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Popular Calculus Problems

integral of-5e^{-4sin(2x)}cos(2x)	\int\:-5e^{-4\sin(2x)}\cos(2x)dx
integral of 9x^2sqrt(1-x^3)	\int\:9x^{2}\sqrt{1-x^{3}}dx
integral of-1/(x^2+4)	\int\:-\frac{1}{x^{2}+4}dx
integral of 72x^5ln(x)	\int\:72x^{5}\ln(x)dx
integral of (7^{2x})/(7^{2x)+5}	\int\:\frac{7^{2x}}{7^{2x}+5}dx
integral of 3cot^5(x)sin^4(x)	\int\:3\cot^{5}(x)\sin^{4}(x)dx
integral of 12x^3-cos(7x)	\int\:12x^{3}-\cos(7x)dx
integral of 1/(2+e^{2x)}	\int\:\frac{1}{2+e^{2x}}dx
integral of (4xe^{-2x})	\int\:(4xe^{-2x})dx
integral of (x^4)/(x^2)	\int\:\frac{x^{4}}{x^{2}}dx
integral of 4/((x-sqrt(3))(x+\sqrt{3))}	\int\:\frac{4}{(x-\sqrt{3})(x+\sqrt{3})}dx
integral of (x^8)/(1+x^2)	\int\:\frac{x^{8}}{1+x^{2}}dx
integral of sin^{-2}(3θ)cos^3(3θ)	\int\:\sin^{-2}(3θ)\cos^{3}(3θ)dθ
integral of x/(x^2-a^2)	\int\:\frac{x}{x^{2}-a^{2}}dx
integral of x^2(x^3+7)^4	\int\:x^{2}(x^{3}+7)^{4}dx
integral of coth(3x-5)	\int\:\coth(3x-5)dx
integral of sqrt((x^4-2)/(x^{14))}	\int\:\sqrt{\frac{x^{4}-2}{x^{14}}}dx
integral of ((x^3))/(x^2-1)	\int\:\frac{(x^{3})}{x^{2}-1}dx
integral of x/(sqrt(4x^2-25))	\int\:\frac{x}{\sqrt{4x^{2}-25}}dx
integral of-(1600)/(x^2)	\int\:-\frac{1600}{x^{2}}dx
integral of sin(3x)*cos(2x)	\int\:\sin(3x)\cdot\:\cos(2x)dx
integral of sqrt(x)+1/(5sqrt(x))	\int\:\sqrt{x}+\frac{1}{5\sqrt{x}}dx
integral of (3-3x^2)	\int\:(3-3x^{2})dx
integral of e^{(5x)}	\int\:e^{(5x)}dx
integral of 1/(xsqrt(81x^2-1))	\int\:\frac{1}{x\sqrt{81x^{2}-1}}dx
integral of t^2e^{t^2}	\int\:t^{2}e^{t^{2}}dt
integral of 3+cos(x)	\int\:3+\cos(x)dx
integral of 9/2 x^2	\int\:\frac{9}{2}x^{2}dx
integral of 1/(x-3x^2)	\int\:\frac{1}{x-3x^{2}}dx
integral of 1/(x(ln(x))^k)	\int\:\frac{1}{x(\ln(x))^{k}}dx
integral of (3x+4)/(x^2+1)	\int\:\frac{3x+4}{x^{2}+1}dx
integral of sqrt(x^3)ln(x)	\int\:\sqrt{x^{3}}\ln(x)dx
integral of 1/(25+y^2)	\int\:\frac{1}{25+y^{2}}dy
integral of (sin(2t))/(cos^2(2t))	\int\:\frac{\sin(2t)}{\cos^{2}(2t)}dt
integral of tan^6(4x)sec^4(4x)	\int\:\tan^{6}(4x)\sec^{4}(4x)dx
integral of sqrt((x-2)/(x+2))	\int\:\sqrt{\frac{x-2}{x+2}}dx
integral of log_{e^x}(x)	\int\:\log_{e^{x}}(x)dx
integral of (x^3sin(x))	\int\:(x^{3}\sin(x))dx
integral of (e^x)/(e^{-3x-1)}	\int\:\frac{e^{x}}{e^{-3x-1}}dx
integral of (x^5)/(\sqrt[3]{1+x^3)}	\int\:\frac{x^{5}}{\sqrt[3]{1+x^{3}}}dx
integral of (tan(2x)cot(2x))^2	\int\:(\tan(2x)\cot(2x))^{2}dx
integral of x^33^{x^4}	\int\:x^{3}3^{x^{4}}dx
integral of-5y	\int\:-5ydy
integral of cos(4x)x	\int\:\cos(4x)xdx
integral of (x^3)/((3-2x)^5)	\int\:\frac{x^{3}}{(3-2x)^{5}}dx
integral of 4/((x^3+4x))	\int\:\frac{4}{(x^{3}+4x)}dx
integral of (2x)/(sqrt(9+x^2))	\int\:\frac{2x}{\sqrt{9+x^{2}}}dx
integral of (x-2)/((x^2+2x+2)^2)	\int\:\frac{x-2}{(x^{2}+2x+2)^{2}}dx
integral of 3x^2(x^3+2)^{3/2}	\int\:3x^{2}(x^{3}+2)^{\frac{3}{2}}dx
integral of \sqrt[3]{(x^2-4x+4)^4}	\int\:\sqrt[3]{(x^{2}-4x+4)^{4}}dx
