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Popular Calculus Problems
integral of (-3x^7-6x^2-32)/(x^9)
\int\:\frac{-3x^{7}-6x^{2}-32}{x^{9}}dx
integral of (x^2arctan(x^3))/(1+x^6)
\int\:\frac{x^{2}\arctan(x^{3})}{1+x^{6}}dx
integral of 3e^x-e^xx^2
\int\:3e^{x}-e^{x}x^{2}dx
integral of (4x+7)/(3x-1)
\int\:\frac{4x+7}{3x-1}dx
integral of (1-2x)/(sqrt(x-x^2))
\int\:\frac{1-2x}{\sqrt{x-x^{2}}}dx
integral of (2x-4)/(x(x-3)(x-4))
\int\:\frac{2x-4}{x(x-3)(x-4)}dx
integral of (2x+3)/((2x^2+6x-1)^5)
\int\:\frac{2x+3}{(2x^{2}+6x-1)^{5}}dx
integral of sin^2(5x)cos^3(5x)
\int\:\sin^{2}(5x)\cos^{3}(5x)dx
integral of sqrt((3-2x)/(3+2x))
\int\:\sqrt{\frac{3-2x}{3+2x}}dx
integral of 1/x sqrt((x-a)/(x+a))
\int\:\frac{1}{x}\sqrt{\frac{x-a}{x+a}}dx
integral of (x^3+1)/((x^2-4x+5)^2)
\int\:\frac{x^{3}+1}{(x^{2}-4x+5)^{2}}dx
integral of 1/(2x)+sqrt(x)+1/(x^2)
\int\:\frac{1}{2x}+\sqrt{x}+\frac{1}{x^{2}}dx
integral of ((x+1))/(sqrt(x^2+2x+5))
\int\:\frac{(x+1)}{\sqrt{x^{2}+2x+5}}dx
integral of (4x^2+3x+2)/(x^2(x+1))
\int\:\frac{4x^{2}+3x+2}{x^{2}(x+1)}dx
integral of-xln(4+x^2)
\int\:-x\ln(4+x^{2})dx
integral of (2x^2)/(x^3sqrt(x^6-4))
\int\:\frac{2x^{2}}{x^{3}\sqrt{x^{6}-4}}dx
integral of (5x^2-36x+18)/(x(x-4)^2)
\int\:\frac{5x^{2}-36x+18}{x(x-4)^{2}}dx
integral of (cos(x))/(2+3sin(x))
\int\:\frac{\cos(x)}{2+3\sin(x)}dx
integral of 1/(6x^3-7x^2+2x)
\int\:\frac{1}{6x^{3}-7x^{2}+2x}dx
integral of (x-4)/(x(x-2)(x-5))
\int\:\frac{x-4}{x(x-2)(x-5)}dx
integral of (40)/(S^2)
\int\:\frac{40}{S^{2}}dS
integral of 2/((5-3x)^9)
\int\:\frac{2}{(5-3x)^{9}}dx
integral of ln(2x-3)
\int\:\ln(2x-3)dx
integral of (x^3-x^2-x+1)e^{2x}
\int\:(x^{3}-x^{2}-x+1)e^{2x}dx
integral of 1/(sqrt(4x^2+8x+19))
\int\:\frac{1}{\sqrt{4x^{2}+8x+19}}dx
integral of ln^2((3a)/x)
\int\:\ln^{2}(\frac{3a}{x})dx
integral of e^{2x}(e^x-e^{-x})^2
\int\:e^{2x}(e^{x}-e^{-x})^{2}dx
integral of 20x^3(5x^4-3)^4
\int\:20x^{3}(5x^{4}-3)^{4}dx
integral of (-sec^2(x)+e^{2x+1})
\int\:(-\sec^{2}(x)+e^{2x+1})dx
integral of (x^2)sin(4x)
\int\:(x^{2})\sin(4x)dx
integral of sin(a+2x)sin(a-2x)
\int\:\sin(a+2x)\sin(a-2x)dx
integral of sqrt(z^2-2z^4)
