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Popular Calculus Problems

integral of x/(x^4+2x^2+5)	\int\:\frac{x}{x^{4}+2x^{2}+5}dx
integral of 1/(sqrt(1-\frac{x^2){100)}}	\int\:\frac{1}{\sqrt{1-\frac{x^{2}}{100}}}dx
integral of x(1-x^2)^{1/2}	\int\:x(1-x^{2})^{\frac{1}{2}}dx
integral of 2x+sin(x)+C	\int\:2x+\sin(x)+Cdx
integral of 3/((x+1)(x-2))	\int\:\frac{3}{(x+1)(x-2)}dx
integral of x(x^2+2)^3	\int\:x(x^{2}+2)^{3}dx
integral of (2x+3)*(x^2+3x)^5	\int\:(2x+3)\cdot\:(x^{2}+3x)^{5}dx
integral of (5x^4)/((7+x^5)^4)	\int\:\frac{5x^{4}}{(7+x^{5})^{4}}dx
integral of x/((cos(x))^2)	\int\:\frac{x}{(\cos(x))^{2}}dx
integral of (16x^2)/(sqrt(9-4x^2))	\int\:\frac{16x^{2}}{\sqrt{9-4x^{2}}}dx
integral of (x^3)/(sqrt(4x^2+25))	\int\:\frac{x^{3}}{\sqrt{4x^{2}+25}}dx
integral of 4x^5e^x	\int\:4x^{5}e^{x}dx
integral of (x^4+x)/(sqrt(x))	\int\:\frac{x^{4}+x}{\sqrt{x}}dx
integral of cos(x^2)	integral\:\cos(x^{2})
integral of (sin(1/(x^5)))/(x^6)	\int\:\frac{\sin(\frac{1}{x^{5}})}{x^{6}}dx
integral of xsqrt(2+x^2)	\int\:x\sqrt{2+x^{2}}dx
integral of (x^2-1/(x^2))	\int\:(x^{2}-\frac{1}{x^{2}})dx
integral of (cos(2x))/(1+sin(x)cos(x))	\int\:\frac{\cos(2x)}{1+\sin(x)\cos(x)}dx
integral of 1/((e^x+1)^2)	\int\:\frac{1}{(e^{x}+1)^{2}}dx
integral of 1/(2+sin^2(x))	\int\:\frac{1}{2+\sin^{2}(x)}dx
integral of (sin(x))/((2+3cos(x))^2)	\int\:\frac{\sin(x)}{(2+3\cos(x))^{2}}dx
integral of sqrt((5x+3))	\int\:\sqrt{(5x+3)}dx
integral of sqrt(x)(3x-2/x)	\int\:\sqrt{x}(3x-\frac{2}{x})dx
integral of (-4)/(x(ln(x))^4)	\int\:\frac{-4}{x(\ln(x))^{4}}dx
integral of 2x	integral\:2x
integral of (4x)/((2x^2+5)^4)	\int\:\frac{4x}{(2x^{2}+5)^{4}}dx
integral of (x^2)/(5-x^6)	\int\:\frac{x^{2}}{5-x^{6}}dx
integral of (1+tan(x))/(1-cos(x))	\int\:\frac{1+\tan(x)}{1-\cos(x)}dx
integral of e^{-x}sin^2(2x)	\int\:e^{-x}\sin^{2}(2x)dx
integral of (8/x-5/(x^2)+6/(x^3))	\int\:(\frac{8}{x}-\frac{5}{x^{2}}+\frac{6}{x^{3}})dx
integral of (2x^2+3x+2)sin(3x)	\int\:(2x^{2}+3x+2)\sin(3x)dx
integral of 3/(x(ln(x))^3)	\int\:\frac{3}{x(\ln(x))^{3}}dx
integral of (x+2)/(x^2sqrt(1-x^2))	\int\:\frac{x+2}{x^{2}\sqrt{1-x^{2}}}dx
integral of x(5-x)^5	\int\:x(5-x)^{5}dx
integral of 1/(x^2)sin(3/x)cos(3/x)	\int\:\frac{1}{x^{2}}\sin(\frac{3}{x})\cos(\frac{3}{x})dx
integral of x(5-x)^9	\int\:x(5-x)^{9}dx
integral of (3x+2)/(x^2-4x+20)	\int\:\frac{3x+2}{x^{2}-4x+20}dx
integral of x^2(x^3+10)^{10}	\int\:x^{2}(x^{3}+10)^{10}dx
integral of x^2cos(pix)	\int\:x^{2}\cos(πx)dx
integral of cos(x)-2pisin(x)	\int\:\cos(x)-2π\sin(x)dx
integral of e^{5x}sin(e^{5x})	\int\:e^{5x}\sin(e^{5x})dx
integral of 1/(sqrt(x)\sqrt{1+\sqrt{x)}}	\int\:\frac{1}{\sqrt{x}\sqrt{1+\sqrt{x}}}dx
integral of (x^2-x-2)/(x^4+2x^3+2x^2)	\int\:\frac{x^{2}-x-2}{x^{4}+2x^{3}+2x^{2}}dx
integral of xcos(m)x	\int\:x\cos(m)xdx
integral of 1/(x(9x^2-1)^2)	\int\:\frac{1}{x(9x^{2}-1)^{2}}dx
integral of (e^{2x+3})/(e^{1-x)}	\int\:\frac{e^{2x+3}}{e^{1-x}}dx
integral of (termo,j)	\int\:(termo,j)dy
integral of (2^x+x^2)	\int\:(2^{x}+x^{2})dx
integral of (2-7x)^3	\int\:(2-7x)^{3}dx