integral of (4x^2+6)^2	\int\:(4x^{2}+6)^{2}dx
integral of (x+7)^5	\int\:(x+7)^{5}dx
integral of 1/(sqrt(x)*(x+1))	\int\:\frac{1}{\sqrt{x}\cdot\:(x+1)}dx
integral of-4z^3	\int\:-4z^{3}dz
integral of (5x^3+20x^2-4x+4)/(x^2+4x)	\int\:\frac{5x^{3}+20x^{2}-4x+4}{x^{2}+4x}dx
integral of (y^2+2y)/(sqrt(y^3+3y^2+4))	\int\:\frac{y^{2}+2y}{\sqrt{y^{3}+3y^{2}+4}}dy
integral of 1/(9xlog_{3)(x)}	\int\:\frac{1}{9x\log_{3}(x)}dx
integral of \sqrt[3]{4x}	\int\:\sqrt[3]{4x}dx
integral of 1/16 cos^3(x)sin^2(x)	\int\:\frac{1}{16}\cos^{3}(x)\sin^{2}(x)dx
integral of (2sin(x)+cos(x))	\int\:(2\sin(x)+\cos(x))dx
integral of xarctan(x+1)	\int\:x\arctan(x+1)dx
integral of e^{-st}cos(3t)	\int\:e^{-st}\cos(3t)dt
integral of x^4-8x	\int\:x^{4}-8xdx
integral of (7t^5)/(sqrt(t^2+2))	\int\:\frac{7t^{5}}{\sqrt{t^{2}+2}}dt
integral of (7/6)^x	\int\:(\frac{7}{6})^{x}dx
integral of ((4sin(sqrt(x))))/(sqrt(x))	\int\:\frac{(4\sin(\sqrt{x}))}{\sqrt{x}}dx
integral of 3x^2-2x+7	\int\:3x^{2}-2x+7dx
integral of 9cot^5(x)sin^4(x)	\int\:9\cot^{5}(x)\sin^{4}(x)dx
integral of e^{tan(31x)}sec^2(31x)	\int\:e^{\tan(31x)}\sec^{2}(31x)dx
integral of (x^2)/(\sqrt[3]{9+x^3)}	\int\:\frac{x^{2}}{\sqrt[3]{9+x^{3}}}dx
integral of 2/5 x^{5/3}	\int\:\frac{2}{5}x^{\frac{5}{3}}dx
integral of 1/2 x^{-1}	\int\:\frac{1}{2}x^{-1}dx
integral of cot^7(x/4)csc^2(x/4)	\int\:\cot^{7}(\frac{x}{4})\csc^{2}(\frac{x}{4})dx
integral of sqrt(x^8)	\int\:\sqrt{x^{8}}dx
integral of (3x^2-7x+4)/x	\int\:\frac{3x^{2}-7x+4}{x}dx
integral of 4xsin(4-x^2)	\int\:4x\sin(4-x^{2})dx
integral of-3xe^{x^2}	\int\:-3xe^{x^{2}}dx
integral of 7/2-x	\int\:\frac{7}{2}-xdx
integral of 5/(xsqrt(x+1))	\int\:\frac{5}{x\sqrt{x+1}}dx
integral of (2x)/(x^2+4x+6)	\int\:\frac{2x}{x^{2}+4x+6}dx
integral of sin^2(x)in(x)	\int\:\sin^{2}(x)d\sin(x)dx
integral of-4xe^{2x}	\int\:-4xe^{2x}dx
integral of sin(10pix)	\int\:\sin(10πx)dx
integral of sqrt(2x^2)	\int\:\sqrt{2x^{2}}dx
integral of (ln(t))/(7t^3)	\int\:\frac{\ln(t)}{7t^{3}}dt
integral of sqrt(1+7x)	\int\:\sqrt{1+7x}dx
integral of (6x+3)e-2x	\int\:(6x+3)e-2xdx
integral of x^{11}ln(9x^6)	\int\:x^{11}\ln(9x^{6})dx
integral of f(x)=arcsin(sqrt(x/2))	integral\:f(x)=\arcsin(\sqrt{\frac{x}{2}})
integral of ((x^4-1)/x)^2	\int\:(\frac{x^{4}-1}{x})^{2}dx
integral of cos(sin(x)-5)cos(x)	\int\:\cos(\sin(x)-5)\cos(x)dx
integral of picos^2(x)	\int\:π\cos^{2}(x)dx
integral of x/(x+11)	\int\:\frac{x}{x+11}dx
integral of sqrt(x)(x^3+1)	\int\:\sqrt{x}(x^{3}+1)dx
integral of 1/((x-3)^4)	\int\:\frac{1}{(x-3)^{4}}dx
integral of 3/((x^2+5)^2)	\int\:\frac{3}{(x^{2}+5)^{2}}dx
integral of 1/((1+x^2)sqrt(1+x^2))	\int\:\frac{1}{(1+x^{2})\sqrt{1+x^{2}}}dx
integral of sqrt(16x)sin(1+x^{3/2})	\int\:\sqrt{16x}\sin(1+x^{\frac{3}{2}})dx
integral of sec^2(4θ)	\int\:\sec^{2}(4θ)dθ
integral of 1/(x^2+c)	\int\:\frac{1}{x^{2}+c}dx

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