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Popular Calculus Problems

integral of (3x)/(x^2+3)	\int\:\frac{3x}{x^{2}+3}dx
integral of 1/(e^{x+e^{-x)}}	\int\:\frac{1}{e^{x+e^{-x}}}dx
integral of (sinh(x))/(cosh^2(x))	\int\:\frac{\sinh(x)}{\cosh^{2}(x)}dx
integral of (3e^x-sin(x))	\int\:(3e^{x}-\sin(x))dx
integral of-3x^2e^{x^3}	\int\:-3x^{2}e^{x^{3}}dx
integral of sec^5(x)tan^7(x)	\int\:\sec^{5}(x)\tan^{7}(x)dx
integral of (x^2)/((4+x^2)^{3/2)}	\int\:\frac{x^{2}}{(4+x^{2})^{\frac{3}{2}}}dx
integral of (4sqrt(x))/(sqrt(1+x^3))	\int\:\frac{4\sqrt{x}}{\sqrt{1+x^{3}}}dx
integral of (3x^2+2x+1)/((x+1)^2(x^2+1))	\int\:\frac{3x^{2}+2x+1}{(x+1)^{2}(x^{2}+1)}dx
integral of-4xsin(x)	\int\:-4x\sin(x)dx
integral of 1/(45-20x-25x^2)	\int\:\frac{1}{45-20x-25x^{2}}dx
integral of (e^x)/(2e^x-1)	\int\:\frac{e^{x}}{2e^{x}-1}dx
integral of (x^2+x+2)(2x^3+3x^2+12x)	\int\:(x^{2}+x+2)(2x^{3}+3x^{2}+12x)dx
integral of 1/(x^4+13x^2+36)	\int\:\frac{1}{x^{4}+13x^{2}+36}dx
integral of (e^{2x})/(sqrt(e^x-1))	\int\:\frac{e^{2x}}{\sqrt{e^{x}-1}}dx
integral of ((x^2+4x+27))/((x-2)(x^2+9))	\int\:\frac{(x^{2}+4x+27)}{(x-2)(x^{2}+9)}dx
integral of 3x^2sin(4x^3-2)	\int\:3x^{2}\sin(4x^{3}-2)dx
integral of (ln(1-x))/(sqrt(1-x))	\int\:\frac{\ln(1-x)}{\sqrt{1-x}}dx
integral of 1/(x^2)-1/x	\int\:\frac{1}{x^{2}}-\frac{1}{x}dx
integral of \sqrt[4]{cos(x)}sin(x)	\int\:\sqrt[4]{\cos(x)}\sin(x)dx
integral of (3x^2+x-1)	\int\:(3x^{2}+x-1)dx
integral of (e^x+2^x)^2	\int\:(e^{x}+2^{x})^{2}dx
integral of (3-x)sqrt(x)	\int\:(3-x)\sqrt{x}dx
integral of 1/(sqrt(4x-x^2-3))	\int\:\frac{1}{\sqrt{4x-x^{2}-3}}dx
integral of (x^2)/(3x^3+1)	\int\:\frac{x^{2}}{3x^{3}+1}dx
integral of 48(1+x^2)(7+12x+4x^3)^{16}	\int\:48(1+x^{2})(7+12x+4x^{3})^{16}dx
integral of (sin(ln(x)))	\int\:(\sin(\ln(x)))dx
integral of sec(x)sin(x)	\int\:\sec(x)\sin(x)dx
integral of ln(4-2x)	\int\:\ln(4-2x)dx
integral of 10cos(x)+sec^2(x)	\int\:10\cos(x)+\sec^{2}(x)dx
integral of 18csc^2(9x)cot(9x)	\int\:18\csc^{2}(9x)\cot(9x)dx
integral of 1/((2x+2)(ln(x+1))^2)	\int\:\frac{1}{(2x+2)(\ln(x+1))^{2}}dx
integral of (cos(2x))/(2+3sin(2x))	\int\:\frac{\cos(2x)}{2+3\sin(2x)}dx
integral of 2e^t+3sin(t)	\int\:2e^{t}+3\sin(t)dt
integral of x*sqrt(1+x)	\int\:x\cdot\:\sqrt{1+x}dx
integral of xsqrt(2x^2-3)	\int\:x\sqrt{2x^{2}-3}dx
integral of tcos^2(2t)	\int\:t\cos^{2}(2t)dt
integral of e^{-x}(2e^{-x}+3)^9	\int\:e^{-x}(2e^{-x}+3)^{9}dx
integral of (2x^2)/(x^3sqrt(x^6-9))	\int\:\frac{2x^{2}}{x^{3}\sqrt{x^{6}-9}}dx
integral of (sin(θ)-cos(θ))	\int\:(\sin(θ)-\cos(θ))dθ
integral of x(e^{-x^2})	\int\:x(e^{-x^{2}})dx
integral of (sqrt(x))^7	\int\:(\sqrt{x})^{7}dx
integral of (cos(ln(t)))/(5t)	\int\:\frac{\cos(\ln(t))}{5t}dt
integral of (2x^4+6)^{4/3}x^3	\int\:(2x^{4}+6)^{\frac{4}{3}}x^{3}dx
integral of (x^5+9x^3-9x^2-9)/(x^3+9x)	\int\:\frac{x^{5}+9x^{3}-9x^{2}-9}{x^{3}+9x}dx
integral of 1/(x^2)sin(2/x+3)	\int\:\frac{1}{x^{2}}\sin(\frac{2}{x}+3)dx
integral of 6sin^3(x)cos(x)	\int\:6\sin^{3}(x)\cos(x)dx
integral of 1/(1+36x^2)	\int\:\frac{1}{1+36x^{2}}dx
integral of 1/(sqrt(1-\sqrt{x))}	\int\:\frac{1}{\sqrt{1-\sqrt{x}}}dx
