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Popular Calculus Problems

integral of 1/(y^2+3y+1)	\int\:\frac{1}{y^{2}+3y+1}dy
integral of e^x2^x	\int\:e^{x}2^{x}dx
integral of x^2+3x-4	\int\:x^{2}+3x-4dx
integral of sqrt(2)x	\int\:\sqrt{2}xdx
integral of x^3(1-4x^2)^{3/2}	\int\:x^{3}(1-4x^{2})^{\frac{3}{2}}dx
integral of 8/(x^3-4x)	\int\:\frac{8}{x^{3}-4x}dx
integral of x^2e^{(-x^2)/2}	\int\:x^{2}e^{\frac{-x^{2}}{2}}dx
integral of sec^7(x)tan^5(x)	\int\:\sec^{7}(x)\tan^{5}(x)dx
integral of (t^2)/(\sqrt[4]{4+t^3)}	\int\:\frac{t^{2}}{\sqrt[4]{4+t^{3}}}dt
integral of (1+2x^2)/(x^4(1+x^2))	\int\:\frac{1+2x^{2}}{x^{4}(1+x^{2})}dx
integral of 1/(s^{1/2)-s^{1/4}}	\int\:\frac{1}{s^{\frac{1}{2}}-s^{\frac{1}{4}}}ds
integral of (x^2-8x-4)/(x^3-4x)	\int\:\frac{x^{2}-8x-4}{x^{3}-4x}dx
integral of (e^{2x})/(e^{2x)-4e^x+3}	\int\:\frac{e^{2x}}{e^{2x}-4e^{x}+3}dx
integral of 1 (cos^3(x))	\int\:\frac{d}{1}(\cos^{3}(x))dx
integral of x^37^{x^4}	\int\:x^{3}7^{x^{4}}dx
integral of 1/(2x^2+9)	\int\:\frac{1}{2x^{2}+9}dx
integral of (e^{sqrt(5x+2)})/(sqrt(5x+2))	\int\:\frac{e^{\sqrt{5x+2}}}{\sqrt{5x+2}}dx
integral of ysqrt(y+9)	\int\:y\sqrt{y+9}dy
integral of 2^xsin(2^x)	\int\:2^{x}\sin(2^{x})dx
integral of (5x-2)^{10}	\int\:(5x-2)^{10}dx
integral of ((2x-sqrt(x))^2)/(sqrt(x))	\int\:\frac{(2x-\sqrt{x})^{2}}{\sqrt{x}}dx
integral of (x-x^2)	\int\:(x-x^{2})dx
integral of cot^3(2x)csc(2x)	\int\:\cot^{3}(2x)\csc(2x)dx
integral of x^2arctan(x/2)	\int\:x^{2}\arctan(\frac{x}{2})dx
integral of (sqrt(x+1))/(x+2)	\int\:\frac{\sqrt{x+1}}{x+2}dx
integral of x^2\sqrt[3]{1+x^3}	\int\:x^{2}\sqrt[3]{1+x^{3}}dx
integral of 1/(e^{-2x)+1}	\int\:\frac{1}{e^{-2x}+1}dx
integral of 2/(xsqrt(x^2-1))	\int\:\frac{2}{x\sqrt{x^{2}-1}}dx
integral of xsqrt(9+x)	\int\:x\sqrt{9+x}dx
integral of 64xsqrt(x^2+4)	\int\:64x\sqrt{x^{2}+4}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 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(1-x^2)))	\int\:\frac{x}{(\sqrt{1-x^{2}})}dx
integral of (3x-5)/(sqrt(1-x^2))	\int\:\frac{3x-5}{\sqrt{1-x^{2}}}dx
integral of xcos^2(x/2)	\int\:x\cos^{2}(\frac{x}{2})dx
integral of (x^2)/(2+2x^2)	\int\:\frac{x^{2}}{2+2x^{2}}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 (e^{6x})/(1+e^{6x)}	\int\:\frac{e^{6x}}{1+e^{6x}}dx
integral of ze^{yz}	\int\:ze^{yz}dy
integral of 12x^2(4x^3-3)	\int\:12x^{2}(4x^{3}-3)dx
integral of cos(x)in(x)	\int\:\cos(x)d\sin(x)dx
integral of 1/((x^2-x+1))	\int\:\frac{1}{(x^{2}-x+1)}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 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 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 (e^x)/((2-e^x)^2)	\int\:\frac{e^{x}}{(2-e^{x})^{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 1/(x^2)+3	\int\:\frac{1}{x^{2}}+3dx
integral of x/(sqrt(2+3x^2))	\int\:\frac{x}{\sqrt{2+3x^{2}}}dx
integral of e^{-z}	\int\:e^{-z}dz
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 (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 (x^4)/(x^5-7)	\int\:\frac{x^{4}}{x^{5}-7}dx
integral of xsin(x^2)cos(x^2)	\int\:x\sin(x^{2})\cos(x^{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 1/(sin(x)sqrt(1+cos(x)))	\int\:\frac{1}{\sin(x)\sqrt{1+\cos(x)}}dx
integral of (2x+3)e^x	\int\:(2x+3)e^{x}dx
integral of (x+5)/(x^2-6x+34)	\int\:\frac{x+5}{x^{2}-6x+34}dx
integral of (2-sqrt(tan(x)))^2sec^2(x)	\int\:(2-\sqrt{\tan(x)})^{2}\sec^{2}(x)dx
integral of (3+3tan^2(2x))	\int\:(3+3\tan^{2}(2x))dx
integral of (2x^2-1)cos(3x)	\int\:(2x^{2}-1)\cos(3x)dx
integral of ln(e^4x^3)	\int\:\ln(e^{4}x^{3})dx
integral of (10e^{-30t}sin(40t))	\int\:(10e^{-30t}\sin(40t))dt
integral of (e^x)/(sqrt(16-e^{2x))}	\int\:\frac{e^{x}}{\sqrt{16-e^{2x}}}dx
integral of 2sqrt(2x)	\int\:2\sqrt{2x}dx
integral of (20x^3+8)/(5x^4+8x+3)	\int\:\frac{20x^{3}+8}{5x^{4}+8x+3}dx
integral of sin(2x)sin(5x)	\int\:\sin(2x)\sin(5x)dx
integral of (36-x^2)^{5/2}	\int\:(36-x^{2})^{\frac{5}{2}}dx
integral of sec(1-z)tan(1-z)	\int\:\sec(1-z)\tan(1-z)dz
integral of \sqrt[3]{x^2}+3x-2	\int\:\sqrt[3]{x^{2}}+3x-2dx
integral of 3ax(ax^2+a^2)^{1/2}	\int\:3ax(ax^{2}+a^{2})^{\frac{1}{2}}dx
integral of 10e^{2x}	\int\:10e^{2x}dx
integral of 6/(1+6t^2)	\int\:\frac{6}{1+6t^{2}}dt
integral of (1+x^2)sin(2x)	\int\:(1+x^{2})\sin(2x)dx
integral of 2x(x^2-1)^3	\int\:2x(x^{2}-1)^{3}dx

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