integral of (cos(x))/(sin^2(x)-2sin(x)-8)	\int\:\frac{\cos(x)}{\sin^{2}(x)-2\sin(x)-8}dx
integral of sec((4x)/3)	\int\:\sec(\frac{4x}{3})dx
integral of (-5)/(x(ln(x))^4)	\int\:\frac{-5}{x(\ln(x))^{4}}dx
integral of x/((x+2)(x+3)^2)	\int\:\frac{x}{(x+2)(x+3)^{2}}dx
integral of e^{3x}(x-1)	\int\:e^{3x}(x-1)dx
integral of (sin(2x))/(1+sin^4(x))	\int\:\frac{\sin(2x)}{1+\sin^{4}(x)}dx
integral of cos(2x+1)x	\int\:\cos(2x+1)xdx
integral of 1/(sqrt(x^2+2x+3))	\int\:\frac{1}{\sqrt{x^{2}+2x+3}}dx
integral of (x^3)/((1+x^2)^2)	\int\:\frac{x^{3}}{(1+x^{2})^{2}}dx
integral of (x^5)/(1+x^2)	\int\:\frac{x^{5}}{1+x^{2}}dx
integral of cos(x))	\int\:d(\cos(x))dx
integral of 1/((x-1)^2(x^2+1))	\int\:\frac{1}{(x-1)^{2}(x^{2}+1)}dx
integral of 3x+sin(x)	\int\:3x+\sin(x)dx
integral of cos(x)sin(x)cos(sin^2(x))	\int\:\cos(x)\sin(x)\cos(\sin^{2}(x))dx
integral of (x+2)/(x^2+3x+4)	\int\:\frac{x+2}{x^{2}+3x+4}dx
integral of cos(2x-6)	\int\:\cos(2x-6)dx
integral of (1-cot(2x))^2	\int\:(1-\cot(2x))^{2}dx
integral of sin(4y)cos(5y)	\int\:\sin(4y)\cos(5y)dy
integral of (x^6+1)/(sqrt(x^7+7x))	\int\:\frac{x^{6}+1}{\sqrt{x^{7}+7x}}dx
integral of 1/(x(1+2sqrt(x)))	\int\:\frac{1}{x(1+2\sqrt{x})}dx
integral of 4axe^{ax^2}	\int\:4axe^{ax^{2}}dx
integral of (-5)/(x(ln(x))^2)	\int\:\frac{-5}{x(\ln(x))^{2}}dx
integral of sin(3x)+cos(3x)	\int\:\sin(3x)+\cos(3x)dx
integral of (27x^3)/(sqrt(9x^2+16))	\int\:\frac{27x^{3}}{\sqrt{9x^{2}+16}}dx
integral of x(x+4)^5	\int\:x(x+4)^{5}dx
integral of x^2sin(x^3+1)	\int\:x^{2}\sin(x^{3}+1)dx
integral of 9xsqrt(x-8)	\int\:9x\sqrt{x-8}dx
integral of x/(\sqrt[3]{1-3x)}	\int\:\frac{x}{\sqrt[3]{1-3x}}dx
integral of (sin^2(x))/(tan(x))	\int\:\frac{\sin^{2}(x)}{\tan(x)}dx
integral of (-2x+4)/((x^2+1)(x-1))	\int\:\frac{-2x+4}{(x^{2}+1)(x-1)}dx
integral of csc(x/2)cot(x/2)	\int\:\csc(\frac{x}{2})\cot(\frac{x}{2})dx
integral of 1/(x^2+x-2x)	\int\:\frac{1}{x^{2}+x-2x}dx
integral of a^{sin(x)}cos(x)	\int\:a^{\sin(x)}\cos(x)dx
integral of (x-1)/(x^2-2x+5)	\int\:\frac{x-1}{x^{2}-2x+5}dx
integral of (x-1)/(9x^2-18x+17)	\int\:\frac{x-1}{9x^{2}-18x+17}dx
integral of (5x)/(9-x^2)	\int\:\frac{5x}{9-x^{2}}dx
integral of 1/(sqrt(2x^2-8))	\int\:\frac{1}{\sqrt{2x^{2}-8}}dx
integral of 5^x	integral\:5^{x}
integral of x^2sqrt(x^3-2)	\int\:x^{2}\sqrt{x^{3}-2}dx
integral of (sec^6(x))/(tan^5(x))	\int\:\frac{\sec^{6}(x)}{\tan^{5}(x)}dx
integral of (3-2x)sin(5-4x)	\int\:(3-2x)\sin(5-4x)dx
integral of 3^x	integral\:3^{x}
integral of (2x-3)/(x^2-3x+8)	\int\:\frac{2x-3}{x^{2}-3x+8}dx
integral of (1+ln(x))/((xln(x))2)	\int\:\frac{1+\ln(x)}{(x\ln(x))2}dx
integral of (e^{3x})/(1-e^{3x)}	\int\:\frac{e^{3x}}{1-e^{3x}}dx
integral of (x^3-3x+2)	\int\:(x^{3}-3x+2)dx
integral of (e^x)/((3-e^x)^2)	\int\:\frac{e^{x}}{(3-e^{x})^{2}}dx
integral of 5xcos(pix)	\int\:5x\cos(πx)dx
integral of-sin(x)+3cos(x)-1/x	\int\:-\sin(x)+3\cos(x)-\frac{1}{x}dx
integral of (x-3)csc^2(x)	\int\:(x-3)\csc^{2}(x)dx
integral of (x^2+1)/(x^2-4)	\int\:\frac{x^{2}+1}{x^{2}-4}dx

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