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Popular Calculus Problems
integral of ((x^2))/((x^2+1)^2)
\int\:\frac{(x^{2})}{(x^{2}+1)^{2}}dx
integral of (-11+6/(sqrt(x)))
\int\:(-11+\frac{6}{\sqrt{x}})dx
integral of x/(x+x^2)
\int\:\frac{x}{x+x^{2}}dx
integral of (3y)/((5y^2+4)^2)
\int\:\frac{3y}{(5y^{2}+4)^{2}}dy
integral of (ln(x))/(xy)
\int\:\frac{\ln(x)}{xy}dx
integral of ((e^{2x}))/(3+e^{2x)}
\int\:\frac{(e^{2x})}{3+e^{2x}}dx
integral of (1+x+x^2)/(x+x^3)
\int\:\frac{1+x+x^{2}}{x+x^{3}}dx
integral of (x^4-2x^3-27)/(x(x^2+9)^2)
\int\:\frac{x^{4}-2x^{3}-27}{x(x^{2}+9)^{2}}dx
integral of x^5-1/(sqrt(x))+e^x
\int\:x^{5}-\frac{1}{\sqrt{x}}+e^{x}dx
integral of ((x+2)^2)/x
\int\:\frac{(x+2)^{2}}{x}dx
integral of sin^3(y)cos^4(y)
\int\:\sin^{3}(y)\cos^{4}(y)dy
integral of x/((2x^2+1)^2)
\int\:\frac{x}{(2x^{2}+1)^{2}}dx
integral of (x+7)/(x^2+4x+6)
\int\:\frac{x+7}{x^{2}+4x+6}dx
integral of-x^2+4x+2
\int\:-x^{2}+4x+2dx
integral of xsqrt(x^2+6x+13)
\int\:x\sqrt{x^{2}+6x+13}dx
integral of 5x^4(x^5-3)^7
\int\:5x^{4}(x^{5}-3)^{7}dx
integral of cos(4x)e^{4x}
\int\:\cos(4x)e^{4x}dx
integral of cos(x)sin(x)
integral\:\cos(x)\sin(x)
integral of x/(9+4x^2)
\int\:\frac{x}{9+4x^{2}}dx
integral of (e^{2x})/(1+3e^{2x)}
\int\:\frac{e^{2x}}{1+3e^{2x}}dx
integral of sec(x)(5sec(x)+4tan(x))
\int\:\sec(x)(5\sec(x)+4\tan(x))dx
integral of 1/(x(1+3x))
\int\:\frac{1}{x(1+3x)}dx
integral of 1/(x(1+x^8))
\int\:\frac{1}{x(1+x^{8})}dx
integral of 7/((x-8)(x-1))
\int\:\frac{7}{(x-8)(x-1)}dx
integral of 1/(sqrt(1+12x-9x^2))
\int\:\frac{1}{\sqrt{1+12x-9x^{2}}}dx
integral of x^2-4x-12
\int\:x^{2}-4x-12dx
integral of 1/((4-x))
\int\:\frac{1}{(4-x)}dx
integral of 3xsqrt(x-1)
\int\:3x\sqrt{x-1}dx
integral of 3xsqrt(x-2)
\int\:3x\sqrt{x-2}dx
integral of 9x^2sqrt(1+2x^3)
\int\:9x^{2}\sqrt{1+2x^{3}}dx
integral of p(p+8)^7
\int\:p(p+8)^{7}dp
integral of (2x+3)e^{x^2+3x}
\int\:(2x+3)e^{x^{2}+3x}dx
integral of (10x+1)sqrt(4x-1)
\int\:(10x+1)\sqrt{4x-1}dx
integral of (-14+3/(sqrt(x)))
\int\:(-14+\frac{3}{\sqrt{x}})dx
integral of (x-1)cos(5x)
\int\:(x-1)\cos(5x)dx
integral of cos(t/4)
\int\:\cos(\frac{t}{4})dt
integral of (3/(4x+5)-1/(e^{3x)}+3^{4x})
\int\:(\frac{3}{4x+5}-\frac{1}{e^{3x}}+3^{4x})dx
integral of (x^3+x)^5(3x^2+1)
\int\:(x^{3}+x)^{5}(3x^{2}+1)dx
integral of 6/(xln^3(4x))
\int\:\frac{6}{x\ln^{3}(4x)}dx
integral of 12(x^4+4x^2+1)^2(x^3+2x)
\int\:12(x^{4}+4x^{2}+1)^{2}(x^{3}+2x)dx
integral of 1+cos(x^2)
\int\:1+\cos(x^{2})dx
integral of 1/(6sqrt(x^3))
\int\:\frac{1}{6\sqrt{x^{3}}}dx
integral of 12x^{11}
\int\:12x^{11}dx
integral of rrθ*2-4sin(θ)
integral\:rrθ\cdot\:2-4\sin(θ)
integral of 10xe^{-x^2}
\int\:10xe^{-x^{2}}dx
integral of 1/(x+3x^2)
\int\:\frac{1}{x+3x^{2}}dx
integral of x(arctan(x))
\int\:x(\arctan(x))dx
integral of cos(x)cos(7sin(x))
\int\:\cos(x)\cos(7\sin(x))dx
integral of (2x+3)/(x^3-x)
\int\:\frac{2x+3}{x^{3}-x}dx
integral of tan^7(x/4)sec^2(x/4)
