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Popular Calculus Problems

integral of (3x)/(sqrt(3x+1))	\int\:\frac{3x}{\sqrt{3x+1}}dx
integral of (x^e-x/e+2ex)	\int\:(x^{e}-\frac{x}{e}+2ex)dx
integral of (3ln^3(x))/x	\int\:\frac{3\ln^{3}(x)}{x}dx
integral of x-4x^3	\int\:x-4x^{3}dx
integral of (-2)/(x^2+2)	\int\:\frac{-2}{x^{2}+2}dx
integral of 1/((4-x^2)^{1.5)}	\int\:\frac{1}{(4-x^{2})^{1.5}}dx
integral of (81-y)/2	\int\:\frac{81-y}{2}dy
integral of (-12xy^2+8x^3y+3)	\int\:(-12xy^{2}+8x^{3}y+3)dx
integral of x/(x^2-4x+1)	\int\:\frac{x}{x^{2}-4x+1}dx
integral of (2x+4)/((x^2-5x+6))	\int\:\frac{2x+4}{(x^{2}-5x+6)}dx
integral of (10x+2)/((x+1)^2(x-3)^2)	\int\:\frac{10x+2}{(x+1)^{2}(x-3)^{2}}dx
integral of tanh^3(x)	\int\:\tanh^{3}(x)dx
integral of (cos(x))/(6sin^2(x)+7sin(x))	\int\:\frac{\cos(x)}{6\sin^{2}(x)+7\sin(x)}dx
integral of (4x)/(sqrt(4x^2+3))	\int\:\frac{4x}{\sqrt{4x^{2}+3}}dx
integral of ((3F-2))/(F^2+2F+17)	\int\:\frac{(3F-2)}{F^{2}+2F+17}dF
integral of 3x^5(x^3+2)^{15}	\int\:3x^{5}(x^{3}+2)^{15}dx
integral of ((2x^2+x^2sqrt(x)-1)/(x^2))	\int\:(\frac{2x^{2}+x^{2}\sqrt{x}-1}{x^{2}})dx
integral of (6x^{1/5}+10)	\int\:(6x^{\frac{1}{5}}+10)dx
integral of (4x^3-3x^2+2x)	\int\:(4x^{3}-3x^{2}+2x)dx
integral of (x^{3/4})/3	\int\:\frac{x^{\frac{3}{4}}}{3}dx
integral of (sin(y))/(1+sin(y))	\int\:\frac{\sin(y)}{1+\sin(y)}dy
integral of 4sqrt(9-x^2)	\int\:4\sqrt{9-x^{2}}dx
integral of ((x+7))/((x^2-8x-19))	\int\:\frac{(x+7)}{(x^{2}-8x-19)}dx
integral of sin(t)e^{-t}	\int\:\sin(t)e^{-t}dt
integral of (ln(2x^2+1))/(x^2)	\int\:\frac{\ln(2x^{2}+1)}{x^{2}}dx
integral of csc(θ)tan(θ)	\int\:\csc(θ)\tan(θ)dθ
integral of (2x+3)/(sqrt(x^2+2x+5))	\int\:\frac{2x+3}{\sqrt{x^{2}+2x+5}}dx
integral of 3x^2-6x+8	\int\:3x^{2}-6x+8dx
integral of sqrt(4x^2-8x+5)	\int\:\sqrt{4x^{2}-8x+5}dx
integral of xcos(6pi)x^2	\int\:x\cos(6π)x^{2}dx
integral of (cos(x)sin(x))^2	\int\:(\cos(x)\sin(x))^{2}dx
integral of (3x-4)/(-x^2+6x-8)	\int\:\frac{3x-4}{-x^{2}+6x-8}dx
integral of 1/(2sqrt(1-3v))	\int\:\frac{1}{2\sqrt{1-3v}}dv
integral of sech^2(3x)	\int\:\sech^{2}(3x)dx