\int\:\sqrt{z^{2}-2z^{4}}dz
integral of (sqrt(sin(x))+cos(x))^2
\int\:(\sqrt{\sin(x)}+\cos(x))^{2}dx
integral of 2xcsc^2(6)x^2
\int\:2x\csc^{2}(6)x^{2}dx
integral of (2cos(x)-sin(3x)cos(3x))
\int\:(2\cos(x)-\sin(3x)\cos(3x))dx
integral of (3x^2-2x)e^{2x}
\int\:(3x^{2}-2x)e^{2x}dx
integral of (z^2+2z+3)/((z-6)(z^2+4))
\int\:\frac{z^{2}+2z+3}{(z-6)(z^{2}+4)}dz
integral of (tan^2(x))/(sin^2(x))
\int\:\frac{\tan^{2}(x)}{\sin^{2}(x)}dx
integral of 12cos(4x)sin^4(4x)
\int\:12\cos(4x)\sin^{4}(4x)dx
integral of x^1-1
\int\:x^{1}-1dx
integral of sinh^3(x)cosh(x)
\int\:\sinh^{3}(x)\cosh(x)dx
integral of 20x^3(5x^4-1)^3
\int\:20x^{3}(5x^{4}-1)^{3}dx
integral of x/((x-2)(x-1)^2)
\int\:\frac{x}{(x-2)(x-1)^{2}}dx
integral of ((2x+2))/(x^2+10x+24)
\int\:\frac{(2x+2)}{x^{2}+10x+24}dx
integral of (x^3+1)/((x-1)^2(x^2+1))
\int\:\frac{x^{3}+1}{(x-1)^{2}(x^{2}+1)}dx
integral of 2e^{x^2+ln(x)}
\int\:2e^{x^{2}+\ln(x)}dx
integral of (ax^2+x)/(3x+1)
\int\:\frac{ax^{2}+x}{3x+1}dx
integral of 4/(1+sin(x)+cos(x))
\int\:\frac{4}{1+\sin(x)+\cos(x)}dx
integral of ln(x)\sqrt[3]{x}
\int\:\ln(x)\sqrt[3]{x}dx
integral of 5(z-4)\sqrt[3]{z^2-8z}
\int\:5(z-4)\sqrt[3]{z^{2}-8z}dz
integral of-xln(9+x^2)
\int\:-x\ln(9+x^{2})dx
integral of x^2cos^2(2x)
\int\:x^{2}\cos^{2}(2x)dx
integral of (8s^3)/(sqrt(5-s^4))
\int\:\frac{8s^{3}}{\sqrt{5-s^{4}}}ds
integral of-(e^{2x})/(6+e^x)
\int\:-\frac{e^{2x}}{6+e^{x}}dx
integral of (x^2-2)sin(2x)
\int\:(x^{2}-2)\sin(2x)dx
integral of 4e^{3ln(x)}
\int\:4e^{3\ln(x)}dx
integral of 1/(1-0.4x)
\int\:\frac{1}{1-0.4x}dx
integral of-(32x)/(4x^2+1)
\int\:-\frac{32x}{4x^{2}+1}dx
integral of (4sin(r))/(cos(r))
\int\:\frac{4\sin(r)}{\cos(r)}dr
integral of ln(e^{x^2})
\int\:\ln(e^{x^{2}})dx
integral of x^{2x}
\int\:x^{2x}dx
integral of 1/(sqrt(x^2-6x+8))
\int\:\frac{1}{\sqrt{x^{2}-6x+8}}dx
integral of 1/(sqrt(x))+3
\int\:\frac{1}{\sqrt{x}}+3dx
integral of 20x^4(4x^5-5)^5
\int\:20x^{4}(4x^{5}-5)^{5}dx
integral of arcsin^3(x)
\int\:\arcsin^{3}(x)dx
integral of 3sin(2x)cos(2x)
\int\:3\sin(2x)\cos(2x)dx
integral of x(x-5)^{12}
\int\:x(x-5)^{12}dx
integral of (2x-6)/((x+4)(x-5))
\int\:\frac{2x-6}{(x+4)(x-5)}dx
