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Popular Calculus Problems

integral of (sin(x)+cos(x))/(cos(x))	\int\:\frac{\sin(x)+\cos(x)}{\cos(x)}dx
integral of (x-4)/(x^3-x^2-x-2)	\int\:\frac{x-4}{x^{3}-x^{2}-x-2}dx
integral of 64xsqrt(x^2+4)	\int\:64x\sqrt{x^{2}+4}dx
integral of sqrt(ln(x)) 1/x	\int\:\sqrt{\ln(x)}\frac{1}{x}dx
integral of (15)/((0.5x+1)^2)	\int\:\frac{15}{(0.5x+1)^{2}}dx
integral of (2-3x)^7	\int\:(2-3x)^{7}dx
integral of (7sin(sqrt(x)))/(sqrt(x))	\int\:\frac{7\sin(\sqrt{x})}{\sqrt{x}}dx
integral of cosh(x^2)	\int\:\cosh(x^{2})dx
integral of (5-2x)^{12}	\int\:(5-2x)^{12}dx
integral of 1/(2x^2+5x-3)	\int\:\frac{1}{2x^{2}+5x-3}dx
integral of (3x^2+2x)/(x^3+x^2)	\int\:\frac{3x^{2}+2x}{x^{3}+x^{2}}dx
integral of x/(sqrt(3-2x^2))	\int\:\frac{x}{\sqrt{3-2x^{2}}}dx
integral of x/((sqrt(1-x^2)))	\int\:\frac{x}{(\sqrt{1-x^{2}})}dx
integral of (arccot(sqrt(t)))/(sqrt(t))	\int\:\frac{\arccot(\sqrt{t})}{\sqrt{t}}dt
integral of 4x^4e^{x^5}	\int\:4x^{4}e^{x^{5}}dx
integral of (3x-5)/(sqrt(1-x^2))	\int\:\frac{3x-5}{\sqrt{1-x^{2}}}dx
integral of 5/(1+5x^2)	\int\:\frac{5}{1+5x^{2}}dx
integral of (1+ln^2(x))/x	\int\:\frac{1+\ln^{2}(x)}{x}dx
integral of xcos^2(x/2)	\int\:x\cos^{2}(\frac{x}{2})dx
integral of 1/(sin(x)(2+cos(x)-2sin(x)))	\int\:\frac{1}{\sin(x)(2+\cos(x)-2\sin(x))}dx
integral of (x^2)/(2+2x^2)	\int\:\frac{x^{2}}{2+2x^{2}}dx
integral of x/(x^2-6x+9)	\int\:\frac{x}{x^{2}-6x+9}dx
integral of 2x^2(x^3+8)^5	\int\:2x^{2}(x^{3}+8)^{5}dx
integral of x/((x^2-2x+2)^2)	\int\:\frac{x}{(x^{2}-2x+2)^{2}}dx
integral of (ln(x))/(ln(sqrt(x)))	\int\:\frac{\ln(x)}{\ln(\sqrt{x})}dx
integral of (e^{6x})/(1+e^{6x)}	\int\:\frac{e^{6x}}{1+e^{6x}}dx
integral of ze^{yz}	\int\:ze^{yz}dy
integral of 7/8 x*e^{x/(10)}	\int\:\frac{7}{8}x\cdot\:e^{\frac{x}{10}}dx
integral of 12x^2(4x^3-3)	\int\:12x^{2}(4x^{3}-3)dx
integral of (4x-2)/((x^2-x)ln(x^2-x))	\int\:\frac{4x-2}{(x^{2}-x)\ln(x^{2}-x)}dx
integral of (x+2)/(x^2+2x+2)	\int\:\frac{x+2}{x^{2}+2x+2}dx
integral of (cos(y))/(sin^2(y)+sin(y)-6)	\int\:\frac{\cos(y)}{\sin^{2}(y)+\sin(y)-6}dy
integral of s	integral\:s
integral of cos(x)in(x)	\int\:\cos(x)d\sin(x)dx
integral of sec(x)tan(x)	integral\:\sec(x)\tan(x)
integral of 1/((x^2-x+1))	\int\:\frac{1}{(x^{2}-x+1)}dx
integral of (3x^6-4x)	\int\:(3x^{6}-4x)dx
integral of (6x+13)/(x^2+5x+6)	\int\:\frac{6x+13}{x^{2}+5x+6}dx
integral of cos^3(sqrt(x))	\int\:\cos^{3}(\sqrt{x})dx
integral of (ln(x))/x	integral\:\frac{\ln(x)}{x}
integral of 1/((x-1)(x+1)^2)	\int\:\frac{1}{(x-1)(x+1)^{2}}dx
integral of (x^2)/((x-3)^5)	\int\:\frac{x^{2}}{(x-3)^{5}}dx
integral of x(x^2+1)^{3/2}	\int\:x(x^{2}+1)^{\frac{3}{2}}dx
integral of-3xln(x)	\int\:-3x\ln(x)dx
integral of 1/((x+sqrt(1-x^2)))	\int\:\frac{1}{(x+\sqrt{1-x^{2}})}dx
integral of 3x(x^2+8)^2	\int\:3x(x^{2}+8)^{2}dx
integral of x^2(x^3+8)^{10}	\int\:x^{2}(x^{3}+8)^{10}dx
integral of 1/((x+3)sqrt(x+1))	\int\:\frac{1}{(x+3)\sqrt{x+1}}dx
integral of 1/(x(x^6+1))	\int\:\frac{1}{x(x^{6}+1)}dx
