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Popular Calculus Problems

integral of xln(2x)-x	\int\:x\ln(2x)-xdx
integral of (3x^2+x/6)	\int\:(3x^{2}+\frac{x}{6})dx
integral of x^4ycos(y^2)	\int\:x^{4}y\cos(y^{2})dy
integral of (6x)/(sqrt(3-8x^4))	\int\:\frac{6x}{\sqrt{3-8x^{4}}}dx
integral of 1/(x+2sqrt(x+3))	\int\:\frac{1}{x+2\sqrt{x+3}}dx
integral of (2x+5)/(x-1)	\int\:\frac{2x+5}{x-1}dx
integral of ae^{-ax}	\int\:a\cdot\:e^{-a\cdot\:x}dx
integral of (x^3+8)/x	\int\:\frac{x^{3}+8}{x}dx
integral of (x^3)/(x-3)	\int\:\frac{x^{3}}{x-3}dx
integral of x^3sqrt(4-36x^2)	\int\:x^{3}\sqrt{4-36x^{2}}dx
integral of 1/((x+1)^2+3)	\int\:\frac{1}{(x+1)^{2}+3}dx
integral of 1/(12+4x-x^2)	\int\:\frac{1}{12+4x-x^{2}}dx
integral of 1/((x^2+4)^2)	integral\:\frac{1}{(x^{2}+4)^{2}}
integral of 5cos^6(x)sin^2(x)	\int\:5\cos^{6}(x)\sin^{2}(x)dx
integral of 2xsqrt(10x-x^2)	\int\:2x\sqrt{10x-x^{2}}dx
integral of (3x)/((3x^2-1)^4)	\int\:\frac{3x}{(3x^{2}-1)^{4}}dx
integral of (2x-5)/(x(x-1)^3)	\int\:\frac{2x-5}{x(x-1)^{3}}dx
integral of (y^2+3)/(y-4)	\int\:\frac{y^{2}+3}{y-4}dy
integral of sin(x)*sec(x)	\int\:\sin(x)\cdot\:\sec(x)dx
integral of 1/(8-2x)	\int\:\frac{1}{8-2x}dx
integral of 8/(xsqrt(1+2x))	\int\:\frac{8}{x\sqrt{1+2x}}dx
integral of (2x-1)/((x-1)^2)	\int\:\frac{2x-1}{(x-1)^{2}}dx
integral of cos(x)ln\|sin(x)\|	\int\:\cos(x)\ln\left\|\sin(x)\right\|dx
integral of (2/x+4/(x^3))	\int\:(\frac{2}{x}+\frac{4}{x^{3}})dx
integral of 1/((a+x))	\int\:\frac{1}{(a+x)}dx
integral of+0.0025x-0.075	\int\:+0.0025x-0.075dx
integral of (x^3-4x-1)/(x^2)	\int\:\frac{x^{3}-4x-1}{x^{2}}dx
integral of sqrt(-x^2+2x+2)	\int\:\sqrt{-x^{2}+2x+2}dx
integral of (2x^5)/(x^6+5)	\int\:\frac{2x^{5}}{x^{6}+5}dx
integral of e^{3+3y}	\int\:e^{3+3y}dy
integral of 5/6	\int\:\frac{5}{6}dx
integral of (x^2)/((x^2-9)^2)	\int\:\frac{x^{2}}{(x^{2}-9)^{2}}dx
integral of x/((x-1)(2x+5)^2(3x-1)^2)	\int\:\frac{x}{(x-1)(2x+5)^{2}(3x-1)^{2}}dx
integral of (5x^2)/((1-x^2)^{5/2)}	\int\:\frac{5x^{2}}{(1-x^{2})^{\frac{5}{2}}}dx
integral of cos(3/2)x	\int\:\cos(\frac{3}{2})xdx
integral of (6x+1)/(x^2+1)	\int\:\frac{6x+1}{x^{2}+1}dx
integral of sqrt((x^2-1))	\int\:\sqrt{(x^{2}-1)}dx
integral of+(x+15)/(x^2+16x+68)	\int\:+\frac{x+15}{x^{2}+16x+68}dx
integral of 3x^{-1/3}-1/(sqrt(x))	\int\:3x^{-\frac{1}{3}}-\frac{1}{\sqrt{x}}dx
integral of sqrt(4x^2+17)	\int\:\sqrt{4x^{2}+17}dx
integral of tsinh(t^2)	\int\:t\sinh(t^{2})dt
integral of 1/(1-sec(t))	\int\:\frac{1}{1-\sec(t)}dt
integral of (e^x)/(e^{2x)+12e^x+27}	\int\:\frac{e^{x}}{e^{2x}+12e^{x}+27}dx
integral of (x^2+x)/(e^x)	\int\:\frac{x^{2}+x}{e^{x}}dx
integral of (6z^2)	\int\:(6z^{2})dz
integral of (In(x))/x	\int\:\frac{In(x)}{x}dx
integral of 15θsec^2(θ)	\int\:15θ\sec^{2}(θ)dθ
integral of 13xe^{-2x}	\int\:13xe^{-2x}dx
integral of xe^{9-x}	\int\:xe^{9-x}dx
integral of (1+cos(θ))^3sin(θ)	\int\:(1+\cos(θ))^{3}\sin(θ)dθ
