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Popular Calculus Problems

integral of (ln(x))/(x(6-ln(x)))	\int\:\frac{\ln(x)}{x(6-\ln(x))}dx
integral of ye^{xy}-1/y	\int\:ye^{xy}-\frac{1}{y}dx
integral of e^{2x}*\sqrt[3]{e^x+2}	\int\:e^{2x}\cdot\:\sqrt[3]{e^{x}+2}dx
integral of x*sqrt(x^2+9)	\int\:x\cdot\:\sqrt{x^{2}+9}dx
integral of 1/((x^2+1)^2)	integral\:\frac{1}{(x^{2}+1)^{2}}
integral of sqrt(1-(sin(x))^2)	\int\:\sqrt{1-(\sin(x))^{2}}dx
integral of 2x^{-3/2}	\int\:2x^{-\frac{3}{2}}dx
integral of 8x^3+2x	\int\:8x^{3}+2xdx
integral of x/((1+x^2)^2)arctan(x)	\int\:\frac{x}{(1+x^{2})^{2}}\arctan(x)dx
integral of x^2e^{x^3-8}	\int\:x^{2}e^{x^{3}-8}dx
integral of-8xsin(4x^2-7)	\int\:-8x\sin(4x^{2}-7)dx
integral of (7sqrt(x^3)+9\sqrt[3]{x^2})	\int\:(7\sqrt{x^{3}}+9\sqrt[3]{x^{2}})dx
integral of (2-e^x)/(1+e^x)	\int\:\frac{2-e^{x}}{1+e^{x}}dx
integral of 4(2x-9)^3	\int\:4(2x-9)^{3}dx
integral of 8x+10	\int\:8x+10dx
integral of 2xycos(x^2y)	\int\:2xy\cos(x^{2}y)dx
integral of (2x-1)^{-1/2}	\int\:(2x-1)^{-\frac{1}{2}}dx
integral of k(1-x)	\int\:k(1-x)dx
integral of 15sin(x)	\int\:15\sin(x)dx
integral of (sin(z)cos(z))/(1+sin^4(z))	\int\:\frac{\sin(z)\cos(z)}{1+\sin^{4}(z)}dz
integral of a-x	\int\:a-xdx
integral of (x-2)/(sqrt(x+3))	\int\:\frac{x-2}{\sqrt{x+3}}dx
integral of (5x^2-7x+4)	\int\:(5x^{2}-7x+4)dx
integral of 1/(csc^3(x))	\int\:\frac{1}{\csc^{3}(x)}dx
integral of (2e^x-3/x)	\int\:(2e^{x}-\frac{3}{x})dx
integral of xe^{(-4x)}	\int\:xe^{(-4x)}dx
integral of xrccos(x)	\int\:xd\arccos(x)dx
integral of 16xcos(8x^2-1)	\int\:16x\cos(8x^{2}-1)dx
integral of (x^2+2x+1)/x	\int\:\frac{x^{2}+2x+1}{x}dx
integral of 2-csc^2(x)	\int\:2-\csc^{2}(x)dx
integral of (2x)/((x^2+5)^3)	\int\:\frac{2x}{(x^{2}+5)^{3}}dx
integral of (2sin(x))/((cos(2x)cos(x)))	\int\:\frac{2\sin(x)}{(\cos(2x)\cos(x))}dx
integral of ((x+4)^2)/(x^2)	\int\:\frac{(x+4)^{2}}{x^{2}}dx
integral of sqrt(3)x	\int\:\sqrt{3}xdx
integral of sqrt(x^2+4x+1)	\int\:\sqrt{x^{2}+4x+1}dx
integral of (5-e^x)/(e^{9x)}	\int\:\frac{5-e^{x}}{e^{9x}}dx
integral of x^2(x^3+2)^6	\int\:x^{2}(x^{3}+2)^{6}dx
integral of (x^4+x^2+1)/(x^2)	\int\:\frac{x^{4}+x^{2}+1}{x^{2}}dx
integral of sec(x)(4tan(x)+5sec(x))	\int\:\sec(x)(4\tan(x)+5\sec(x))dx
integral of 1/(r+1)	\int\:\frac{1}{r+1}dr
integral of e^{2x}cos(pi)x	\int\:e^{2x}\cos(π)xdx
integral of (50)/(x+5)	\int\:\frac{50}{x+5}dx
integral of 1/((x+5))	\int\:\frac{1}{(x+5)}dx
integral of ln(x^2+2x)	\int\:\ln(x^{2}+2x)dx
integral of (3x^2+19x+27)/((x+2)(x+3)^2)	\int\:\frac{3x^{2}+19x+27}{(x+2)(x+3)^{2}}dx
integral of 10e^{-x/2}	\int\:10e^{-\frac{x}{2}}dx
integral of (1-x)e^{x^2}	\int\:(1-x)e^{x^{2}}dx
integral of (4x^2-3x)e^{-x}	\int\:(4x^{2}-3x)e^{-x}dx
integral of 1/((sqrt(9-x^2))^3)	\int\:\frac{1}{(\sqrt{9-x^{2}})^{3}}dx
integral of ((ln(x))^2+1)/x	\int\:\frac{(\ln(x))^{2}+1}{x}dx
integral of x^3e^{-4x^2}	\int\:x^{3}e^{-4x^{2}}dx
