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Popular Calculus Problems

integral of (sqrt(9-t^2))/(t^2)	\int\:\frac{\sqrt{9-t^{2}}}{t^{2}}dt
integral of x/(x^2sqrt(9x^4-25))	\int\:\frac{x}{x^{2}\sqrt{9x^{4}-25}}dx
integral of (5x^4+6x)/(x^5+3x^2+7)	\int\:\frac{5x^{4}+6x}{x^{5}+3x^{2}+7}dx
integral of 2/4 x^{-8}	\int\:\frac{2}{4}x^{-8}dx
integral of x/(1+x^{1/3)}	\int\:\frac{x}{1+x^{\frac{1}{3}}}dx
integral of 1/((1+u^2)^{3/2)}	\int\:\frac{1}{(1+u^{2})^{\frac{3}{2}}}du
integral of ((2+e^x))/(e^x)	\int\:\frac{(2+e^{x})}{e^{x}}dx
integral of 3^xcosh(3^x)	\int\:3^{x}\cosh(3^{x})dx
integral of 1/(6w-2-9w^2)	\int\:\frac{1}{6w-2-9w^{2}}dw
integral of 6/(xsqrt(x^2-1))	\int\:\frac{6}{x\sqrt{x^{2}-1}}dx
integral of 4x^3*ln(x)	\int\:4x^{3}\cdot\:\ln(x)dx
integral of (2sqrt(x^2-1))/x	\int\:\frac{2\sqrt{x^{2}-1}}{x}dx
integral of (1+3z)(2sqrt(z)-5)	\int\:(1+3z)(2\sqrt{z}-5)dz
integral of (11x^2)/((81+x^2)^2)	\int\:\frac{11x^{2}}{(81+x^{2})^{2}}dx
integral of (2x^2+1)/((x+3)(x+2))	\int\:\frac{2x^{2}+1}{(x+3)(x+2)}dx
integral of (sec^2(y))/(1+tan(y))	\int\:\frac{\sec^{2}(y)}{1+\tan(y)}dy
integral of (cos^7(x))/(sqrt(sin(x)))	\int\:\frac{\cos^{7}(x)}{\sqrt{\sin(x)}}dx
integral of ((x-3))/((x^2+4))	\int\:\frac{(x-3)}{(x^{2}+4)}dx
integral of 1+2x-4x^3	\int\:1+2x-4x^{3}dx
integral of ((4-x)/(sqrt(16-x^2)))	\int\:(\frac{4-x}{\sqrt{16-x^{2}}})dx
integral of 200e^{0.1t}+150e^{-0.3t}	\int\:200e^{0.1t}+150e^{-0.3t}dt
integral of 1/(1+sin(θ)+cos(θ))	\int\:\frac{1}{1+\sin(θ)+\cos(θ)}dθ
integral of ln((cos(θ))^{tan(θ)})	\int\:\ln((\cos(θ))^{\tan(θ)})dθ
integral of 1/((x^2-2x+2)(x^2+4))	\int\:\frac{1}{(x^{2}-2x+2)(x^{2}+4)}dx
integral of sin(2x)+5tan^2(x)csc^2(x)	\int\:\sin(2x)+5\tan^{2}(x)\csc^{2}(x)dx
integral of sec^2(x)tan(2tan(x))	\int\:\sec^{2}(x)\tan(2\tan(x))dx
integral of 2x(arcsin(x))^2	\int\:2x(\arcsin(x))^{2}dx
integral of-6/(7tsqrt(49t^2-25))	\int\:-\frac{6}{7t\sqrt{49t^{2}-25}}dt
integral of (3x-1)/(x(x^2-4))	\int\:\frac{3x-1}{x(x^{2}-4)}dx
integral of 1/(w^{5/8)-w^{1/8}}	\int\:\frac{1}{w^{\frac{5}{8}}-w^{\frac{1}{8}}}dw
integral of (x^2-4x-12)/(x+2)	\int\:\frac{x^{2}-4x-12}{x+2}dx
integral of csc(pix-1)	\int\:\csc(πx-1)dx