\int\:\tan^{7}(\frac{x}{4})\sec^{2}(\frac{x}{4})dx
integral of (x-sin(x))^2sin(x)
\int\:(x-\sin(x))^{2}\sin(x)dx
integral of (3x-5)/((x-2)(x+1))
\int\:\frac{3x-5}{(x-2)(x+1)}dx
integral of sec(t)(7sec(t)+8tan(t))
\int\:\sec(t)(7\sec(t)+8\tan(t))dt
integral of 3t-7
\int\:3t-7dt
integral of ((1-2x^3))/(x^3)
\int\:\frac{(1-2x^{3})}{x^{3}}dx
integral of (5-4x)^{10}
\int\:(5-4x)^{10}dx
integral of 6xcos(3x)
\int\:6x\cos(3x)dx
integral of 3x^3sqrt(x^2+1)
\int\:3x^{3}\sqrt{x^{2}+1}dx
integral of (1-sin^2(x))/(sin(x))
\int\:\frac{1-\sin^{2}(x)}{\sin(x)}dx
integral of (81)/(x^4)
\int\:\frac{81}{x^{4}}dx
integral of (3csc^2(t)-5sec(t)tan(t))
\int\:(3\csc^{2}(t)-5\sec(t)\tan(t))dt
integral of e^x+1/(8x)
\int\:e^{x}+\frac{1}{8x}dx
integral of 5/3 cos(1/3 x)-2sin(2/3 x)
\int\:\frac{5}{3}\cos(\frac{1}{3}x)-2\sin(\frac{2}{3}x)dx
integral of (2x)/((x^2+2)^3)
\int\:\frac{2x}{(x^{2}+2)^{3}}dx
integral of e^{-3x}cos(8x)
\int\:e^{-3x}\cos(8x)dx
integral of e^y+x^2e^{xy}
\int\:e^{y}+x^{2}e^{xy}dy
integral of 1/(x(x^2-1)^{1/2)}
\int\:\frac{1}{x(x^{2}-1)^{\frac{1}{2}}}dx
integral of x 3/4
\int\:x\frac{3}{4}dx
integral of 2sin(2t)cos(2t)
\int\:2\sin(2t)\cos(2t)dt
integral of (x*cos(x))/(sin^2(x))
\int\:\frac{x\cdot\:\cos(x)}{\sin^{2}(x)}dx
integral of 28x^3
\int\:28x^{3}dx
integral of 1/(x^2)csc(1/x)
\int\:\frac{1}{x^{2}}\csc(\frac{1}{x})dx
integral of e^{-st}(t^2)
\int\:e^{-st}(t^{2})dt
integral of arcsin(ax)
\int\:\arcsin(ax)dx
integral of 4/(sqrt(4x))
\int\:\frac{4}{\sqrt{4x}}dx
integral of (x^2*e^{x^3})
\int\:(x^{2}\cdot\:e^{x^{3}})dx
integral of-2/7
\int\:-\frac{2}{7}dx
integral of (x^2+2)/(x(x^2-1))
\int\:\frac{x^{2}+2}{x(x^{2}-1)}dx
integral of (5^x)/(5^x+1)
\int\:\frac{5^{x}}{5^{x}+1}dx
integral of e^x+3x^2
\int\:e^{x}+3x^{2}dx
integral of 2/(u^2-1)
\int\:\frac{2}{u^{2}-1}du
integral of (27x^2)/(sqrt(4-9x^2))
\int\:\frac{27x^{2}}{\sqrt{4-9x^{2}}}dx
integral of xsqrt(x^3)
\int\:x\sqrt{x^{3}}dx
integral of (sqrt(2x))/(2x-4)
\int\:\frac{\sqrt{2x}}{2x-4}dx
integral of (2x+3)/(x^2+5x+6)
\int\:\frac{2x+3}{x^{2}+5x+6}dx
integral of 1/6 e^{-x/6}
\int\:\frac{1}{6}e^{-\frac{x}{6}}dx
integral of sin^2(1-2x)
\int\:\sin^{2}(1-2x)dx
integral of (x^2+2x+3)/((x+1)(x^2+2x+4))
\int\:\frac{x^{2}+2x+3}{(x+1)(x^{2}+2x+4)}dx
integral of θtan(3)θ^2
\int\:θ\tan(3)θ^{2}dθ
integral of (cos(2x))/(sin^5(2x))
\int\:\frac{\cos(2x)}{\sin^{5}(2x)}dx
integral of 16x^2-x^4
\int\:16x^{2}-x^{4}dx
integral of-xln(x^2+1)
\int\:-x\ln(x^{2}+1)dx
integral of (x-1)/(3x^3+6x)
\int\:\frac{x-1}{3x^{3}+6x}dx
integral of sec(t)(5sec(t)+9tan(t))
\int\:\sec(t)(5\sec(t)+9\tan(t))dt
integral of 1/((1+x^2)x^2)
\int\:\frac{1}{(1+x^{2})x^{2}}dx
integral of ((3x^4)/pi+10cos(x)+1/(e^x))
\int\:(\frac{3x^{4}}{π}+10\cos(x)+\frac{1}{e^{x}})dx
integral of-x
integral\:-x
integral of (5cosh(x)+x^3)
\int\:(5\cosh(x)+x^{3})dx
integral of 27te^{3t}
\int\:27te^{3t}dt
integral of 1/(sqrt(p))
\int\:\frac{1}{\sqrt{p}}dp
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