integral of x/((1-x)^2(1+x))	\int\:\frac{x}{(1-x)^{2}(1+x)}dx
integral of (e^{3x})/(3-e^{3x)}	\int\:\frac{e^{3x}}{3-e^{3x}}dx
integral of (12)/(x^3)	\int\:\frac{12}{x^{3}}dx
integral of (e^x)/((2-e^x)^2)	\int\:\frac{e^{x}}{(2-e^{x})^{2}}dx
integral of (4x-1)sin(4x)	\int\:(4x-1)\sin(4x)dx
integral of (4x)/((x-5)^3)	\int\:\frac{4x}{(x-5)^{3}}dx
integral of (6x+1)/(\sqrt[3]{3x+2)}	\int\:\frac{6x+1}{\sqrt[3]{3x+2}}dx
integral of arcsin(2x+2)	\int\:\arcsin(2x+2)dx
integral of 1/(1-cos^2(y))	\int\:\frac{1}{1-\cos^{2}(y)}dy
integral of 5/((x-1)(x+2))	\int\:\frac{5}{(x-1)(x+2)}dx
integral of 8xe^{0.005x^2}	\int\:8xe^{0.005x^{2}}dx
integral of 1/(x^2)+3	\int\:\frac{1}{x^{2}}+3dx
integral of 1/(1+sec(x))	\int\:\frac{1}{1+\sec(x)}dx
integral of x/(sqrt(2+3x^2))	\int\:\frac{x}{\sqrt{2+3x^{2}}}dx
integral of 5(t^2-5t-2)	\int\:5(t^{2}-5t-2)dt
integral of (3-2x)^{100}	\int\:(3-2x)^{100}dx
integral of-18e^{-0.6x}	\int\:-18e^{-0.6x}dx
integral of e^{-z}	\int\:e^{-z}dz
integral of e^{3x^2+ln(x)}	\int\:e^{3x^{2}+\ln(x)}dx
integral of (x^2)/(x^2+3x+2)	\int\:\frac{x^{2}}{x^{2}+3x+2}dx
integral of tan(x)+1	\int\:\tan(x)+1dx
integral of (x^2+2x)/(sqrt(1-x))	\int\:\frac{x^{2}+2x}{\sqrt{1-x}}dx
integral of (tan^3(ln(x))sec^6(ln(x)))/x	\int\:\frac{\tan^{3}(\ln(x))\sec^{6}(\ln(x))}{x}dx
integral of (5x-7)/(2x^2-3x+7)	\int\:\frac{5x-7}{2x^{2}-3x+7}dx
integral of 1/((2x-3)^3)	\int\:\frac{1}{(2x-3)^{3}}dx
integral of 2te^{t^2}	\int\:2te^{t^{2}}dt
integral of (x^2)/(x^3-x^2+x-1)	\int\:\frac{x^{2}}{x^{3}-x^{2}+x-1}dx
integral of (x+1)/(x^2-6x+8)	\int\:\frac{x+1}{x^{2}-6x+8}dx
integral of (2x^3-5)^5x^2	\int\:(2x^{3}-5)^{5}x^{2}dx
integral of 1os(x)	\int\:1d\cos(x)dx
integral of (3^{ln(x^5)})/x	\int\:\frac{3^{\ln(x^{5})}}{x}dx
integral of (x^4)/(x^5-7)	\int\:\frac{x^{4}}{x^{5}-7}dx
integral of x^3sqrt(x^2+46)	\int\:x^{3}\sqrt{x^{2}+46}dx
integral of xsin(x^2)cos(x^2)	\int\:x\sin(x^{2})\cos(x^{2})dx
integral of cos^7(x)sin^5(x)	\int\:\cos^{7}(x)\sin^{5}(x)dx
integral of (x^2+3x)/((x-3)(x^2+1)^2)	\int\:\frac{x^{2}+3x}{(x-3)(x^{2}+1)^{2}}dx
integral of e^t+1	\int\:e^{t}+1dt
integral of (1+cos^2(θ))/(cos^2(θ))	\int\:\frac{1+\cos^{2}(θ)}{\cos^{2}(θ)}dθ
integral of 1/(x(sqrt(4+x^2))^3)	\int\:\frac{1}{x(\sqrt{4+x^{2}})^{3}}dx
integral of (xe^{-x})/((1+e^{-x))^2}	\int\:\frac{xe^{-x}}{(1+e^{-x})^{2}}dx
integral of 1/(xsqrt(5x^2-4))	\int\:\frac{1}{x\sqrt{5x^{2}-4}}dx
integral of (5e^{4x})/(sqrt(e^{4x)+3)}	\int\:\frac{5e^{4x}}{\sqrt{e^{4x}+3}}dx
integral of 1/(x*ln(x)ln(ln(x)))	\int\:\frac{1}{x\cdot\:\ln(x)\ln(\ln(x))}dx
integral of (2t^3-t^2+2t+4)/(1+t^2)	\int\:\frac{2t^{3}-t^{2}+2t+4}{1+t^{2}}dt
integral of arccos(sqrt(x))	\int\:\arccos(\sqrt{x})dx
integral of (4x^3-4x+6)	\int\:(4x^{3}-4x+6)dx
integral of x^2-6x+9	\int\:x^{2}-6x+9dx
integral of-x*cos(x)	\int\:-x\cdot\:\cos(x)dx
integral of (8x-1)/((x-2)(x+3))	\int\:\frac{8x-1}{(x-2)(x+3)}dx
integral of x^4-x^2	\int\:x^{4}-x^{2}dx
integral of 1/(sin(x)sqrt(1+cos(x)))	\int\:\frac{1}{\sin(x)\sqrt{1+\cos(x)}}dx

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