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Popular Calculus Problems

integral of 10cos(x)	\int\:10\cos(x)dx
integral of 1/((x+6)(36x^2+6x+1))	\int\:\frac{1}{(x+6)(36x^{2}+6x+1)}dx
integral of (8x^3-12x^2+4/x)	\int\:(8x^{3}-12x^{2}+\frac{4}{x})dx
integral of x(1+x^2)^3	\int\:x(1+x^{2})^{3}dx
integral of x^8e^{x^3}	\int\:x^{8}e^{x^{3}}dx
integral of (4x-11)/(sqrt(x^2-4x-5))	\int\:\frac{4x-11}{\sqrt{x^{2}-4x-5}}dx
integral of sqrt(8-2x)	\int\:\sqrt{8-2x}dx
integral of 3^{x^2}	\int\:3^{x^{2}}dx
integral of 3x+3/5	\int\:3x+\frac{3}{5}dx
integral of (x+1)/(x^2-4x)	\int\:\frac{x+1}{x^{2}-4x}dx
integral of 12sec(2x)tan(2x)	\int\:12\sec(2x)\tan(2x)dx
integral of ln^2(x^{20})	\int\:\ln^{2}(x^{20})dx
integral of csc(1-5x)	\int\:\csc(1-5x)dx
integral of (cos(3sqrt(x)))/(sqrt(x))	\int\:\frac{\cos(3\sqrt{x})}{\sqrt{x}}dx
integral of (x^3)/((1+x^2))	\int\:\frac{x^{3}}{(1+x^{2})}dx
integral of (x^2)/((1+x^3)^3)	\int\:\frac{x^{2}}{(1+x^{3})^{3}}dx
integral of 1/(x^3sqrt(x^2+1))	\int\:\frac{1}{x^{3}\sqrt{x^{2}+1}}dx
integral of (3x^3+1)/(x^3-x^2+x-1)	\int\:\frac{3x^{3}+1}{x^{3}-x^{2}+x-1}dx
integral of 1/(cos(x)sqrt(sin(x)))	\int\:\frac{1}{\cos(x)\sqrt{\sin(x)}}dx
integral of 1/(16x^2+1)	\int\:\frac{1}{16x^{2}+1}dx
integral of (5x-3)	\int\:(5x-3)dx
integral of (2x^2-8x-8)/((x-2)(x^2+4))	\int\:\frac{2x^{2}-8x-8}{(x-2)(x^{2}+4)}dx
integral of (7^{2/3}-x^{2/3})^3	\int\:(7^{\frac{2}{3}}-x^{\frac{2}{3}})^{3}dx
integral of 3cos^5(2x)	\int\:3\cos^{5}(2x)dx
integral of (ln(x^3))/(x^2)	\int\:\frac{\ln(x^{3})}{x^{2}}dx
integral of sin(3x-1)	\int\:\sin(3x-1)dx
integral of (sqrt(1+x))/(1+sqrt(1+x))	\int\:\frac{\sqrt{1+x}}{1+\sqrt{1+x}}dx
integral of (1/((x-2)(x-1)^2))	\int\:(\frac{1}{(x-2)(x-1)^{2}})dx
integral of (x-8)/(x^3-4x^2+4x)	\int\:\frac{x-8}{x^{3}-4x^{2}+4x}dx
integral of tan^5(x)sec^5(x)	\int\:\tan^{5}(x)\sec^{5}(x)dx
integral of (cos(8sqrt(x)))/(sqrt(x))	\int\:\frac{\cos(8\sqrt{x})}{\sqrt{x}}dx
integral of e^{9x}sin(e^{9x})	\int\:e^{9x}\sin(e^{9x})dx
integral of 12cos(4θ)	\int\:12\cos(4θ)dθ
