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Popular Calculus Problems

integral of (e^y-e^{2x})	\int\:(e^{y}-e^{2x})dx
integral of (2+sqrt(x))^2	\int\:(2+\sqrt{x})^{2}dx
integral of 1/4 sin^2(x)	\int\:\frac{1}{4}\sin^{2}(x)dx
integral of 10x\sqrt[3]{x^2-2}	\int\:10x\sqrt[3]{x^{2}-2}dx
integral of 6xsin(5x)	\int\:6x\sin(5x)dx
integral of (x^3+6x^2-4x+5)	\int\:(x^{3}+6x^{2}-4x+5)dx
integral of 2/9	\int\:\frac{2}{9}dx
integral of (2x^2)/(x+1)	\int\:\frac{2x^{2}}{x+1}dx
integral of (sqrt(1+x^2))/(2x)	\int\:\frac{\sqrt{1+x^{2}}}{2x}dx
integral of sin(5y)	\int\:\sin(5y)dy
integral of e^xsqrt(10+e^x)	\int\:e^{x}\sqrt{10+e^{x}}dx
integral of 8/pi sin((4x)/pi)	\int\:\frac{8}{π}\sin(\frac{4x}{π})dx
integral of (x^2)/((4-x^2))	\int\:\frac{x^{2}}{(4-x^{2})}dx
integral of 2/((2x-4)ln(2x-4))	\int\:\frac{2}{(2x-4)\ln(2x-4)}dx
integral of 1/(y-6)	\int\:\frac{1}{y-6}dy
integral of sqrt(x)+sin(x)	\int\:\sqrt{x}+\sin(x)dx
integral of 1/(\sqrt[3]{x^7)}	\int\:\frac{1}{\sqrt[3]{x^{7}}}dx
integral of e^{5x-6}	\int\:e^{5x-6}dx
integral of (2y+x)	\int\:(2y+x)dx
integral of (x^4)/(6-x^5)	\int\:\frac{x^{4}}{6-x^{5}}dx
integral of-2/5 xe^{-x}	\int\:-\frac{2}{5}xe^{-x}dx
integral of 1/(x(49+ln^2(x)))	\int\:\frac{1}{x(49+\ln^{2}(x))}dx
integral of (3+3tan^2(θ))	\int\:(3+3\tan^{2}(θ))dθ
integral of e^{-x}+e^x	\int\:e^{-x}+e^{x}dx
integral of (ln^4(x))/(x(ln^2(x)+1))	\int\:\frac{\ln^{4}(x)}{x(\ln^{2}(x)+1)}dx
integral of (49-x^2)^{1/2}	\int\:(49-x^{2})^{\frac{1}{2}}dx
integral of 1/((x^2+6x+34)^{3/2)}	\int\:\frac{1}{(x^{2}+6x+34)^{\frac{3}{2}}}dx
integral of 4/((4-x)^2)	\int\:\frac{4}{(4-x)^{2}}dx
integral of (8x)/(sqrt(x^5))	\int\:\frac{8x}{\sqrt{x^{5}}}dx
integral of (1+5x)^3	\int\:(1+5x)^{3}dx
integral of 9000e^{0.06x}	\int\:9000e^{0.06x}dx
integral of xarctan(-x)	\int\:x\arctan(-x)dx
integral of sqrt(49x^2-441)	\int\:\sqrt{49x^{2}-441}dx
integral of 1/(tanh(x))	\int\:\frac{1}{\tanh(x)}dx
integral of cos(pi/2)t	\int\:\cos(\frac{π}{2})tdt
integral of 3ex	\int\:3exdx
integral of 8x^{3/4}	\int\:8x^{\frac{3}{4}}dx
integral of (x^2)/(3x)	\int\:\frac{x^{2}}{3x}dx
integral of (x-4)/((x-1)(x^2+1))	\int\:\frac{x-4}{(x-1)(x^{2}+1)}dx
integral of (ln(x^{16}))/x	\int\:\frac{\ln(x^{16})}{x}dx
integral of (x^4-2x^2)^6(x^3-x)	\int\:(x^{4}-2x^{2})^{6}(x^{3}-x)dx
integral of 1/(5+4x+x^2)	\int\:\frac{1}{5+4x+x^{2}}dx
integral of (-x+1)/(x^2-x+1)	\int\:\frac{-x+1}{x^{2}-x+1}dx
integral of sqrt(1+16x)	\int\:\sqrt{1+16x}dx
integral of 2/(3+3e^x)	\int\:\frac{2}{3+3e^{x}}dx
integral of (x+2)sin(4x)	\int\:(x+2)\sin(4x)dx
integral of (5e(5sin(4x)))/(sec(4x))	\int\:\frac{5e(5\sin(4x))}{\sec(4x)}dx
integral of x^2sqrt(9-x)	\int\:x^{2}\sqrt{9-x}dx
integral of 8^{3x}	\int\:8^{3x}dx
integral of (3x^2)/((6-5x^3)^4)	\int\:\frac{3x^{2}}{(6-5x^{3})^{4}}dx
integral of 3t^3-t	\int\:3t^{3}-tdt
