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Popular Calculus Problems

integral of (1+u+u^2+u^5)	\int\:(1+u+u^{2}+u^{5})du
integral of 1/(xln(x)+x)	\int\:\frac{1}{x\ln(x)+x}dx
integral of (y^2-y^3)	\int\:(y^{2}-y^{3})dy
integral of-4.15x^2+5.1x+6.096	\int\:-4.15x^{2}+5.1x+6.096dx
integral of (x^2+x-4)/(x-1)	\int\:\frac{x^{2}+x-4}{x-1}dx
integral of (cos(z))/(1+sin(z))	\int\:\frac{\cos(z)}{1+\sin(z)}dz
integral of 0.2x+1	\int\:0.2x+1dx
integral of sec^2(x/2)	integral\:\sec^{2}(\frac{x}{2})
integral of x(2-x^2)^3	\int\:x(2-x^{2})^{3}dx
integral of (2x-1)/(x^2-1)	\int\:\frac{2x-1}{x^{2}-1}dx
integral of sec^2(x)tan^1(x)	\int\:\sec^{2}(x)\tan^{1}(x)dx
integral of (5.4145)/(sqrt(1+0.91x))	\int\:\frac{5.4145}{\sqrt{1+0.91x}}dx
integral of (x^2+1)/(2x-x^2)	\int\:\frac{x^{2}+1}{2x-x^{2}}dx
integral of x/(a^2-x^2)	\int\:\frac{x}{a^{2}-x^{2}}dx
integral of (ln((2a)/x))^2	\int\:(\ln(\frac{2a}{x}))^{2}dx
integral of (5x-5)/(x^2+x-6)	\int\:\frac{5x-5}{x^{2}+x-6}dx
integral of 1/(sqrt(x)+5)	\int\:\frac{1}{\sqrt{x}+5}dx
integral of sqrt(144-16x^2)	\int\:\sqrt{144-16x^{2}}dx
integral of xartan(x)	\int\:xar\tan(x)dx
integral of (3cos(x)+2sin(x))	\int\:(3\cos(x)+2\sin(x))dx
integral of (4x)/(x-5)	\int\:\frac{4x}{x-5}dx
integral of csc^5(pix)cot^3(pix)	\int\:\csc^{5}(πx)\cot^{3}(πx)dx
integral of (x+5)^{3/2}	\int\:(x+5)^{\frac{3}{2}}dx
integral of 1/(x^3(x-1))	\int\:\frac{1}{x^{3}(x-1)}dx
integral of (x+2)/((x^2+4x+6)^5)	\int\:\frac{x+2}{(x^{2}+4x+6)^{5}}dx
integral of 5sin(x-6)+54x^8+9sin(x-6)	\int\:5\sin(x-6)+54x^{8}+9\sin(x-6)dx
integral of e^{2x}cos(h)x	\int\:e^{2x}\cos(h)xdx
integral of (x^2+30x-9)/(x^3-9x)	\int\:\frac{x^{2}+30x-9}{x^{3}-9x}dx
integral of e^{3x}(x+e^{-2x})	\int\:e^{3x}(x+e^{-2x})dx
integral of 1/(sqrt(4x^2+c^2))	\int\:\frac{1}{\sqrt{4x^{2}+c^{2}}}dx
integral of (7x^2)/((81+x^2)^2)	\int\:\frac{7x^{2}}{(81+x^{2})^{2}}dx
integral of (19)/((x^2-1)^2)	\int\:\frac{19}{(x^{2}-1)^{2}}dx
integral of (arcsin(x))/(2x^2)	\int\:\frac{\arcsin(x)}{2x^{2}}dx
integral of t^9	\int\:t^{9}dt
integral of (x^6+x^8)	\int\:(x^{6}+x^{8})dx
integral of 1/(2-4x-x^2)	\int\:\frac{1}{2-4x-x^{2}}dx
integral of (1-sec^2(x))/(5tan^2(x))	\int\:\frac{1-\sec^{2}(x)}{5\tan^{2}(x)}dx
integral of 1/(sin^5(x)*cos(x))	\int\:\frac{1}{\sin^{5}(x)\cdot\:\cos(x)}dx
integral of (x^2)/(1+y^2)	\int\:\frac{x^{2}}{1+y^{2}}dy
integral of (4x^3)/((2-x^4)^6)	\int\:\frac{4x^{3}}{(2-x^{4})^{6}}dx
integral of 1/10 e^{-1/10 x}	\int\:\frac{1}{10}e^{-\frac{1}{10}x}dx
integral of cos(ex)	\int\:\cos(ex)dx
integral of (x^3-6x+5)/(x^2-x-6)	\int\:\frac{x^{3}-6x+5}{x^{2}-x-6}dx
integral of (cos(x))/(8sin^2(x)+9sin(x))	\int\:\frac{\cos(x)}{8\sin^{2}(x)+9\sin(x)}dx
integral of (x-3)/(x^2+5x+6)	\int\:\frac{x-3}{x^{2}+5x+6}dx
integral of (e^y)/(e^y-1)	\int\:\frac{e^{y}}{e^{y}-1}dy
integral of 1/(x(7+ln(x^2)))	\int\:\frac{1}{x(7+\ln(x^{2}))}dx
integral of (ln(xe^x))/x	\int\:\frac{\ln(xe^{x})}{x}dx
integral of 3/(sec^2(5x))	\int\:\frac{3}{\sec^{2}(5x)}dx