integral of (x^2+1)(x^2-1)	\int\:(x^{2}+1)(x^{2}-1)dx
integral of 3/(u^2)	\int\:\frac{3}{u^{2}}du
integral of ((x+1))/(x^4+3x^2)	\int\:\frac{(x+1)}{x^{4}+3x^{2}}dx
integral of (cos^2(x)sin^2(x))	\int\:(\cos^{2}(x)\sin^{2}(x))dx
integral of (sqrt(x)-4)	\int\:(\sqrt{x}-4)dx
integral of (x^5+3x)/(x^4+1)	\int\:\frac{x^{5}+3x}{x^{4}+1}dx
integral of (3x)/((x+5)(2x-1))	\int\:\frac{3x}{(x+5)(2x-1)}dx
integral of (-(csc(x)cot(x))/6)	\int\:(-\frac{\csc(x)\cot(x)}{6})dx
integral of (x^2+7)/x	\int\:\frac{x^{2}+7}{x}dx
integral of x*10^x	\int\:x\cdot\:10^{x}dx
integral of e^{2t}arctan(e^t)	\int\:e^{2t}\arctan(e^{t})dt
integral of (x+2)sqrt(x+4)	\int\:(x+2)\sqrt{x+4}dx
integral of t^3sin(t^4)	\int\:t^{3}\sin(t^{4})dt
integral of (-8t^5)/(sqrt(t^2+2))	\int\:\frac{-8t^{5}}{\sqrt{t^{2}+2}}dt
integral of (x^2)/((x+1)^2(x-1))	\int\:\frac{x^{2}}{(x+1)^{2}(x-1)}dx
integral of 18sin^5(x)	\int\:18\sin^{5}(x)dx
integral of 1/(6-x^2)	\int\:\frac{1}{6-x^{2}}dx
integral of (3x+2)/((6x^2+8x)^5)	\int\:\frac{3x+2}{(6x^{2}+8x)^{5}}dx
integral of+ze^{2z}	\int\:+ze^{2z}dz
integral of 9x^3sin(x^2)	\int\:9x^{3}\sin(x^{2})dx
integral of 2/(xsqrt(1-x^2))	\int\:\frac{2}{x\sqrt{1-x^{2}}}dx
integral of (-x)/(x^2)	\int\:\frac{-x}{x^{2}}dx
integral of f(x)=(x^3+x)(x^2+2)	integral\:f(x)=(x^{3}+x)(x^{2}+2)
integral of 1/(x^2e^{x^2)}	\int\:\frac{1}{x^{2}e^{x^{2}}}dx
integral of 1/((x-3)sqrt(4x^2-24x+20))	\int\:\frac{1}{(x-3)\sqrt{4x^{2}-24x+20}}dx
integral of 8x^{3/5}+3x^{-4/5}	\int\:8x^{\frac{3}{5}}+3x^{-\frac{4}{5}}dx
integral of 1/3 x^{(-2)/3}	\int\:\frac{1}{3}x^{\frac{-2}{3}}dx
integral of ((x+1)^2)/((x^2+2x+4))	\int\:\frac{(x+1)^{2}}{(x^{2}+2x+4)}dx
integral of x/(sqrt(4+x^4))	\int\:\frac{x}{\sqrt{4+x^{4}}}dx
integral of (x+2)/(x^{1/2)}	\int\:\frac{x+2}{x^{\frac{1}{2}}}dx
integral of (x^3+x)3^{(x^4+2x^2)}	\int\:(x^{3}+x)3^{(x^{4}+2x^{2})}dx
integral of sin(2t)e^{-st}	\int\:\sin(2t)e^{-st}dt
integral of x/(x^6)	\int\:\frac{x}{x^{6}}dx
integral of 3t+1	\int\:3t+1dt
integral of (ln(x))/(x^{16)}	\int\:\frac{\ln(x)}{x^{16}}dx
integral of xsqrt(3-4x)	\int\:x\sqrt{3-4x}dx
integral of (e^{x+e^x})	\int\:(e^{x+e^{x}})dx
integral of 6x^3(-3x^4-7)^6	\int\:6x^{3}(-3x^{4}-7)^{6}dx
integral of 9x(ln(x^3))^2	\int\:9x(\ln(x^{3}))^{2}dx
integral of (ln(x^2))/x	integral\:\frac{\ln(x^{2})}{x}
integral of 4x^3+2x-3	\int\:4x^{3}+2x-3dx
integral of e^{-θ}cos(θ)	\int\:e^{-θ}\cos(θ)dθ
integral of 1/(sqrt(x-20))	\int\:\frac{1}{\sqrt{x-20}}dx
integral of ze^{4z^2}	\int\:ze^{4z^{2}}dz
integral of (10)/((3x-3)(x^2+9))	\int\:\frac{10}{(3x-3)(x^{2}+9)}dx
integral of 1/(wln(w))	\int\:\frac{1}{w\ln(w)}dw
integral of cos^2(y)sin(y)	\int\:\cos^{2}(y)\sin(y)dy
integral of (arccos(x)-ln(x))	\int\:(\arccos(x)-\ln(x))dx
integral of (1/2 x-2)^4	\int\:(\frac{1}{2}x-2)^{4}dx
integral of (2x+1)/((x+1)^2(x^2+1))	\int\:\frac{2x+1}{(x+1)^{2}(x^{2}+1)}dx

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