integral of (4x^3)/((x^4+7)^2)	\int\:\frac{4x^{3}}{(x^{4}+7)^{2}}dx
integral of t^{(-1)/2}(t^2-t+2)	\int\:t^{\frac{-1}{2}}(t^{2}-t+2)dt
integral of (2x^2-3x-3)/(x^3-3x^2+7x-5)	\int\:\frac{2x^{2}-3x-3}{x^{3}-3x^{2}+7x-5}dx
integral of ln(5sqrt(x))	\int\:\ln(5\sqrt{x})dx
integral of-1/(3x^3)	\int\:-\frac{1}{3x^{3}}dx
integral of ((e^u))/((2-e^u)^2)	\int\:\frac{(e^{u})}{(2-e^{u})^{2}}du
integral of 3/((1+x^2))	\int\:\frac{3}{(1+x^{2})}dx
integral of (4x^5)/(sqrt(1-16x^6))	\int\:\frac{4x^{5}}{\sqrt{1-16x^{6}}}dx
integral of sin(4)	\int\:\sin(4)dx
integral of-cos(x)tan(x)	\int\:-\cos(x)\tan(x)dx
integral of x(1+x^2)arctan(x)	\int\:x(1+x^{2})\arctan(x)dx
integral of 1/(9x+2)	\int\:\frac{1}{9x+2}dx
integral of-4xcos(x/2)	\int\:-4x\cos(\frac{x}{2})dx
integral of 4x-6x^2	\int\:4x-6x^{2}dx
integral of x*tan(x/3)	\int\:x\cdot\:\tan(\frac{x}{3})dx
integral of 1/(x^2)(sqrt(1+1/x))	\int\:\frac{1}{x^{2}}(\sqrt{1+\frac{1}{x}})dx
integral of (-6x)/(x^2+1)	\int\:\frac{-6x}{x^{2}+1}dx
integral of y/(1-y)	\int\:\frac{y}{1-y}dy
integral of 2/(\sqrt[4]{x^5)}	\int\:\frac{2}{\sqrt[4]{x^{5}}}dx
integral of 1/2 e^{2x}2x	\int\:\frac{1}{2}e^{2x}2xdx
integral of (9/(x^2))	\int\:(\frac{9}{x^{2}})dx
integral of 8tan(2x)ln(cos(2x))	\int\:8\tan(2x)\ln(\cos(2x))dx
integral of (\sqrt[4]{1-u^{-1}})/(u^2)	\int\:\frac{\sqrt[4]{1-u^{-1}}}{u^{2}}du
integral of (2x)/((x^2+1)(x^2+3))	\int\:\frac{2x}{(x^{2}+1)(x^{2}+3)}dx
integral of 9ye^{6y^2}	\int\:9ye^{6y^{2}}dy
integral of cos(3pix)	\int\:\cos(3πx)dx
integral of (ln(tan(x)))/(sin(x)*cos(x))	\int\:\frac{\ln(\tan(x))}{\sin(x)\cdot\:\cos(x)}dx
integral of x^9*e^{-x^5}	\int\:x^{9}\cdot\:e^{-x^{5}}dx
integral of e^{tan(12x)}sec^2(12x)	\int\:e^{\tan(12x)}\sec^{2}(12x)dx
integral of (5x-4)/(x^2+4x+3)	\int\:\frac{5x-4}{x^{2}+4x+3}dx
integral of 2(1+sqrt(x-1))^3	\int\:2(1+\sqrt{x-1})^{3}dx
integral of xsin(x)-x	\int\:x\sin(x)-xdx
integral of-1/(y^3)	\int\:-\frac{1}{y^{3}}dy
integral of (x^3+1)^4x^2	\int\:(x^{3}+1)^{4}x^{2}dx
integral of 1/(T^2)	\int\:\frac{1}{T^{2}}dT
integral of xe^{-(x/2)^2}	\int\:xe^{-(\frac{x}{2})^{2}}dx
integral of 8/x-5e^x	\int\:\frac{8}{x}-5e^{x}dx
integral of (7x)/(5x^2-3)	\int\:\frac{7x}{5x^{2}-3}dx
integral of ((-7)/x+e^{9x}+9/4)	\int\:(\frac{-7}{x}+e^{9x}+\frac{9}{4})dx
integral of 2xcos(x^2+1)	\int\:2x\cos(x^{2}+1)dx
integral of ()(e^{2t}x)	\int\:\frac{d}{dt}(e^{2t}x)dt
integral of x(x^2+3)^8	\int\:x(x^{2}+3)^{8}dx
integral of 48-3x^2	\int\:48-3x^{2}dx
integral of (12-8x)^3	\int\:(12-8x)^{3}dx
integral of (x^2)/(x^3+6)	\int\:\frac{x^{2}}{x^{3}+6}dx
integral of x^2(5+2x^3)^2	\int\:x^{2}(5+2x^{3})^{2}dx
integral of (x^4)/(x^4+1)	\int\:\frac{x^{4}}{x^{4}+1}dx
integral of 1/(x-e)	\int\:\frac{1}{x-e}dx
integral of ((t-1))/(sqrt(t^2-2t))	\int\:\frac{(t-1)}{\sqrt{t^{2}-2t}}dt

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