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Popular Calculus Problems

integral of ((2x+3))/(x^2+2x+5)	\int\:\frac{(2x+3)}{x^{2}+2x+5}dx
integral of 1/(5xlog_{3)(x)}	\int\:\frac{1}{5x\log_{3}(x)}dx
integral of (sqrt(2)+ln(x))/x	\int\:\frac{\sqrt{2}+\ln(x)}{x}dx
integral of (5x^2)/(sqrt(x^3-2))	\int\:\frac{5x^{2}}{\sqrt{x^{3}-2}}dx
integral of ((3x^2+6x+1)/x)	\int\:(\frac{3x^{2}+6x+1}{x})dx
integral of ((x^2)/(x-1))	\int\:(\frac{x^{2}}{x-1})dx
integral of (9x^3)/(x^3+1)	\int\:\frac{9x^{3}}{x^{3}+1}dx
integral of x/(sqrt(x^2-8x-7))	\int\:\frac{x}{\sqrt{x^{2}-8x-7}}dx
integral of (x^2+x+9)sqrt(x+7)	\int\:(x^{2}+x+9)\sqrt{x+7}dx
integral of ((x^2-3))/x	\int\:\frac{(x^{2}-3)}{x}dx
integral of (-1)/(sqrt(x^2-1))	\int\:\frac{-1}{\sqrt{x^{2}-1}}dx
integral of (pi-x)cos(pi)x	\int\:(π-x)\cos(π)xdx
integral of sqrt(5x)ln(x/5)	\int\:\sqrt{5x}\ln(\frac{x}{5})dx
integral of sec(t)(4sec(t)+5tan(t))	\int\:\sec(t)(4\sec(t)+5\tan(t))dt
integral of (x^{(3/2)}+2x+1)	\int\:(x^{(\frac{3}{2})}+2x+1)dx
integral of sin(4x)cos^2(4x)	\int\:\sin(4x)\cos^{2}(4x)dx
integral of (8x-13)/(x^2+2x+5)	\int\:\frac{8x-13}{x^{2}+2x+5}dx
integral of 1/(sqrt(x(4x-1)))	\int\:\frac{1}{\sqrt{x(4x-1)}}dx
integral of-6/(x^7)	\int\:-\frac{6}{x^{7}}dx
integral of sec(x)sin(2x)	\int\:\sec(x)\sin(2x)dx
integral of 45(1+x^2)(7+15x+5x^3)^{12}	\int\:45(1+x^{2})(7+15x+5x^{3})^{12}dx
integral of 2cos(6x)	\int\:2\cos(6x)dx
integral of 1/(2+t^2)	\int\:\frac{1}{2+t^{2}}dt
integral of arccot(x/n)	\int\:\arccot(\frac{x}{n})dx
integral of (tan^2(x)sec^2(x))	\int\:(\tan^{2}(x)\sec^{2}(x))dx
integral of-(50)/(x^3)	\int\:-\frac{50}{x^{3}}dx
integral of x/(sqrt(2+x^2))	\int\:\frac{x}{\sqrt{2+x^{2}}}dx
integral of (-1)/(sqrt(x+1)+\sqrt{x)}	\int\:\frac{-1}{\sqrt{x+1}+\sqrt{x}}dx
integral of ((t-t^2)^2)/(tsqrt(t))	\int\:\frac{(t-t^{2})^{2}}{t\sqrt{t}}dt
integral of (sqrt(1+1/x))/(x^2)	\int\:\frac{\sqrt{1+\frac{1}{x}}}{x^{2}}dx
integral of (ln(x))/((1+x^2)^{1.5)}	\int\:\frac{\ln(x)}{(1+x^{2})^{1.5}}dx
integral of (ln((e^x)/x))/(x)	\int\:\frac{\ln(\frac{e^{x}}{x})}{x}dx
integral of (e^x*sin(x))	\int\:(e^{x}\cdot\:\sin(x))dx
integral of (a^{1/x})/(x^2)	\int\:\frac{a^{\frac{1}{x}}}{x^{2}}dx
integral of (6x^2+3x)/(3x)	\int\:\frac{6x^{2}+3x}{3x}dx
integral of (3x^2)^2	\int\:(3x^{2})^{2}dx
integral of 2sec^2(θ)tan(θ)	\int\:2\sec^{2}(θ)\tan(θ)dθ
integral of (x^3)/(3x^4-5)	\int\:\frac{x^{3}}{3x^{4}-5}dx
integral of (2x^3+9x^2+14x+8)/((x^2+2x)(x^2+2))	\int\:\frac{2x^{3}+9x^{2}+14x+8}{(x^{2}+2x)(x^{2}+2)}dx
integral of 1/(x+1)	integral\:\frac{1}{x+1}
integral of (6e^x-x^3(sqrt(x)+1))	\int\:(6e^{x}-x^{3}(\sqrt{x}+1))dx
integral of (x^2+x+8)sqrt(x+7)	\int\:(x^{2}+x+8)\sqrt{x+7}dx
integral of (tanh^2(1/x))/(x^2)	\int\:\frac{\tanh^{2}(\frac{1}{x})}{x^{2}}dx
integral of (a-x)^2	\int\:(a-x)^{2}dx
integral of (5t^2+7)/(t^{4/3)}	\int\:\frac{5t^{2}+7}{t^{\frac{4}{3}}}dt
integral of (x^3+y^3)	\int\:(x^{3}+y^{3})dx
integral of xe^{x^2+3}	\int\:xe^{x^{2}+3}dx
integral of cos^3(3x)*sin^7(3x)	\int\:\cos^{3}(3x)\cdot\:\sin^{7}(3x)dx