integral of 4cos^3(x)sqrt(sin(x))	\int\:4\cos^{3}(x)\sqrt{\sin(x)}dx
integral of+9sin(3x)	\int\:+9\sin(3x)dx
integral of-xsin^2(2x)	\int\:-x\sin^{2}(2x)dx
integral of ((5x^2-9))/(x^3-9x)	\int\:\frac{(5x^{2}-9)}{x^{3}-9x}dx
integral of 9csc(x)(cot(x)-csc(x))	\int\:9\csc(x)(\cot(x)-\csc(x))dx
integral of (sin(x))/((cos^5(x)))	\int\:\frac{\sin(x)}{(\cos^{5}(x))}dx
integral of sin(x/4)cos((3x)/4)	\int\:\sin(\frac{x}{4})\cos(\frac{3x}{4})dx
integral of (2x-1)/((x+8)(x-9))	\int\:\frac{2x-1}{(x+8)(x-9)}dx
integral of (ln(x+3))/(x+3)	\int\:\frac{\ln(x+3)}{x+3}dx
integral of (2x^2+x+6)/(x^2+x-2)	\int\:\frac{2x^{2}+x+6}{x^{2}+x-2}dx
integral of 1/((x+1)^3sqrt(x^2+2x-3))	\int\:\frac{1}{(x+1)^{3}\sqrt{x^{2}+2x-3}}dx
integral of (5+sin(x))^3cos(x)	\int\:(5+\sin(x))^{3}\cos(x)dx
integral of (sqrt((x^2-9)))/x	\int\:\frac{\sqrt{(x^{2}-9)}}{x}dx
integral of 3cot^2(x)csc^4(x)	\int\:3\cot^{2}(x)\csc^{4}(x)dx
integral of 20sec(5x)tan(5x)sec^3(5x)	\int\:20\sec(5x)\tan(5x)\sec^{3}(5x)dx
integral of (sqrt(81x^2-25))/(x^3)	\int\:\frac{\sqrt{81x^{2}-25}}{x^{3}}dx
integral of (2x^4-6x^3+x-2)/(x-2)	\int\:\frac{2x^{4}-6x^{3}+x-2}{x-2}dx
integral of 2sqrt(1-5x^2)	\int\:2\sqrt{1-5x^{2}}dx
integral of (2x^2+x)^2	\int\:(2x^{2}+x)^{2}dx
integral of 1/(sqrt(2x^2+4x+3))	\int\:\frac{1}{\sqrt{2x^{2}+4x+3}}dx
integral of (sqrt(x+4))/(x^2)	\int\:\frac{\sqrt{x+4}}{x^{2}}dx
integral of (x+2/(x^2))^2	\int\:(x+\frac{2}{x^{2}})^{2}dx
integral of (2x^2+3)/(x^4-2x^2+1)	\int\:\frac{2x^{2}+3}{x^{4}-2x^{2}+1}dx
integral of (t^3)/(e^{2t^4)}	\int\:\frac{t^{3}}{e^{2t^{4}}}dt
integral of 4xsinh(2x)	\int\:4x\sinh(2x)dx
integral of 1/(sin(x)+cos(x)+3)	\int\:\frac{1}{\sin(x)+\cos(x)+3}dx
integral of (t+1)/(sqrt(t^2+2t+3))	\int\:\frac{t+1}{\sqrt{t^{2}+2t+3}}dt
integral of (x^2-6x+4)^{14}(x-3)	\int\:(x^{2}-6x+4)^{14}(x-3)dx
integral of 1/(w^{1/3)}	\int\:\frac{1}{w^{\frac{1}{3}}}dw
integral of (x^2)/((x^3-1)^3)	\int\:\frac{x^{2}}{(x^{3}-1)^{3}}dx
integral of cot^5(2θ)	\int\:\cot^{5}(2θ)dθ
integral of e^x(x)^{-1}	\int\:e^{x}(x)^{-1}dx
integral of (2x^2+3)^25x	\int\:(2x^{2}+3)^{2}5xdx
integral of (-1/12)	\int\:(-\frac{1}{12})dy