integral of (cos(x))/(3sin^2(x)+4sin(x))	\int\:\frac{\cos(x)}{3\sin^{2}(x)+4\sin(x)}dx
integral of 3x^2+4x+8	\int\:3x^{2}+4x+8dx
integral of (64)/((x^2+4)^2)	\int\:\frac{64}{(x^{2}+4)^{2}}dx
integral of (x^3-6x^2+1)/(x(x^2-1))	\int\:\frac{x^{3}-6x^{2}+1}{x(x^{2}-1)}dx
integral of 5/((t^2-25)^2)	\int\:\frac{5}{(t^{2}-25)^{2}}dt
integral of (20x)/((x^2+1)^2)	\int\:\frac{20x}{(x^{2}+1)^{2}}dx
integral of (2x)/((2x-1)^2)	\int\:\frac{2x}{(2x-1)^{2}}dx
integral of 7cos(sqrt(2x))	\int\:7\cos(\sqrt{2x})dx
integral of (-1)^{x-1}	\int\:(-1)^{x-1}dx
integral of sqrt(1-2x)(x+2)	\int\:\sqrt{1-2x}(x+2)dx
integral of ((1+x^{1/3})^3)/(x^{1/2)}	\int\:\frac{(1+x^{\frac{1}{3}})^{3}}{x^{\frac{1}{2}}}dx
integral of (3x+5)/((2x^2+x+1)^2)	\int\:\frac{3x+5}{(2x^{2}+x+1)^{2}}dx
integral of (sin(x))/(1+sin^2(x/2))	\int\:\frac{\sin(x)}{1+\sin^{2}(\frac{x}{2})}dx
integral of ((2x+3))/(x^2+3x+1)	\int\:\frac{(2x+3)}{x^{2}+3x+1}dx
integral of xln(x)x	\int\:x\ln(x)xdx
integral of x18^x	\int\:x18^{x}dx
integral of (5x^6+3x^5+5x^3+4-e^x)	\int\:(5x^{6}+3x^{5}+5x^{3}+4-e^{x})dx
integral of 12-x-x^2	\int\:12-x-x^{2}dx
integral of (csc(θ))/(acsc(θ)-asin(θ))	\int\:\frac{\csc(θ)}{a\csc(θ)-a\sin(θ)}dθ
integral of (3x+2)/((x-3)^2)	\int\:\frac{3x+2}{(x-3)^{2}}dx
integral of x^2e^xsin(x)	\int\:x^{2}\cdot\:e^{x}\cdot\:\sin(x)dx
integral of 15csc(3x)cot(3x)	\int\:15\csc(3x)\cot(3x)dx
integral of sqrt(x)csc^2(sqrt(x^3))	\int\:\sqrt{x}\csc^{2}(\sqrt{x^{3}})dx
integral of cos^2(at)e^{-st}	\int\:\cos^{2}(at)e^{-st}dt
integral of (sin(θ))/(sqrt(4+cos^2(θ)))	\int\:\frac{\sin(θ)}{\sqrt{4+\cos^{2}(θ)}}dθ
integral of (2x^2+x+9)/((x+1)(x^2+4))	\int\:\frac{2x^{2}+x+9}{(x+1)(x^{2}+4)}dx
integral of 1/(x+sqrt(x+1))	\int\:\frac{1}{x+\sqrt{x+1}}dx
integral of (sin(3x))^7	\int\:(\sin(3x))^{7}dx
integral of 3x^{-6}	\int\:3x^{-6}dx
integral of \sqrt[3]{xsqrt(x)}	\int\:\sqrt[3]{x\sqrt{x}}dx
integral of sqrt(1-4^x)2^x	\int\:\sqrt{1-4^{x}}2^{x}dx
integral of 1/(sqrt((x+1)^3))	\int\:\frac{1}{\sqrt{(x+1)^{3}}}dx
integral of 4tan^2(x)sec(x)	\int\:4\tan^{2}(x)\sec(x)dx
integral of tan(x)-2	\int\:\tan(x)-2dx
integral of (x+3)csc^2(x^2+6x-4)	\int\:(x+3)\csc^{2}(x^{2}+6x-4)dx
integral of (sqrt(4x^2+1))/(x^4)	\int\:\frac{\sqrt{4x^{2}+1}}{x^{4}}dx
integral of xcos(5pix^2)	\int\:x\cos(5πx^{2})dx
integral of ze^x	\int\:ze^{x}dx
integral of [x*e^{-x}]	\int\:[x\cdot\:e^{-x}]dx
integral of 1-2t	\int\:1-2tdt
integral of (x^2-5x)	\int\:(x^{2}-5x)dx
integral of 1/(a^2-1)	\int\:\frac{1}{a^{2}-1}da
integral of tcosh(t)	\int\:t\cosh(t)dt
integral of (ln(x+1))/(\sqrt[3]{x+1)}	\int\:\frac{\ln(x+1)}{\sqrt[3]{x+1}}dx
integral of (5xe^x)	\int\:(5xe^{x})dx
integral of 1/(5+13sin(2x))	\int\:\frac{1}{5+13\sin(2x)}dx
integral of 3/(4x+1)	\int\:\frac{3}{4x+1}dx
integral of (x^2+17)/(sqrt(x^2+9))	\int\:\frac{x^{2}+17}{\sqrt{x^{2}+9}}dx
integral of 1/(c-x)	\int\:\frac{1}{c-x}dx
integral of 2^{x-1}cos(2^x)	\int\:2^{x-1}\cos(2^{x})dx
integral of (x+3)/(x-2)	integral\:\frac{x+3}{x-2}

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