integral of 1/(sqrt(y)+\sqrt[3]{y)}	\int\:\frac{1}{\sqrt{y}+\sqrt[3]{y}}dy
integral of e^{6x}sin(e^{6x})	\int\:e^{6x}\sin(e^{6x})dx
integral of sec^2(4x)tan^2(4x)	\int\:\sec^{2}(4x)\tan^{2}(4x)dx
integral of 1/(x^3sqrt(x))	\int\:\frac{1}{x^{3}\sqrt{x}}dx
integral of (x+7)/(sqrt(6-x))	\int\:\frac{x+7}{\sqrt{6-x}}dx
integral of 7-2x	\int\:7-2xdx
integral of-0.1x+40	\int\:-0.1x+40dx
integral of (cos(5sqrt(t)))/(sqrt(t))	\int\:\frac{\cos(5\sqrt{t})}{\sqrt{t}}dt
integral of (sqrt(x))/(e^{sqrt(x))}	\int\:\frac{\sqrt{x}}{e^{\sqrt{x}}}dx
integral of (3cos(x))/(sqrt(1+3sin(x)))	\int\:\frac{3\cos(x)}{\sqrt{1+3\sin(x)}}dx
integral of (5x)/(x^4+1)	\int\:\frac{5x}{x^{4}+1}dx
integral of 1/(cos^2(x)sin(x))	\int\:\frac{1}{\cos^{2}(x)\sin(x)}dx
integral of 1/(x(x^2-x+1))	\int\:\frac{1}{x(x^{2}-x+1)}dx
integral of ((2+x)/x)^2	\int\:(\frac{2+x}{x})^{2}dx
integral of (x^3+3x^2+9)/(x+2)	\int\:\frac{x^{3}+3x^{2}+9}{x+2}dx
integral of (1+e^x)/(e^x)	\int\:\frac{1+e^{x}}{e^{x}}dx
integral of x^5-3x^2+x^2	\int\:x^{5}-3x^{2}+x^{2}dx
integral of (x^2-5x+3)/(x^3-4x^2+3x)	\int\:\frac{x^{2}-5x+3}{x^{3}-4x^{2}+3x}dx
integral of (2x^3-x^2)/(x^3)	\int\:\frac{2x^{3}-x^{2}}{x^{3}}dx
integral of (x^2)/((1+x^2)^{3/2)}	\int\:\frac{x^{2}}{(1+x^{2})^{\frac{3}{2}}}dx
integral of (x+1)cos(x^2+2x)	\int\:(x+1)\cos(x^{2}+2x)dx
integral of (8x^3)/(sqrt(4x^2+9))	\int\:\frac{8x^{3}}{\sqrt{4x^{2}+9}}dx
integral of ((x+3)^2)/(x^2)	\int\:\frac{(x+3)^{2}}{x^{2}}dx
integral of (x^2-x)^2	\int\:(x^{2}-x)^{2}dx
integral of tan(x+1)	\int\:\tan(x+1)dx
integral of 2xe^{x^2+1}	\int\:2xe^{x^{2}+1}dx
integral of cos(x)sqrt(sin(x)+1)	\int\:\cos(x)\sqrt{\sin(x)+1}dx
integral of (e^{1/(x^2)}+2x+ln(x))/(x^3)	\int\:\frac{e^{\frac{1}{x^{2}}}+2x+\ln(x)}{x^{3}}dx
integral of 1/(cos(x)+2)	\int\:\frac{1}{\cos(x)+2}dx
integral of 3/((1-2x)^2)	\int\:\frac{3}{(1-2x)^{2}}dx
integral of (1/4 x^3+3x^2-3/4 x+4)	\int\:(\frac{1}{4}x^{3}+3x^{2}-\frac{3}{4}x+4)dx
integral of e^{8x}sin(e^{8x})	\int\:e^{8x}\sin(e^{8x})dx
integral of (7x)/(x^4+1)	\int\:\frac{7x}{x^{4}+1}dx
integral of (e^{3x})/(e^x-1)	\int\:\frac{e^{3x}}{e^{x}-1}dx
