(5x+3) with respect to x	$\int e^{5 x + 3} d x$
27806	Evaluate the Integral	integral of e^(5-6t) with respect to t	$\int e^{5 - 6 t} d t$
27807	Evaluate the Integral	integral of e^x-4 with respect to x	$\int e^{x} - 4 d x$
27808	Evaluate the Integral	integral of e^xsec(e^x-7)^2 with respect to x	$\int e^{x} \sec^{2} (e^{x} - 7) d x$
27809	Evaluate the Integral	integral of e^w-3 with respect to w	$\int e^{w} - 3 d w$
27810	Evaluate the Integral	integral of e^(tan(3x))sec(3x)^2 with respect to x	$\int e^{\tan (3 x)} \sec^{2} (3 x) d x$
27811	Evaluate the Integral	integral of e^(-st)t with respect to t	$\int e^{- s t} t d t$
27812	Evaluate the Integral	integral of e^( natural log of y+y)-e^y with respect to y	$\int e^{\ln (y) + y} - e^{y} d y$
27813	Evaluate the Integral	integral of e^(cot(x))csc(x)^2 with respect to x	$\int e^{\cot (x)} \csc^{2} (x) d x$
27814	Evaluate the Integral	integral of e^(9x)sec(e^(9x)) with respect to x	$\int e^{9 x} \sec (e^{9 x}) d x$
27815	Evaluate the Integral	integral of e^(9x-8) with respect to x	$\int e^{9 x - 8} d x$
27816	Evaluate the Integral	integral of e^(ax+b) with respect to x	$\int e^{a x + b} d x$
27817	Evaluate the Integral	integral of e^(-cos(x))sin(x) with respect to x	$\int e^{- \cos (x)} \sin (x) d x$
27818	Evaluate the Integral	integral of e^(ax) with respect to x	$\int e^{a x} d x$
27819	Evaluate the Integral	integral from pi/2 to pi of cos(x) with respect to x	$\int_{\frac{π}{2}}^{π} \cos (x) d x$
27820	Evaluate the Integral	integral from -pi/2 to pi/6 of cos(2x)-sin(x) with respect to x	$\int_{- \frac{π}{2}}^{\frac{π}{6}} \cos (2 x) - \sin (x) d x$
27821	Evaluate the Integral	integral from pi/2 to pi of (x)-(sin(x)) with respect to x	$\int_{\frac{π}{2}}^{π} (x) - (\sin (x)) d x$
27822	Evaluate the Integral	integral from pi/2 to pi of x-sin(x) with respect to x	$\int_{\frac{π}{2}}^{π} x - \sin (x) d x$
27823	Evaluate the Integral	integral from pi/3 to pi/2 of x+cos(x) with respect to x	$\int_{\frac{π}{3}}^{\frac{π}{2}} x + \cos (x) d x$
27824	Evaluate the Integral	integral from -pi/3 to pi/3 of 4pi(1-cos(x)) with respect to x	$\int_{- \frac{π}{3}}^{\frac{π}{3}} 4 π (1 - \cos (x)) d x$
27825	Evaluate the Integral	integral from -pi/3 to pi/3 of 4sec(x)tan(x) with respect to x	$\int_{- \frac{π}{3}}^{\frac{π}{3}} 4 \sec (x) \tan (x) d x$
27826	Evaluate the Integral	integral from pi/3 to pi/2 of csc(x)cot(x) with respect to x	$\int_{\frac{π}{3}}^{\frac{π}{2}} \csc (x) \cot (x) d x$
27827	Evaluate the Integral	integral from pi/2 to (5pi)/4 of cos(x) with respect to x	$\int_{\frac{π}{2}}^{\frac{5 π}{4}} \cos (x) d x$
27828	Evaluate the Integral	integral from -pi/2 to pi/2 of -sin(x) with respect to x	$\int_{- \frac{π}{2}}^{\frac{π}{2}} - \sin (x) d x$
27829	Evaluate the Integral	integral from -pi/2 to pi/2 of cos(x) with respect to x	$\int_{- \frac{π}{2}}^{\frac{π}{2}} \cos (x) d x$
27830	Evaluate the Integral	integral from -pi/2 to pi/2 of -cos(x) with respect to x	$\int_{- \frac{π}{2}}^{\frac{π}{2}} - \cos (x) d x$
27831	Evaluate the Integral	integral from pi/2 to 0 of (1+cos(2t))/2 with respect to t	$\int_{\frac{π}{2}}^{0} \frac{1 + \cos (2 t)}{2} d t$
27832	Evaluate the Integral	integral of ( natural log of x)/(x^10) with respect to x	$\int \frac{\ln (x)}{x^{10}} d x$
27833	Evaluate the Integral	integral of ( natural log of x^6)/(7x) with respect to x	$\int \frac{\ln (x^{6})}{7 x} d x$