integral of 4/(sqrt(3-2x^2))	\int\:\frac{4}{\sqrt{3-2x^{2}}}dx
integral of 5/(x^2)-3/x	\int\:\frac{5}{x^{2}}-\frac{3}{x}dx
integral of (10x)/(4x^2-8x+9)	\int\:\frac{10x}{4x^{2}-8x+9}dx
integral of (cot^5(x))/(sin^3(x))	\int\:\frac{\cot^{5}(x)}{\sin^{3}(x)}dx
integral of-sqrt(4x)-5/(3x^{4/3)}+3/4	\int\:-\sqrt{4x}-\frac{5}{3x^{\frac{4}{3}}}+\frac{3}{4}dx
integral of (x^7+x^5-4x^3)/(x^6)	\int\:\frac{x^{7}+x^{5}-4x^{3}}{x^{6}}dx
integral of ((2x^2+1))/(x^3-3x+2)	\int\:\frac{(2x^{2}+1)}{x^{3}-3x+2}dx
integral of (x^2+2x^2)	\int\:(x^{2}+2x^{2})dx
integral of csc^5(pi)xcot^3(pi)x	\int\:\csc^{5}(π)x\cot^{3}(π)xdx
integral of (cos^4(2x)-sin^4(2x))	\int\:(\cos^{4}(2x)-\sin^{4}(2x))dx
integral of tan^3(x/3)sec^2(x/3)	\int\:\tan^{3}(\frac{x}{3})\sec^{2}(\frac{x}{3})dx
integral of ((sqrt(z)-1)^2)/(sqrt(z))	\int\:\frac{(\sqrt{z}-1)^{2}}{\sqrt{z}}dz
integral of ((3+x^2))/(csc^2(2x))	\int\:\frac{(3+x^{2})}{\csc^{2}(2x)}dx
integral of xsec^2(1/3)x	\int\:x\sec^{2}(\frac{1}{3})xdx
integral of (x+3)/(\sqrt[3]{x-5)}	\int\:\frac{x+3}{\sqrt[3]{x-5}}dx
integral of x^8(1-x^3)^{5/4}	\int\:x^{8}(1-x^{3})^{\frac{5}{4}}dx
integral of xysin(x^2+y^2)	\int\:xy\sin(x^{2}+y^{2})dx
integral of (sin(x)-cos(x))/(cos^2(x))	\int\:\frac{\sin(x)-\cos(x)}{\cos^{2}(x)}dx
integral of (49.1-0.55b)x-0.55x	\int\:(49.1-0.55b)x-0.55xdx
integral of (40)/(x^2sqrt(x^2+64))	\int\:\frac{40}{x^{2}\sqrt{x^{2}+64}}dx
integral of 3(2x-1)^2	\int\:3(2x-1)^{2}dx
integral of \sqrt[3]{7+x^5}x^4	\int\:\sqrt[3]{7+x^{5}}x^{4}dx
integral of x^2e^{3x^3-1}	\int\:x^{2}e^{3x^{3}-1}dx
integral of (3x^3)/(x-2)	\int\:\frac{3x^{3}}{x-2}dx
integral of sqrt(x)(14x^2+x)	\int\:\sqrt{x}(14x^{2}+x)dx
integral of 10(3x+4)^2	\int\:10(3x+4)^{2}dx
integral of sin(5x+7)	\int\:\sin(5x+7)dx
integral of 1/4 cos(sqrt(x))	\int\:\frac{1}{4}\cos(\sqrt{x})dx
integral of sqrt(3x^5)	\int\:\sqrt{3x^{5}}dx
integral of (y+2)\sqrt[3]{2-3y}	\int\:(y+2)\sqrt[3]{2-3y}dy
integral of e^{(x+5)}	\int\:e^{(x+5)}dx
integral of (x^6-2)/(x^4+x^2)	\int\:\frac{x^{6}-2}{x^{4}+x^{2}}dx

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