integral of 1/(ln(x))	integral\:\frac{1}{\ln(x)}
integral of xln(8x)	\int\:x\ln(8x)dx
integral of e^{4x}sin(e^{4x})	\int\:e^{4x}\sin(e^{4x})dx
integral of 1/(x-sqrt(1-x^2))	\int\:\frac{1}{x-\sqrt{1-x^{2}}}dx
integral of qe^q+q	\int\:qe^{q}+qdq
integral of (5x-7)/(x^2-3x+2)	\int\:\frac{5x-7}{x^{2}-3x+2}dx
integral of 1/(1+2sin^2(x))	\int\:\frac{1}{1+2\sin^{2}(x)}dx
integral of sqrt(1/t-1) 1/(t^2)	\int\:\sqrt{\frac{1}{t}-1}\frac{1}{t^{2}}dt
integral of 6x^3(-3x^4+3)^6	\int\:6x^{3}(-3x^{4}+3)^{6}dx
integral of (x^5)/(1+x^6)	\int\:\frac{x^{5}}{1+x^{6}}dx
integral of 1/(sqrt(x+x^2))	\int\:\frac{1}{\sqrt{x+x^{2}}}dx
integral of-(sin(x))	\int\:-(\sin(x))dx
integral of 1/(x^2)sin(5/x)cos(5/x)	\int\:\frac{1}{x^{2}}\sin(\frac{5}{x})\cos(\frac{5}{x})dx
integral of (x+1)/(e^{2x)}	\int\:\frac{x+1}{e^{2x}}dx
integral of (cos(x))/(sin^3(x)+sin(x))	\int\:\frac{\cos(x)}{\sin^{3}(x)+\sin(x)}dx
integral of (x^2-1)/(2x^2-32)	\int\:\frac{x^{2}-1}{2x^{2}-32}dx
integral of (x^2+7)/(x^2+9)	\int\:\frac{x^{2}+7}{x^{2}+9}dx
integral of (2x^2-x)cos(4x)	\int\:(2x^{2}-x)\cos(4x)dx
integral of (1-2x^2)e^{-x^2}	\int\:(1-2x^{2})e^{-x^{2}}dx
integral of (6x+3)e^{-2x}	\int\:(6x+3)e^{-2x}dx
integral of e^{cos(3x)}sin(3x)	\int\:e^{\cos(3x)}\sin(3x)dx
integral of 1/((1-x)sqrt(1-x^2))	\int\:\frac{1}{(1-x)\sqrt{1-x^{2}}}dx
integral of sqrt(y^2-49)	\int\:\sqrt{y^{2}-49}dy
integral of ((1+x)^2)/(x(1+x^2))	\int\:\frac{(1+x)^{2}}{x(1+x^{2})}dx
integral of e^{-x}sin(x/2)	\int\:e^{-x}\sin(\frac{x}{2})dx
integral of (e^x)/(e^x-e^{-x)}	\int\:\frac{e^{x}}{e^{x}-e^{-x}}dx
integral of (sqrt(x)+1/(x^3)-3e^{3x})	\int\:(\sqrt{x}+\frac{1}{x^{3}}-3e^{3x})dx
integral of 1/((xsqrt(x^2-1)))	\int\:\frac{1}{(x\sqrt{x^{2}-1})}dx
integral of (5-4x)cos(6-5x)	\int\:(5-4x)\cos(6-5x)dx
integral of 7x^2e^{x^3}	\int\:7x^{2}e^{x^{3}}dx
integral of xe^{ax^2}	\int\:xe^{ax^{2}}dx
integral of 2xsin(x)+x^2cos(x)	\int\:2x\sin(x)+x^{2}\cos(x)dx
integral of (ln(x))/(x+4xln^2(x))	\int\:\frac{\ln(x)}{x+4x\ln^{2}(x)}dx

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