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Popular Calculus Problems

integral of (21x)/(\sqrt[4]{10-x^2)}	\int\:\frac{21x}{\sqrt[4]{10-x^{2}}}dx
integral of-xcos(3x)	\int\:-x\cos(3x)dx
integral of (x+1)^2*3^{-x}	\int\:(x+1)^{2}\cdot\:3^{-x}dx
integral of (-6)/(3x)	\int\:\frac{-6}{3x}dx
integral of 1/(x(x^n+a))	\int\:\frac{1}{x(x^{n}+a)}dx
integral of 5pi\sqrt[3]{x^2}	\int\:5π\sqrt[3]{x^{2}}dx
integral of (-5x^{-2}+x)	\int\:(-5x^{-2}+x)dx
integral of ((sqrt(x)+4)^9)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+4)^{9}}{2\sqrt{x}}dx
integral of (6x+2)/(x^2+1)	\int\:\frac{6x+2}{x^{2}+1}dx
integral of 3x^3+6sqrt(x)+1/(x^3)	\int\:3x^{3}+6\sqrt{x}+\frac{1}{x^{3}}dx
integral of (sin^4(x))/(cos^4(x))	\int\:\frac{\sin^{4}(x)}{\cos^{4}(x)}dx
integral of (u-1)/(sqrt(u))	\int\:\frac{u-1}{\sqrt{u}}du
integral of 5/(sqrt(x+1)+\sqrt{x)}	\int\:\frac{5}{\sqrt{x+1}+\sqrt{x}}dx
integral of (sec(x)+csc^2(x))	\int\:(\sec(x)+\csc^{2}(x))dx
integral of θe^{-θx}	\int\:θe^{-θx}dx
integral of (1-e^{3x})^2	\int\:(1-e^{3x})^{2}dx
integral of 1/((sqrt(x^2+5))^3)	\int\:\frac{1}{(\sqrt{x^{2}+5})^{3}}dx
integral of (2+x)/(x^2+4)	\int\:\frac{2+x}{x^{2}+4}dx
integral of ((sqrt(x^2-25)))/x	\int\:\frac{(\sqrt{x^{2}-25})}{x}dx
integral of ln(x/y)	\int\:\ln(\frac{x}{y})dx
integral of xcos^2(6x)	\int\:x\cdot\:\cos^{2}(6\cdot\:x)dx
integral of (x-5)/(x^3-3x^2+4)	\int\:\frac{x-5}{x^{3}-3x^{2}+4}dx
integral of 2xe^{(x^2)/2}	\int\:2xe^{\frac{x^{2}}{2}}dx
integral of cos(xy)-xysin(xy)	\int\:\cos(xy)-xy\sin(xy)dx
integral of (((x^2-1))/x)^2	\int\:(\frac{(x^{2}-1)}{x})^{2}dx
integral of 2t	integral\:2t
integral of (3x^2+ycos(x))	\int\:(3x^{2}+y\cos(x))dx
integral of e^xcos(e^x)+(2x+2)/(x^2+2x)	\int\:e^{x}\cos(e^{x})+\frac{2x+2}{x^{2}+2x}dx
integral of-csc(5x+6)cot(5x+6)	\int\:-\csc(5x+6)\cot(5x+6)dx
integral of (2sin(x)+7sinh(x))	\int\:(2\sin(x)+7\sinh(x))dx
integral of ((4x^2+x))/((8x^3+3x^2)^2)	\int\:\frac{(4x^{2}+x)}{(8x^{3}+3x^{2})^{2}}dx
integral of-6e^t+3e^{3t}	\int\:-6e^{t}+3e^{3t}dt
integral of 1/(x^2(2+x^2))	\int\:\frac{1}{x^{2}(2+x^{2})}dx
integral of (7^3+6x^2-9x-8)	\int\:(7^{3}+6x^{2}-9x-8)dx
integral of (xcos(x^2))/(sin(x^2))	\int\:\frac{x\cos(x^{2})}{\sin(x^{2})}dx
integral of (sin(4x))/(cos^2(4x))	\int\:\frac{\sin(4x)}{\cos^{2}(4x)}dx
integral of x/2 e^{x^2}	\int\:\frac{x}{2}e^{x^{2}}dx
integral of (x-5)/(2^{x-1)}	\int\:\frac{x-5}{2^{x-1}}dx
integral of sec^n(x	\int\:\sec^{n}(d)xdx
integral of 10-1.5x^{1/2}	\int\:10-1.5x^{\frac{1}{2}}dx
integral of x^4ln(6x)	\int\:x^{4}\ln(6x)dx
integral of xe^{(-5x)}	\int\:xe^{(-5x)}dx
integral of (3-18x^2)csc^2(2x^3-x)	\int\:(3-18x^{2})\csc^{2}(2x^{3}-x)dx
integral of 4xtan(x^2)	\int\:4x\tan(x^{2})dx
integral of 3x*e^{-x}	\int\:3x\cdot\:e^{-x}dx
integral of cos(3x)cos(7x)	\int\:\cos(3x)\cos(7x)dx
integral of (1+x+arctan(x))/(1+x^2)	\int\:\frac{1+x+\arctan(x)}{1+x^{2}}dx
integral of (x^2+x-1)/(x^3-3x^2+3x-1)	\int\:\frac{x^{2}+x-1}{x^{3}-3x^{2}+3x-1}dx