integral of (5x^2-5)/(x^2)	\int\:\frac{5x^{2}-5}{x^{2}}dx
integral of (2x+5)^{100}	\int\:(2x+5)^{100}dx
integral of 2/((x-2)(x-1))	\int\:\frac{2}{(x-2)(x-1)}dx
integral of 2/(3x^2+3x+1)	\int\:\frac{2}{3x^{2}+3x+1}dx
integral of (sqrt(4-x^2))/(x^3)	\int\:\frac{\sqrt{4-x^{2}}}{x^{3}}dx
integral of ((x^3-x))/(sqrt(x^2+1))	\int\:\frac{(x^{3}-x)}{\sqrt{x^{2}+1}}dx
integral of x^24^{-x}	\int\:x^{2}4^{-x}dx
integral of (2/x+1)^2	\int\:(\frac{2}{x}+1)^{2}dx
integral of x^3e^{ax}	\int\:x^{3}e^{ax}dx
integral of 16x^{-1/5}tan(x^{4/5})	\int\:16x^{-\frac{1}{5}}\tan(x^{\frac{4}{5}})dx
integral of sqrt(z)(7z^2-5z)	\int\:\sqrt{z}(7z^{2}-5z)dz
integral of a^{ny}	\int\:a^{ny}dy
integral of (e^x)/(-2+e^x)	\int\:\frac{e^{x}}{-2+e^{x}}dx
integral of 1/(sqrt(-3+4x-x^2))	\int\:\frac{1}{\sqrt{-3+4x-x^{2}}}dx
integral of (v+1)/(2v+1)	\int\:\frac{v+1}{2v+1}dv
integral of 2x^3+3x^2-10x	\int\:2x^{3}+3x^{2}-10xdx
integral of (t^3)/(t-1)	\int\:\frac{t^{3}}{t-1}dt
integral of (x^2+x+8)/(x^2+3x-4)	\int\:\frac{x^{2}+x+8}{x^{2}+3x-4}dx
integral of-2/(sqrt(49-9x^2))	\int\:-\frac{2}{\sqrt{49-9x^{2}}}dx
integral of (12x^8-x)/(x^3)	\int\:\frac{12x^{8}-x}{x^{3}}dx
integral of (e^{2x}+10)^3	\int\:(e^{2x}+10)^{3}dx
integral of (9x-15)/((3x-1)^2)	\int\:\frac{9x-15}{(3x-1)^{2}}dx
integral of a/(cos^2(bx))	\int\:\frac{a}{\cos^{2}(bx)}dx
integral of (3x^2-2x+1)(x^3-x^2+x)^2	\int\:(3x^{2}-2x+1)(x^{3}-x^{2}+x)^{2}dx
integral of (sqrt(3-x^2))/(x^2)	\int\:\frac{\sqrt{3-x^{2}}}{x^{2}}dx
integral of (1-x)/((x+1)(x^2+1))	\int\:\frac{1-x}{(x+1)(x^{2}+1)}dx
integral of (5e^{-3+ln(3x)})/x	\int\:\frac{5e^{-3+\ln(3x)}}{x}dx
integral of 1/(5+2cos(x))	\int\:\frac{1}{5+2\cos(x)}dx
integral of x(1-x^2)^{-1/2}	\int\:x(1-x^{2})^{-\frac{1}{2}}dx
integral of (x^2+2)/(x^3+x)	\int\:\frac{x^{2}+2}{x^{3}+x}dx
integral of 6/(x^3+4x^2+6x)	\int\:\frac{6}{x^{3}+4x^{2}+6x}dx
integral of tan^2(x^5)x^4	\int\:\tan^{2}(x^{5})x^{4}dx
integral of 18x^2\sqrt[4]{6x^3+5}	\int\:18x^{2}\sqrt[4]{6x^{3}+5}dx
integral of 1/(x^2+1/4)	\int\:\frac{1}{x^{2}+\frac{1}{4}}dx
integral of 1/9 cos(x)	\int\:\frac{1}{9}\cos(x)dx
integral of 10x(5x^2+9)^7	\int\:10x(5x^{2}+9)^{7}dx
integral of x^{2/6}	\int\:x^{\frac{2}{6}}dx
integral of 4x^3+3sqrt(x)+1/(x^3)	\int\:4x^{3}+3\sqrt{x}+\frac{1}{x^{3}}dx
integral of sin^2(a)	\int\:\sin^{2}(a)
integral of (1/(4-x))	\int\:(\frac{1}{4-x})dx
integral of 81cos^2(x)	\int\:81\cos^{2}(x)dx
integral of 5xsin(3-2x)	\int\:5x\sin(3-2x)dx
integral of na^{cos(bx)}sin(bx)	\int\:na^{\cos(bx)}\sin(bx)dx
integral of 9xe^{-4x^2}	\int\:9xe^{-4x^{2}}dx
integral of s10^{s^2}	\int\:s10^{s^{2}}ds
integral of (6x+6)/(x^2+1)	\int\:\frac{6x+6}{x^{2}+1}dx
integral of cot^3(2t)	\int\:\cot^{3}(2t)dt
integral of (x+4)^2(x-6)^5(x-9)^3	\int\:(x+4)^{2}(x-6)^{5}(x-9)^{3}dx
integral of (x+3)/((x-a)^4)	\int\:\frac{x+3}{(x-a)^{4}}dx

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