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Popular Calculus Problems

integral of (x^3)/(x^8-4)	\int\:\frac{x^{3}}{x^{8}-4}dx
integral of (2x+3)/((x-2)(x+5))	\int\:\frac{2x+3}{(x-2)(x+5)}dx
integral of (sqrt(x)+x)^2	\int\:(\sqrt{x}+x)^{2}dx
integral of (7+3x^{3/2})/(sqrt(x))	\int\:\frac{7+3x^{\frac{3}{2}}}{\sqrt{x}}dx
integral of e^{cos(5x)}sin(5x)	\int\:e^{\cos(5x)}\sin(5x)dx
integral of ((x-3))/(sqrt(4x-x^2))	\int\:\frac{(x-3)}{\sqrt{4x-x^{2}}}dx
integral of sqrt(e^{3y)}	\int\:\sqrt{e^{3y}}dy
integral of y^2\sqrt[3]{y}	\int\:y^{2}\sqrt[3]{y}dy
integral of cos^{14}(x)sin(x)	\int\:\cos^{14}(x)\sin(x)dx
integral of (e^x+2e^{2x})/(e^x-1)	\int\:\frac{e^{x}+2e^{2x}}{e^{x}-1}dx
integral of (2x^3-3x)/(4x)	\int\:\frac{2x^{3}-3x}{4x}dx
integral of-6x^3e^{x^4}	\int\:-6x^{3}e^{x^{4}}dx
integral of xsqrt(3x^2+7)	\int\:x\sqrt{3x^{2}+7}dx
integral of-1x^4e^{x^5}	\int\:-1x^{4}e^{x^{5}}dx
integral of (3-5x)^3	\int\:(3-5x)^{3}dx
integral of 1/((cos(x))^4)	\int\:\frac{1}{(\cos(x))^{4}}dx
integral of ((1+2arctan(x))^3)/(1+x^2)	\int\:\frac{(1+2\arctan(x))^{3}}{1+x^{2}}dx
integral of x^2+1/(4x^2)	\int\:x^{2}+\frac{1}{4x^{2}}dx
integral of 4sin^2(t)	\int\:4\sin^{2}(t)dt
integral of (7x+1)/(x^3+6x^2+12x+8)	\int\:\frac{7x+1}{x^{3}+6x^{2}+12x+8}dx
integral of 3^{2/3}	\int\:3^{\frac{2}{3}}dx
integral of 5/(2sqrt(3x-x^2))	\int\:\frac{5}{2\sqrt{3x-x^{2}}}dx
integral of-2744-x^3	\int\:-2744-x^{3}dx
integral of (x^4)/(x+2)	\int\:\frac{x^{4}}{x+2}dx
integral of 4tsin(2t)	\int\:4t\sin(2t)dt
integral of sec^2(x)e^{4tan(x)}	\int\:\sec^{2}(x)e^{4\tan(x)}dx
integral of (x^2-x^3)/(2sqrt(x))	\int\:\frac{x^{2}-x^{3}}{2\sqrt{x}}dx
integral of (sin(Inx))/x	\int\:\frac{\sin(Inx)}{x}dx
integral of x/(x^4+4x^2+8)	\int\:\frac{x}{x^{4}+4x^{2}+8}dx
integral of x^2e^{x^2}x	\int\:x^{2}\cdot\:e^{x^{2}}\cdot\:xdx
integral of (2x+1)/(x^3-3x^2+2x)	\int\:\frac{2x+1}{x^{3}-3x^{2}+2x}dx
integral of 1/(4-5sin(x))	\int\:\frac{1}{4-5\sin(x)}dx
integral of (xarctan(x))	\int\:(x\arctan(x))dx
integral of (5x+3)/((x+2)^2(x-1)^2)	\int\:\frac{5x+3}{(x+2)^{2}(x-1)^{2}}dx
integral of (x^6)/(1+x^{14)}	\int\:\frac{x^{6}}{1+x^{14}}dx
integral of xsqrt(3x+4)	\int\:x\sqrt{3x+4}dx
integral of 1/(y^2sqrt(a^2-y^2))	\int\:\frac{1}{y^{2}\sqrt{a^{2}-y^{2}}}dy
integral of e^{12-(w/2)}	\int\:e^{12-(\frac{w}{2})}dw
integral of xtan(x^2+a)	\int\:x\tan(x^{2}+a)dx
integral of sec^2(2x)tan(2x)	\int\:\sec^{2}(2x)\tan(2x)dx
integral of n(1-x)^{n-1}	\int\:n(1-x)^{n-1}dx
integral of-5x^2e^{x^3}	\int\:-5x^{2}e^{x^{3}}dx
integral of sec(6x+4)tan(6x+4)	\int\:\sec(6x+4)\tan(6x+4)dx
integral of (-1)/(e^x+1)	\int\:\frac{-1}{e^{x}+1}dx
integral of 60(1+x^2)(7+15x+5x^3)^{10}	\int\:60(1+x^{2})(7+15x+5x^{3})^{10}dx
integral of 1/(1+sqrt(2)x)	\int\:\frac{1}{1+\sqrt{2}x}dx
integral of (e^{3x})/((e^{3x)-2)^6}	\int\:\frac{e^{3x}}{(e^{3x}-2)^{6}}dx
integral of ((7x-1))/((x-1)(x-2)(x-3))	\int\:\frac{(7x-1)}{(x-1)(x-2)(x-3)}dx