27834	Evaluate the Integral	integral of ( natural log of 2x)/(x^2) with respect to x	$\int \frac{\ln (2 x)}{x^{2}} d x$
27835	Evaluate the Integral	integral of ( natural log of 3x)/x with respect to x	$\int \frac{\ln (3 x)}{x} d x$
27836	Evaluate the Integral	integral from pi/12 to pi/9 of sec(3x)^2 with respect to x	$\int_{\frac{π}{12}}^{\frac{π}{9}} \sec^{2} (3 x) d x$
27837	Evaluate the Integral	integral of e^xcot(e^x) with respect to x	$\int e^{x} \cot (e^{x}) d x$
27838	Evaluate the Integral	integral of ( natural log of square root of x)/( square root of x) with respect to x	$\int \frac{\ln (\sqrt{x})}{\sqrt{x}} d x$
27839	Evaluate the Integral	integral of ( natural log of x^2)/(x^2) with respect to x	$\int \frac{\ln (x^{2})}{x^{2}} d x$
27840	Evaluate the Integral	integral of e^(x natural log of 3) with respect to x	$\int e^{x \ln (3)} d x$
27841	Evaluate the Integral	integral of e^(xt) with respect to t	$\int e^{x t} d t$
27842	Evaluate the Integral	integral of ke^(-kx) with respect to x	$\int k e^{- k x} d x$
27843	Evaluate the Integral	integral of l/(npi)*cos((npix)/l) with respect to x	$\int \frac{l}{n π} \cdot \cos (\frac{n π x}{l}) d x$
27844	Evaluate the Integral	integral of e^(11x)(11) with respect to x	$\int e^{11 x} (11) d x$
27845	Evaluate the Integral	integral of e^(15x)(15) with respect to x	$\int e^{15 x} (15) d x$
27846	Evaluate the Integral	integral of e^(16x)(16) with respect to x	$\int e^{16 x} (16) d x$
27847	Evaluate the Integral	integral of e^(-12x) with respect to x	$\int e^{- 12 x} d x$
27848	Evaluate the Integral	integral of e^(-0.5x^2) with respect to x	$\int e^{- 0.5 x^{2}} d x$
27849	Evaluate the Integral	integral of e^(0.1x) with respect to x	$\int e^{0.1 x} d x$
27850	Evaluate the Integral	integral of e^(15x) with respect to x	$\int e^{15 x} d x$
27851	Evaluate the Integral	integral of e^(2x)cos(2x) with respect to x	$\int e^{2 x} \cos (2 x) d x$
27852	Evaluate the Integral	integral of e^(3-8x) with respect to x	$\int e^{3 - 8 x} d x$
27853	Evaluate the Integral	integral of e^(3 natural log of x) with respect to x	$\int e^{3 \ln (x)} d x$
27854	Evaluate the Integral	integral of e^(2x)+e^(-2x) with respect to x	$\int e^{2 x} + e^{- 2 x} d x$
27855	Evaluate the Integral	integral of e^(2 natural log of x) with respect to x	$\int e^{2 \ln (x)} d x$
27856	Evaluate the Integral	integral of e^(2x) square root of 1+e^(2x) with respect to x	$\int e^{2 x} \sqrt{1 + e^{2 x}} d x$
27857	Evaluate the Integral	integral of e^(2x)+e^(-7x) with respect to x	$\int e^{2 x} + e^{- 7 x} d x$
27858	Evaluate the Integral	integral of e^(3/2x) with respect to x	$\int e^{\frac{3}{2} x} d x$
27859	Evaluate the Integral	integral of e^(-(x-1)^2) with respect to x	$\int e^{- {(x - 1)}^{2}} d x$
27860	Evaluate the Integral	integral of 1/(y square root of y) with respect to ydy	$\int \frac{1}{y \sqrt{y}} d y d y$
27861	Evaluate the Integral	integral of e^(-0.01x) with respect to x	$\int e^{- 0.01 x} d x$
27862	Evaluate the Integral	integral of e^(-0.03x) with respect to x	$\int e^{- 0.03 x} d x$
27863	Evaluate the Integral	integral of e^(x^2+2) with respect to x	$\int e^{x^{2} + 2} d x$
27864	Evaluate the Integral	integral of e^0.05 with respect to x	$\int e^{0.05} d x$
27865	Evaluate the Integral	integral of e^(0.05x) with respect to x	$\int e^{0.05 x} d x$
27866	Evaluate the Integral	integral of e^( cube root of x) with respect to x	$\int e^{\sqrt[3]{x}} d x$
27867	Evaluate the Integral	integral of e^(x/n) with respect to x	$\int e^{\frac{x}{n}} d x$