integral of (2(x^2-1)^{1/2})/x	\int\:\frac{2(x^{2}-1)^{\frac{1}{2}}}{x}dx
integral of (3x^4-4)/(2x^3)	\int\:\frac{3x^{4}-4}{2x^{3}}dx
integral of vsin^2(3v)	\int\:v\sin^{2}(3v)dv
integral of 1/2 xcsc^2(x)	\int\:\frac{1}{2}x\csc^{2}(x)dx
integral of sqrt(x)sqrt(25-x)	\int\:\sqrt{x}\sqrt{25-x}dx
integral of ((sqrt(x)+1)^2)/(sqrt(x))	\int\:\frac{(\sqrt{x}+1)^{2}}{\sqrt{x}}dx
integral of 1/((x+2)(x-1)^2)	\int\:\frac{1}{(x+2)(x-1)^{2}}dx
integral of x(x+4)^{-2}	\int\:x(x+4)^{-2}dx
integral of 1/(sqrt(20x))	\int\:\frac{1}{\sqrt{20x}}dx
integral of (x^3)/(2+x^4)	\int\:\frac{x^{3}}{2+x^{4}}dx
integral of 1/(sqrt(4e^{-2x)-25)}	\int\:\frac{1}{\sqrt{4e^{-2x}-25}}dx
integral of 2/3 xe^{-3/5 x}	\int\:\frac{2}{3}xe^{-\frac{3}{5}x}dx
integral of xcosh(x^2)sinh(x^2)	\int\:x\cosh(x^{2})\sinh(x^{2})dx
integral of-2/(sin(x))	\int\:-\frac{2}{\sin(x)}dx
integral of coth^2(3x)	\int\:\coth^{2}(3x)dx
integral of (e^{2x})/(sqrt(1+5e^{2x))}	\int\:\frac{e^{2x}}{\sqrt{1+5e^{2x}}}dx
integral of 1/(x^4sqrt(x^2-9))	\int\:\frac{1}{x^{4}\sqrt{x^{2}-9}}dx
integral of ((cos(θ)+tan(θ)))/(cos^2(θ))	\int\:\frac{(\cos(θ)+\tan(θ))}{\cos^{2}(θ)}dθ
integral of (x-45)/(x^2(x+5))	\int\:\frac{x-45}{x^{2}(x+5)}dx
integral of (rivative of 4x)/((x^2-9))	\int\:\frac{\frac{d}{dx}(4x)}{(x^{2}-9)}dx
integral of (x^2ln^3(2+x^3))/(2+x^3)	\int\:\frac{x^{2}\ln^{3}(2+x^{3})}{2+x^{3}}dx
integral of (x^2-3x-5)/(x-2)	\int\:\frac{x^{2}-3x-5}{x-2}dx
integral of 1/2 x3^x	\int\:\frac{1}{2}x3^{x}dx
integral of 1/(4x^2-16x+17)	\int\:\frac{1}{4x^{2}-16x+17}dx
integral of 1/(x^{1/2)+x^{2/3}}	\int\:\frac{1}{x^{\frac{1}{2}}+x^{\frac{2}{3}}}dx
integral of (x^2+1)/(x^3-1)	\int\:\frac{x^{2}+1}{x^{3}-1}dx
integral of (2+x)/(sqrt(4-x^2))	\int\:\frac{2+x}{\sqrt{4-x^{2}}}dx
integral of (x^2)/(sqrt(x^2-7))	\int\:\frac{x^{2}}{\sqrt{x^{2}-7}}dx
integral of 1/2 cos^3(x)sqrt(sin(x))	\int\:\frac{1}{2}\cos^{3}(x)\sqrt{\sin(x)}dx
integral of 4/(sqrt(1-16x^2))	\int\:\frac{4}{\sqrt{1-16x^{2}}}dx
integral of (x^2)/(\sqrt[3]{x^3-1)}	\int\:\frac{x^{2}}{\sqrt[3]{x^{3}-1}}dx
integral of 1/(x(x^2+3)^2)	\int\:\frac{1}{x(x^{2}+3)^{2}}dx
integral of 2x^3sin(x^2)	\int\:2x^{3}\sin(x^{2})dx