integral of x/(sqrt(x)-1)	\int\:\frac{x}{\sqrt{x}-1}dx
integral of (x^3)/((x^2-1)^2)	\int\:\frac{x^{3}}{(x^{2}-1)^{2}}dx
integral of (sqrt(4x^2+1))/x	\int\:\frac{\sqrt{4x^{2}+1}}{x}dx
integral of 1/(x^2+b^2)	\int\:\frac{1}{x^{2}+b^{2}}dx
integral of (3x^2+6x+1)/x	\int\:\frac{3x^{2}+6x+1}{x}dx
integral of sinh(7x)	\int\:\sinh(7x)dx
integral of ((x^2-2)(x^2+6))/(3x^3)	\int\:\frac{(x^{2}-2)(x^{2}+6)}{3x^{3}}dx
integral of e^xsin(2x+1)	\int\:e^{x}\sin(2x+1)dx
integral of 1/(t^3)sin(t^{-2}-9)	\int\:\frac{1}{t^{3}}\sin(t^{-2}-9)dt
integral of (x-x^2)^2	\int\:(x-x^{2})^{2}dx
integral of (2-3x)^6	\int\:(2-3x)^{6}dx
integral of sin(ax)e^{bx}	\int\:\sin(ax)e^{bx}dx
integral of (x^2+x+c)/(x^3+9x^2+27x+27)	\int\:\frac{x^{2}+x+c}{x^{3}+9x^{2}+27x+27}dx
integral of (3x-2sqrt(x))/(sqrt(x))	\int\:\frac{3x-2\sqrt{x}}{\sqrt{x}}dx
integral of (2x+3y)	\int\:(2x+3y)dx
integral of tan^4(x/2)	\int\:\tan^{4}(\frac{x}{2})dx
integral of (2a)/(sqrt(x))	\int\:\frac{2a}{\sqrt{x}}dx
integral of x/(x^2-6x+13)	\int\:\frac{x}{x^{2}-6x+13}dx
integral of 3x^5e^{x^3}	\int\:3x^{5}e^{x^{3}}dx
integral of x^2e^{x^2y}	\int\:x^{2}e^{x^{2}y}dy
integral of (tan(x))^3*sec(x)	\int\:(\tan(x))^{3}\cdot\:\sec(x)dx
integral of (x+2)/(x^2-7x+12)	\int\:\frac{x+2}{x^{2}-7x+12}dx
integral of (y^3)/((2-5y^4)^{-7)}	\int\:\frac{y^{3}}{(2-5y^{4})^{-7}}dy
integral of sqrt(x)(x^2+1)	\int\:\sqrt{x}(x^{2}+1)dx
integral of x^3(7+x^4)^6	\int\:x^{3}(7+x^{4})^{6}dx
integral of 14xln(3x)	\int\:14x\ln(3x)dx
integral of x^2e^{(5+x^3)}	\int\:x^{2}e^{(5+x^{3})}dx
integral of sec^2(x)sin^3(x)	\int\:\sec^{2}(x)\sin^{3}(x)dx
integral of (6^x+1)/(2^x)	\int\:\frac{6^{x}+1}{2^{x}}dx
integral of arcsin(sqrt(x)))	\int\:d(\arcsin(\sqrt{x}))dx
integral of xsqrt(x^4+16)	\int\:x\sqrt{x^{4}+16}dx
integral of-3sec^2(x)	\int\:-3\sec^{2}(x)dx
integral of x/(4x^2+3)	\int\:\frac{x}{4x^{2}+3}dx
integral of (cos(4x))/(sin(4x))	\int\:\frac{\cos(4x)}{\sin(4x)}dx
integral of (x^{-2})/2	\int\:\frac{x^{-2}}{2}dx
integral of t(2t+7)^{1/3}	\int\:t(2t+7)^{\frac{1}{3}}dt
integral of x^{2n+1}	\int\:x^{2n+1}dx
integral of 4x^4e^{6x^5}	\int\:4x^{4}e^{6x^{5}}dx
integral of 1/(x^2-x-12)	\int\:\frac{1}{x^{2}-x-12}dx
integral of (3x+1)/(x^3+x)	\int\:\frac{3x+1}{x^{3}+x}dx
integral of 5^{2x}2	\int\:5^{2x}2dx
integral of (x^2)/(1+sqrt(1-x^2))	\int\:\frac{x^{2}}{1+\sqrt{1-x^{2}}}dx
integral of 1/(1+cos(x)-sin(x))	\int\:\frac{1}{1+\cos(x)-\sin(x)}dx
integral of ((-x-1))/(x^2+3)	\int\:\frac{(-x-1)}{x^{2}+3}dx
integral of xsqrt(8-2x^2)	\int\:x\sqrt{8-2x^{2}}dx
integral of (-2x+11)/(x^2-8x+25)	\int\:\frac{-2x+11}{x^{2}-8x+25}dx
integral of 1-2x^2	\int\:1-2x^{2}dx
integral of (1/(x+2))	\int\:(\frac{1}{x+2})dx
integral of (x+sqrt(x))^2+8e^{2x}	\int\:(x+\sqrt{x})^{2}+8e^{2x}dx
integral of 5/(sqrt(8x-x^2))	\int\:\frac{5}{\sqrt{8x-x^{2}}}dx
integral of x^3sqrt(x^2)	\int\:x^{3}\sqrt{x^{2}}dx
integral of sin^3(x)sec^3(x)	\int\:\sin^{3}(x)\sec^{3}(x)dx

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