integral of (x+3)/((x+1)(x^2+x+3))	\int\:\frac{x+3}{(x+1)(x^{2}+x+3)}dx
integral of-1/(e^x+1)	\int\:-\frac{1}{e^{x}+1}dx
integral of (6x^2+1)/(x^2(x-1)^3)	\int\:\frac{6x^{2}+1}{x^{2}(x-1)^{3}}dx
integral of cos(1-3x)	\int\:\cos(1-3x)dx
integral of (x^4+x-3)/(x^3)	\int\:\frac{x^{4}+x-3}{x^{3}}dx
integral of x^2sqrt(12+x^3)	\int\:x^{2}\sqrt{12+x^{3}}dx
integral of sqrt(x^2-x)	\int\:\sqrt{x^{2}-x}dx
integral of (3-x)/2	\int\:\frac{3-x}{2}dx
integral of (2x-1)/((x-2)(x-3)(x+1))	\int\:\frac{2x-1}{(x-2)(x-3)(x+1)}dx
integral of (a^2-2x^2)^4*(20x)	\int\:(a^{2}-2x^{2})^{4}\cdot\:(20x)dx
integral of (2x^3)/(1+x^2)	\int\:\frac{2x^{3}}{1+x^{2}}dx
integral of (1/(cos^2(x))-1/(sin^2(x)))	\int\:(\frac{1}{\cos^{2}(x)}-\frac{1}{\sin^{2}(x)})dx
integral of (4x)/(sqrt(1-x^2))	\int\:\frac{4x}{\sqrt{1-x^{2}}}dx
integral of-sin(x)+3cos(x)-1x	\int\:-\sin(x)+3\cos(x)-1xdx
integral of (x^2-1)(4+3x)	\int\:(x^{2}-1)(4+3x)dx
integral of xrcsin(x)	\int\:xd\arcsin(x)dx
integral of e^xsech(x)	\int\:e^{x}\sech(x)dx
integral of (3x+3)/(x^2+8x+16)	\int\:\frac{3x+3}{x^{2}+8x+16}dx
integral of sec^2(pix)+e^{-3x}	\int\:\sec^{2}(πx)+e^{-3x}dx
integral of sec^2(2a)x	\int\:\sec^{2}(2a)xdx
integral of 1/u	integral\:\frac{1}{u}
integral of 1/t	integral\:\frac{1}{t}
integral of 1/(sqrt(-x^2-8x))	\int\:\frac{1}{\sqrt{-x^{2}-8x}}dx
integral of 1 (xsin(x))	\int\:\frac{d}{1}(x\sin(x))dx
integral of (x+3)/x	\int\:\frac{x+3}{x}dx
integral of-x^2+2x+8	\int\:-x^{2}+2x+8dx
integral of (20x^4+8)(2x^5+4x)^{15}	\int\:(20x^{4}+8)(2x^{5}+4x)^{15}dx
integral of 80x^{1/2}	\int\:80x^{\frac{1}{2}}dx
integral of (cos(pi/(x^7)))/(x^8)	\int\:\frac{\cos(\frac{π}{x^{7}})}{x^{8}}dx
integral of-cos(x)e^x	\int\:-\cos(x)e^{x}dx
integral of (sec(x)+csc(x))^2	\int\:(\sec(x)+\csc(x))^{2}dx
integral of (5x-4)^8	\int\:(5x-4)^{8}dx
integral of (\sqrt[6]{x^7})	\int\:(\sqrt[6]{x^{7}})dx
integral of ((1-x)^2)/(xsqrt(x))	\int\:\frac{(1-x)^{2}}{x\sqrt{x}}dx
integral of (e^x)/(e^{3x)-e^{2x}+e^x-1}	\int\:\frac{e^{x}}{e^{3x}-e^{2x}+e^{x}-1}dx
integral of (2x^3-5x^2-3x+4)	\int\:(2x^{3}-5x^{2}-3x+4)dx
integral of (e^x-x)	\int\:(e^{x}-x)dx
integral of x^3(a^2-x^2)^{1/2}	\int\:x^{3}(a^{2}-x^{2})^{\frac{1}{2}}dx
integral of (sin(sqrt(3x)))/(sqrt(3x))	\int\:\frac{\sin(\sqrt{3x})}{\sqrt{3x}}dx
integral of x^3sqrt(x^2+39)	\int\:x^{3}\sqrt{x^{2}+39}dx
integral of ((2x+6))/(x^2+4x+8)	\int\:\frac{(2x+6)}{x^{2}+4x+8}dx
integral of (x^2+6x)^{24}(x+3)	\int\:(x^{2}+6x)^{24}(x+3)dx
integral of ((m-24)x+(m+18))/(4x^2+x-3)	\int\:\frac{(m-24)x+(m+18)}{4x^{2}+x-3}dx
integral of sqrt(4-3x)	\int\:\sqrt{4-3x}dx
integral of zsqrt(z-5)	\int\:z\sqrt{z-5}dz
integral of 1/((2x-1)sqrt(3+4x-4x^2))	\int\:\frac{1}{(2x-1)\sqrt{3+4x-4x^{2}}}dx
integral of (x+2)/(sqrt(-x^2-4x))	\int\:\frac{x+2}{\sqrt{-x^{2}-4x}}dx
integral of (2x-1)/(x^3+x)	\int\:\frac{2x-1}{x^{3}+x}dx
integral of 1/(e^x+e^{x/2)}	\int\:\frac{1}{e^{x}+e^{\frac{x}{2}}}dx
integral of x(1-x^2)^{10}	\int\:x(1-x^{2})^{10}dx
integral of 6xe^{-x/6}	\int\:6xe^{-\frac{x}{6}}dx

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