integral of 3e^{sin^2(x)}sin(2x)
\int\:3e^{\sin^{2}(x)}\sin(2x)dx
integral of 7sec^4(x)
\int\:7\sec^{4}(x)dx
integral of 5sin(2x)cos(2x)
\int\:5\sin(2x)\cos(2x)dx
integral of sin^{12}(x)cos^3(x)
\int\:\sin^{12}(x)\cos^{3}(x)dx
integral of 3/(4xsqrt(16x^4-9))
\int\:\frac{3}{4x\sqrt{16x^{4}-9}}dx
integral of (-2x^2+6x+8)/(x^2(x+2))
\int\:\frac{-2x^{2}+6x+8}{x^{2}(x+2)}dx
integral of xln(sqrt(x^2+1))
\int\:x\ln(\sqrt{x^{2}+1})dx
integral of (2x^2-9x+11)/((x-3)^2(x-1))
\int\:\frac{2x^{2}-9x+11}{(x-3)^{2}(x-1)}dx
integral of (sin(3x)-tan(2x)+5/(3x+2))
\int\:(\sin(3x)-\tan(2x)+\frac{5}{3x+2})dx
integral of sin^2(u)cos^5(u)
\int\:\sin^{2}(u)\cos^{5}(u)du
integral of (2x^2-1/2 x-15)
\int\:(2x^{2}-\frac{1}{2}x-15)dx
integral of tan^4(x)sec^3(x)
\int\:\tan^{4}(x)\sec^{3}(x)dx
integral of xln(ax+b)
\int\:x\ln(ax+b)dx
integral of (5x+2)^{1/3}
\int\:(5x+2)^{\frac{1}{3}}dx
integral of (cos(3x))/(sqrt(5+2sin(3x)))
\int\:\frac{\cos(3x)}{\sqrt{5+2\sin(3x)}}dx
integral of 1/(sqrt(1-cos(2x)))
\int\:\frac{1}{\sqrt{1-\cos(2x)}}dx
integral of 1/((2x-3)sqrt(5-12x+4x^2))
\int\:\frac{1}{(2x-3)\sqrt{5-12x+4x^{2}}}dx
integral of (t-2/t)(t+2/t)
\int\:(t-\frac{2}{t})(t+\frac{2}{t})dt
integral of x/((sqrt(9+x^2))^3)
\int\:\frac{x}{(\sqrt{9+x^{2}})^{3}}dx
integral of 1/((1+y)sqrt(y))
\int\:\frac{1}{(1+y)\sqrt{y}}dy
integral of-(12e^{3x})/(e^{3x)+4}
\int\:-\frac{12e^{3x}}{e^{3x}+4}dx
integral of e^{4x}cos(e^{4x}+pi)
\int\:e^{4x}\cos(e^{4x}+π)dx
integral of 1/x+2/(x^2)+10^x
\int\:\frac{1}{x}+\frac{2}{x^{2}}+10^{x}dx
integral of x^2cos(4)x^3
\int\:x^{2}\cos(4)x^{3}dx
integral of e^{-bx^2}
\int\:e^{-bx^{2}}dx
integral of t^2cos(3t)
\int\:t^{2}\cos(3t)dt
integral of 1/(x^2ln(x))
\int\:\frac{1}{x^{2}\ln(x)}dx
integral of 1/(sqrt(x^2+x+2))
\int\:\frac{1}{\sqrt{x^{2}+x+2}}dx
integral of ((sin(2x))/(1-2sin^2(x)))
\int\:(\frac{\sin(2x)}{1-2\sin^{2}(x)})dx
integral of (6x+4)cos(x/4)
\int\:(6x+4)\cos(\frac{x}{4})dx
integral of (18x^2(sqrt(3x^2+5)))
\int\:(18x^{2}(\sqrt{3x^{2}+5}))dx
integral of x/(sqrt(5+12x-9x^2))
\int\:\frac{x}{\sqrt{5+12x-9x^{2}}}dx
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