integral of ((1+x)/x)	\int\:(\frac{1+x}{x})dx
integral of 2sin^2(x/2)	\int\:2\sin^{2}(\frac{x}{2})dx
integral of 1/(cos(x)-sin(x))	\int\:\frac{1}{\cos(x)-\sin(x)}dx
integral of tan^5(θ)	\int\:\tan^{5}(θ)dθ
integral of Q^2-4Q+10	\int\:Q^{2}-4Q+10dQ
integral of 1/(v+1)	\int\:\frac{1}{v+1}dv
integral of sec(2x+2)tan(2x+2)	\int\:\sec(2x+2)\tan(2x+2)dx
integral of xsqrt(9x+2)	\int\:x\sqrt{9x+2}dx
integral of (x+1)/(sqrt(x)+1)	\int\:\frac{x+1}{\sqrt{x}+1}dx
integral of (sin(2x))/(3+cos^2(x))	\int\:\frac{\sin(2x)}{3+\cos^{2}(x)}dx
integral of x^{(-1/2)}	\int\:x^{(-\frac{1}{2})}dx
integral of 4x	integral\:4x
integral of x^{-32}	\int\:x^{-32}dx
integral of (sqrt(x)-sqrt(2))/(sqrt(2x))	\int\:\frac{\sqrt{x}-\sqrt{2}}{\sqrt{2x}}dx
integral of (3x^2-1)/((x-2)(x^2+3x+1))	\int\:\frac{3x^{2}-1}{(x-2)(x^{2}+3x+1)}dx
integral of cos(\sqrt[3]{x})	\int\:\cos(\sqrt[3]{x})dx
integral of ln(x)x^4	\int\:\ln(x)x^{4}dx
integral of 2e^{x/3+4}+5	\int\:2e^{\frac{x}{3}+4}+5dx
integral of ((x^3+2x-1))/((x-1))	\int\:\frac{(x^{3}+2x-1)}{(x-1)}dx
integral of (x-4)/(sqrt(x+2))	\int\:\frac{x-4}{\sqrt{x+2}}dx
integral of (x+3)e^{2x}	\int\:(x+3)e^{2x}dx
integral of 1/(x^2+sqrt(x))	\int\:\frac{1}{x^{2}+\sqrt{x}}dx
integral of 5^xx^2	\int\:5^{x}x^{2}dx
integral of 2y^3e^{y^2}	\int\:2y^{3}e^{y^{2}}dy
integral of 5/(sqrt(9-4x^2))	\int\:\frac{5}{\sqrt{9-4x^{2}}}dx
integral of ex+2cos(x)-3	\int\:ex+2\cos(x)-3dx
integral of 11.5cos(0.23(t-2.7))	\int\:11.5\cos(0.23(t-2.7))dt
integral of (e^{2t}-1)/(e^t-1)	\int\:\frac{e^{2t}-1}{e^{t}-1}dt
integral of x^2(ln(x^2))	\int\:x^{2}(\ln(x^{2}))dx
integral of tan(1/4)x	\int\:\tan(\frac{1}{4})xdx
integral of (1/(x^{3/2)}-x^{4/5})	\int\:(\frac{1}{x^{\frac{3}{2}}}-x^{\frac{4}{5}})dx
integral of (cos(8sqrt(t)))/(sqrt(t))	\int\:\frac{\cos(8\sqrt{t})}{\sqrt{t}}dt
integral of tag^2x	\int\:tag^{2}xdx
integral of e^{cos(2t)}sin(2t)	\int\:e^{\cos(2t)}\sin(2t)dt
integral of xsqrt((1-x)/(1+x))	\int\:x\sqrt{\frac{1-x}{1+x}}dx
integral of (x-1)/(x^2-x+1)	\int\:\frac{x-1}{x^{2}-x+1}dx
integral of sec^{11}(x)tan(x)	\int\:\sec^{11}(x)\tan(x)dx
integral of-3x^3	\int\:-3x^{3}dx
integral of xcsc^2(3/4 x)	\int\:x\csc^{2}(\frac{3}{4}x)dx
integral of sqrt(4x+7)	\int\:\sqrt{4x+7}dx
integral of (x^5+1)/x	\int\:\frac{x^{5}+1}{x}dx
integral of (x^2-sqrt(x))/x	\int\:\frac{x^{2}-\sqrt{x}}{x}dx
integral of x^{(1/2)}	\int\:x^{(\frac{1}{2})}dx
integral of ((3x^2)/2+4)^2	\int\:(\frac{3x^{2}}{2}+4)^{2}dx
integral of 1/((x^2+6x+13)^2)	\int\:\frac{1}{(x^{2}+6x+13)^{2}}dx
integral of (2+sqrt(x))/x	\int\:\frac{2+\sqrt{x}}{x}dx
integral of (5x+1)^3	\int\:(5x+1)^{3}dx
integral of 4x^5-x^3	\int\:4x^{5}-x^{3}dx
integral of 1/(x^4-2x^3)	\int\:\frac{1}{x^{4}-2x^{3}}dx
integral of 2/(3e^{-5x)-4}	\int\:\frac{2}{3e^{-5x}-4}dx
integral of (x^{-4})	\int\:(x^{-4})dx
integral of x^2(4x^3-2)^3	\int\:x^{2}(4x^{3}-2)^{3}dx

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