27868	Evaluate the Integral	integral of e^(x^(1/2)) with respect to x	$\int e^{x^{\frac{1}{2}}} d x$
27869	Evaluate the Integral	integral of e^(-0.2x) with respect to x	$\int e^{- 0.2 x} d x$
27870	Evaluate the Integral	integral of cos(y)^2 with respect to y	$\int \cos^{2} (y) d y$
27871	Evaluate the Integral	- integral of cos(y)^2 with respect to y	$- \int \cos^{2} (y) d y$
27872	Evaluate the Integral	integral of cos(5x)^3 with respect to x	$\int \cos^{3} (5 x) d x$
27873	Evaluate the Integral	integral of cos(x)^3sin(x)^3 with respect to x	$\int \cos^{3} (x) \sin^{3} (x) d x$
27874	Evaluate the Integral	integral of cos(11x)^5 with respect to x	$\int \cos^{5} (11 x) d x$
27875	Evaluate the Integral	integral of cot(3x)^2 with respect to x	$\int \cot^{2} (3 x) d x$
27876	Evaluate the Integral	integral of arccot(5y) with respect to y	$\int arccot (5 y) d y$
27877	Evaluate the Integral	integral of cot(x)^3csc(x)^3 with respect to x	$\int \cot^{3} (x) \csc^{3} (x) d x$
27878	Evaluate the Integral	integral of (csc(x)cos(x))/(sin(x)) with respect to x	$\int \frac{\csc (x) \cos (x)}{\sin (x)} d x$
27879	Evaluate the Integral	integral of (csc(x))/(sin(x)) with respect to x	$\int \frac{\csc (x)}{\sin (x)} d x$
27880	Evaluate the Integral	integral of csc(3x)^2cot(3x) with respect to x	$\int \csc^{2} (3 x) \cot (3 x) d x$
27881	Evaluate the Integral	integral of csc(3x-1)^2 with respect to x	$\int \csc^{2} (3 x - 1) d x$
27882	Evaluate the Integral	integral of csc(x/4)^4 with respect to x	$\int \csc^{4} (\frac{x}{4}) d x$
27883	Evaluate the Integral	integral of csc(3x)^4 with respect to x	$\int \csc^{4} (3 x) d x$
27884	Evaluate the Integral	integral of csc(x)^6cot(x) with respect to x	$\int \csc^{6} (x) \cot (x) d x$
27885	Evaluate the Integral	integral of 1/( cube root of x^2) with respect to xdx	$\int \frac{1}{\sqrt[3]{x^{2}}} d x d x$
27886	Evaluate the Integral	integral of 1/(x^13) with respect to xdx	$\int \frac{1}{x^{13}} d x d x$
27887	Evaluate the Integral	integral of 1/( square root of 25-x^2) with respect to xdx	$\int \frac{1}{\sqrt{25 - x^{2}}} d x d x$
27888	Evaluate the Integral	integral of 1/(m^3+m^2) with respect to mdm	$\int \frac{1}{m^{3} + m^{2}} d m d m$
27889	Evaluate the Integral	integral of 1/u with respect to udx	$\int \frac{1}{u} d u d x$
27890	Evaluate the Integral	integral of 1/(1-3x) with respect to xdx	$\int \frac{1}{1 - 3 x} d x d x$
27891	Evaluate the Integral	integral of 1/(12-e^x) with respect to xdx	$\int \frac{1}{12 - e^{x}} d x d x$
27892	Evaluate the Integral	integral of 1/(2x-3) with respect to xdx	$\int \frac{1}{2 x - 3} d x d x$
27893	Evaluate the Integral	integral of 1/(4x^3) with respect to xdx	$\int \frac{1}{4 x^{3}} d x d x$
27894	Evaluate the Integral	integral of (tan( square root of x))/( square root of x) with respect to x	$\int \frac{\tan (\sqrt{x})}{\sqrt{x}} d x$
27895	Evaluate the Integral	integral of (tan(3x))/(cos(3x)^2) with respect to x	$\int \frac{\tan (3 x)}{\cos^{2} (3 x)} d x$
27896	Evaluate the Integral	integral of t^2 with respect to t	$\int t^{2} d t$
27897	Evaluate the Integral	integral of t^3+e^(3t) with respect to t	$\int t^{3} + e^{3 t} d t$
27898	Evaluate the Integral	integral of t^5-4e^(-10t) with respect to t	$\int t^{5} - 4 e^{- 10 t} d t$
27899	Evaluate the Integral	integral of (t+1)/t with respect to t	$\int \frac{t + 1}{t} d t$
27900	Evaluate the Integral	integral of t^3e^t with respect to t	$\int t^{3} e^{t} d t$