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Popular Calculus Problems

integral of (x^4+x+1)/(x^2+x)	\int\:\frac{x^{4}+x+1}{x^{2}+x}dx
integral of (x^{-2})/(sqrt((2-x)(2+x)))	\int\:\frac{x^{-2}}{\sqrt{(2-x)(2+x)}}dx
integral of (10+2x^2+2y^2)	\int\:(10+2x^{2}+2y^{2})dx
integral of sqrt(v^2+2v)	\int\:\sqrt{v^{2}+2v}dv
integral of (sqrt(x+1))/(2x+3)	\int\:\frac{\sqrt{x+1}}{2x+3}dx
integral of x^22^{-x}	\int\:x^{2}2^{-x}dx
integral of (1+x)/(1+\sqrt[3]{x)}	\int\:\frac{1+x}{1+\sqrt[3]{x}}dx
integral of (10t)/(t^2+9)	\int\:\frac{10t}{t^{2}+9}dt
integral of \sqrt[3]{x^3+1}*3x^2	\int\:\sqrt[3]{x^{3}+1}\cdot\:3x^{2}dx
integral of (3t+1)/(t^2(t^2-1))	\int\:\frac{3t+1}{t^{2}(t^{2}-1)}dt
integral of (2x+1)/(x^2-2x+3)	\int\:\frac{2x+1}{x^{2}-2x+3}dx
integral of (1+x^2)/(2x)	\int\:\frac{1+x^{2}}{2x}dx
integral of (x^2+x+8)sqrt(x+2)	\int\:(x^{2}+x+8)\sqrt{x+2}dx
integral of (x^2)/(sqrt(12-5x^3))	\int\:\frac{x^{2}}{\sqrt{12-5x^{3}}}dx
integral of ((2x^3))/(x^2+x)	\int\:\frac{(2x^{3})}{x^{2}+x}dx
integral of 2sqrt(x)*1/x	\int\:2\sqrt{x}\cdot\:\frac{1}{x}dx
integral of 12sec(4x)tan(4x)	\int\:12\sec(4x)\tan(4x)dx
integral of cos(10x)sin(4x+1)	\int\:\cos(10x)\sin(4x+1)dx
integral of sin(x)sinh(x)	\int\:\sin(x)\sinh(x)dx
integral of x^2e^{-x}	integral\:x^{2}e^{-x}
integral of (x^2)/(x+9)	\int\:\frac{x^{2}}{x+9}dx
integral of (3x)/((x-1)^2)	\int\:\frac{3x}{(x-1)^{2}}dx
integral of (4/(x^3)+6sqrt(x))	\int\:(\frac{4}{x^{3}}+6\sqrt{x})dx
integral of x*sin(6x)	\int\:x\cdot\:\sin(6x)dx
integral of (e^x)/(e^{2x)+2e^x+2}	\int\:\frac{e^{x}}{e^{2x}+2e^{x}+2}dx
integral of 2x(6-x)	\int\:2x(6-x)dx
integral of (sqrt(1+x^2))/(3x)	\int\:\frac{\sqrt{1+x^{2}}}{3x}dx
integral of (sec^2(3x))/(1+4tan(3x))	\int\:\frac{\sec^{2}(3x)}{1+4\tan(3x)}dx
integral of sqrt(1+cos(a))	\int\:\sqrt{1+\cos(a)}da
integral of 2sqrt(x)	integral\:2\sqrt{x}
integral of e^x+7x	\int\:e^{x}+7xdx
integral of 4xsec^2(x^2)	\int\:4x\sec^{2}(x^{2})dx
integral of (5y^2)/(e^{2y^3)}	\int\:\frac{5y^{2}}{e^{2y^{3}}}dy
integral of ln^2(2x^2)	\int\:\ln^{2}(2x^{2})dx
integral of 8x^3e^{x^2}	\int\:8x^{3}e^{x^{2}}dx
integral of (x^5)/(x^6+9)	\int\:\frac{x^{5}}{x^{6}+9}dx
integral of x^4sqrt(13+x^5)	\int\:x^{4}\sqrt{13+x^{5}}dx
integral of x/((x^2+1)(x^4+1))	\int\:\frac{x}{(x^{2}+1)(x^{4}+1)}dx
integral of 5/2 xe^{3/2 x}	\int\:\frac{5}{2}xe^{\frac{3}{2}x}dx
integral of 5x^2+2	\int\:5x^{2}+2dx
integral of 1/(x*sqrt(x+1))	\int\:\frac{1}{x\cdot\:\sqrt{x+1}}dx
integral of 9z	\int\:9zdz
integral of (\sqrt[3]{h+1}+h-1)/h	\int\:\frac{\sqrt[3]{h+1}+h-1}{h}dh