integral of t^{5/2}(t^2-10t+16)	\int\:t^{\frac{5}{2}}(t^{2}-10t+16)dt
integral of (4sin(x)-3cos(x))	\int\:(4\sin(x)-3\cos(x))dx
integral of 6e^{-7x}	\int\:6e^{-7x}dx
integral of u/(sqrt(-u^2+9))	\int\:\frac{u}{\sqrt{-u^{2}+9}}du
integral of x^4+2sqrt(x)	\int\:x^{4}+2\sqrt{x}dx
integral of (x^2-e^{2x})	\int\:(x^{2}-e^{2x})dx
integral of 4x^2+2	\int\:4x^{2}+2dx
integral of (sin(x))/(cos(2x)cos(x))	\int\:\frac{\sin(x)}{\cos(2x)\cos(x)}dx
integral of 3sin(3x+2)	\int\:3\sin(3x+2)dx
integral of (2x+5)/(x^2+5x+2)	\int\:\frac{2x+5}{x^{2}+5x+2}dx
integral of sqrt(5+4x-x^2)+4	\int\:\sqrt{5+4x-x^{2}}+4dx
integral of (e^{2x}-e^{-2x})/(e^x)	\int\:\frac{e^{2x}-e^{-2x}}{e^{x}}dx
integral of e^{6x-4}	\int\:e^{6x-4}dx
integral of (1+4ytan^2(x))	\int\:(1+4y\tan^{2}(x))dy
integral of x/(sqrt(9-3x^2))	\int\:\frac{x}{\sqrt{9-3x^{2}}}dx
integral of (x^2-x-20)/(x-5)	\int\:\frac{x^{2}-x-20}{x-5}dx
integral of (x^2+7)(sqrt(x)-7)	\int\:(x^{2}+7)(\sqrt{x}-7)dx
integral of (x^4+2x^3)/(x^3)	\int\:\frac{x^{4}+2x^{3}}{x^{3}}dx
integral of (x/3-3/x)	\int\:(\frac{x}{3}-\frac{3}{x})dx
integral of uln(u)	\int\:u\ln(u)du
integral of 2xsqrt(x-4)	\int\:2x\sqrt{x-4}dx
integral of (3x-1)/(x^2-2x+10)	\int\:\frac{3x-1}{x^{2}-2x+10}dx
integral of (1-2x)/(2x^2+x+1)	\int\:\frac{1-2x}{2x^{2}+x+1}dx
integral of x/(ln^3(x))	\int\:\frac{x}{\ln^{3}(x)}dx
integral of 1/(16-4x^2)	\int\:\frac{1}{16-4x^{2}}dx
integral of (6-x^3)/(xsqrt(x))	\int\:\frac{6-x^{3}}{x\sqrt{x}}dx
integral of (2x+8)/(x^3+x^2)	\int\:\frac{2x+8}{x^{3}+x^{2}}dx
integral of x^3-sec^2(x)	\int\:x^{3}-\sec^{2}(x)dx
integral of 0/(x-1)	\int\:\frac{0}{x-1}dx
integral of ((x-5)^2)/(x-5)	\int\:\frac{(x-5)^{2}}{x-5}dx
integral of (xy)/(sqrt(1+x^2))	\int\:\frac{xy}{\sqrt{1+x^{2}}}dx
integral of 11xsqrt(x^2+5)	\int\:11x\sqrt{x^{2}+5}dx
integral of-2/5 e^{3-2x}	\int\:-\frac{2}{5}e^{3-2x}dx
integral of ((4-sqrt(x))^2)/(sqrt(x))	\int\:\frac{(4-\sqrt{x})^{2}}{\sqrt{x}}dx
integral of x/((3x^2+2)^3)	\int\:\frac{x}{(3x^{2}+2)^{3}}dx
integral of (3x^2)/(sqrt(x))	\int\:\frac{3x^{2}}{\sqrt{x}}dx
integral of (4x+2)sqrt(x^2+x)	\int\:(4x+2)\sqrt{x^{2}+x}dx
integral of e^{i2x}	\int\:e^{i2x}dx
integral of-2xsqrt(25-x^2)	\int\:-2x\sqrt{25-x^{2}}dx
integral of 1/(x(2+x^8))	\int\:\frac{1}{x(2+x^{8})}dx
integral of (csc^2(x)+2)	\int\:(\csc^{2}(x)+2)dx
integral of (3x-2)/x	\int\:\frac{3x-2}{x}dx
integral of (8x^5-3x^3-4x^2+6x+3)	\int\:(8x^{5}-3x^{3}-4x^{2}+6x+3)dx
integral of 3/(x*ln^2(3x))	\int\:\frac{3}{x\cdot\:\ln^{2}(3x)}dx
integral of (x^2+x)^6(2x+1)	\int\:(x^{2}+x)^{6}(2x+1)dx
integral of x^27^{x^3+5}	\int\:x^{2}7^{x^{3}+5}dx
integral of (3x-1)(6x^2-4x+1)^{1/3}	\int\:(3x-1)(6x^{2}-4x+1)^{\frac{1}{3}}dx
integral of-8cot(x)csc(x)+5e^x	\int\:-8\cot(x)\csc(x)+5e^{x}dx
integral of x^{11}ln(5x^6)	\int\:x^{11}\ln(5x^{6})dx
integral of (1+y^2)/(2-y)	\int\:\frac{1+y^{2}}{2-y}dy
integral of (x^2y^3)	\int\:(x^{2}y^{3})dx
integral of 5x^4cos(x^5)	\int\:5x^{4}\cos(x^{5})dx

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