integral of (3-2sin(x))^2	\int\:(3-2\sin(x))^{2}dx
integral of (6x^4+2x^2+4x+15)/(x^2+3)	\int\:\frac{6x^{4}+2x^{2}+4x+15}{x^{2}+3}dx
integral of (2t^2-t+4)/(t^3+4t)	\int\:\frac{2t^{2}-t+4}{t^{3}+4t}dt
integral of (2x-1)^{-1}	\int\:(2x-1)^{-1}dx
integral of sqrt(x^4+3x^7)	\int\:\sqrt{x^{4}+3x^{7}}dx
integral of ln(sqrt(y)+3)	\int\:\ln(\sqrt{y}+3)dy
integral of 1/(x^3(1+x^3)^{1/3)}	\int\:\frac{1}{x^{3}(1+x^{3})^{\frac{1}{3}}}dx
integral of 1/(4e^t+e^{-t)}	\int\:\frac{1}{4e^{t}+e^{-t}}dt
integral of 9sec^5(x)	\int\:9\sec^{5}(x)dx
integral of (6x^2+2x+3)	\int\:(6x^{2}+2x+3)dx
integral of x^6cos(x^7)	\int\:x^{6}\cos(x^{7})dx
integral of+sin^5(x/3)cos(x/3)	\int\:+\sin^{5}(\frac{x}{3})\cos(\frac{x}{3})dx
integral of ((4-sqrt(2x+1)))/(1-2x)	\int\:\frac{(4-\sqrt{2x+1})}{1-2x}dx
integral of (4x^5-3x^4-25)	\int\:(4x^{5}-3x^{4}-25)dx
integral of x^3sqrt(1+81x^2)	\int\:x^{3}\sqrt{1+81x^{2}}dx
integral of ((x-1)/x)^3	\int\:(\frac{x-1}{x})^{3}dx
integral of sin(7x)sin(6x)	\int\:\sin(7x)\sin(6x)dx
integral of (cot(3x))/(sin(3x))	\int\:\frac{\cot(3x)}{\sin(3x)}dx
integral of 14coth(x)	\int\:14\coth(x)dx
integral of 2x(x^2-9)^4	\int\:2x(x^{2}-9)^{4}dx
integral of (6x-1)/((2x-1)x^3)	\int\:\frac{6x-1}{(2x-1)x^{3}}dx
integral of (x^2+2x+4)/(x^3+3x^2+3x+1)	\int\:\frac{x^{2}+2x+4}{x^{3}+3x^{2}+3x+1}dx
integral of 1/(8-4x)	\int\:\frac{1}{8-4x}dx
integral of (x^3)/((x^4-8)^4)	\int\:\frac{x^{3}}{(x^{4}-8)^{4}}dx
integral of 3/(7-2x)	\int\:\frac{3}{7-2x}dx
integral of (5x-y^2)^{15}	\int\:(5x-y^{2})^{15}dx
integral of 1/(v(100-v))	\int\:\frac{1}{v(100-v)}dv
integral of (3x-2)/(x^2+8x+25)	\int\:\frac{3x-2}{x^{2}+8x+25}dx
integral of 1/(2+cos(u))	\int\:\frac{1}{2+\cos(u)}du
integral of (e^{2x})/(\sqrt[3]{1+e^x)}	\int\:\frac{e^{2x}}{\sqrt[3]{1+e^{x}}}dx
integral of (3x-6)^2	\int\:(3x-6)^{2}dx
integral of (x-2)/(x^2-2x+2)	\int\:\frac{x-2}{x^{2}-2x+2}dx
integral of 1/(sqrt(x)(\sqrt{x)-2)^2}	\int\:\frac{1}{\sqrt{x}(\sqrt{x}-2)^{2}}dx
integral of (2cos(x)+3sin(x))/(sin^3(x))	\int\:\frac{2\cos(x)+3\sin(x)}{\sin^{3}(x)}dx
integral of 2sqrt(x)(x+2x^{1/3})	\int\:2\sqrt{x}(x+2x^{\frac{1}{3}})dx

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