integral of 1/((x-1)^4sqrt(x^2-2x))	\int\:\frac{1}{(x-1)^{4}\sqrt{x^{2}-2x}}dx
integral of (cos(θ))/(sin(θ)+2)	\int\:\frac{\cos(θ)}{\sin(θ)+2}dθ
integral of 7/(sqrt(9-25x^2))	\int\:\frac{7}{\sqrt{9-25x^{2}}}dx
integral of (6x)/(2+3x^2)	\int\:\frac{6x}{2+3x^{2}}dx
integral of (1-4x^4+x^3)/(x^3)	\int\:\frac{1-4x^{4}+x^{3}}{x^{3}}dx
integral of 8cos(t)+sec^2(t)	\int\:8\cos(t)+\sec^{2}(t)dt
integral of (24)/((x+2)^5)	\int\:\frac{24}{(x+2)^{5}}dx
integral of 3/(3x+4)	\int\:\frac{3}{3x+4}dx
integral of 1/(2sin^2(x)+cos^2(x))	\int\:\frac{1}{2\sin^{2}(x)+\cos^{2}(x)}dx
integral of x^2(4x^3-3)^8	\int\:x^{2}(4x^{3}-3)^{8}dx
integral of 1/(sqrt(x^2+4x+2))	\int\:\frac{1}{\sqrt{x^{2}+4x+2}}dx
integral of x^2(cos(x))	\int\:x^{2}(\cos(x))dx
integral of (cos(t))/((4sin(t)+12)^2)	\int\:\frac{\cos(t)}{(4\sin(t)+12)^{2}}dt
integral of cos^4(t)sin^2(t)	\int\:\cos^{4}(t)\sin^{2}(t)dt
integral of cos(x)sin(x))	\int\:\cos(x)d(\sin(x))dx
integral of x^2*5^{(x-1)}	\int\:x^{2}\cdot\:5^{(x-1)}dx
integral of e^{at}e^{-st}	\int\:e^{at}e^{-st}dt
integral of e^{-6x}x	\int\:e^{-6x}xdx
integral of 1/(yx)	\int\:\frac{1}{yx}dx
integral of ((8x-4))/(4x^2-4x+2)	\int\:\frac{(8x-4)}{4x^{2}-4x+2}dx
integral of (x^5+2)/x	\int\:\frac{x^{5}+2}{x}dx
integral of (x^2-1)/(x^4)	\int\:\frac{x^{2}-1}{x^{4}}dx
integral of sqrt((4x+4))	\int\:\sqrt{(4x+4)}dx
integral of ((x^2+3x+2)/(x+2))	\int\:(\frac{x^{2}+3x+2}{x+2})dx
integral of 0.5-cos(x)	\int\:0.5-\cos(x)dx
integral of 6x^5e^{9x^6}	\int\:6x^{5}e^{9x^{6}}dx
integral of ye^x+3	\int\:ye^{x}+3dx
integral of (sin(2x))/(2+sin(x))	\int\:\frac{\sin(2x)}{2+\sin(x)}dx
integral of e^{0.1t}	\int\:e^{0.1t}dt
integral of [arcsin(x)]^2	\int\:[\arcsin(x)]^{2}dx
integral of (3x^2+y)	\int\:(3x^{2}+y)dx
integral of (-1)/(cos^2(x))	\int\:\frac{-1}{\cos^{2}(x)}dx
integral of (x+2)(x-1)(x-3)	\int\:(x+2)(x-1)(x-3)dx
integral of (1+7e^x)	\int\:(1+7e^{x})dx
integral of (x-3)/(2x^3-8x)	\int\:\frac{x-3}{2x^{3}-8x}dx
integral of (2sin(w)-1)/(cos^2(w))	\int\:\frac{2\sin(w)-1}{\cos^{2}(w)}dw
integral of 2x^4+5x-5	\int\:2x^{4}+5x-5dx
integral of x^2sqrt(x^2+a^2)	\int\:x^{2}\sqrt{x^{2}+a^{2}}dx
integral of ((e^{1/x}+2))/(x^2)	\int\:\frac{(e^{\frac{1}{x}}+2)}{x^{2}}dx
integral of (1-2sin(θ))^2	\int\:(1-2\sin(θ))^{2}dθ
integral of 1/((3+sin(x)))	\int\:\frac{1}{(3+\sin(x))}dx
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 x*sqrt(x^2+9)	\int\:x\cdot\:\sqrt{x^{2}+9}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 (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

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