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Popular Calculus Problems

integral of sqrt(9+y^2)y	\int\:\sqrt{9+y^{2}}ydy
integral of 1/(sqrt(5x^2-x-1))	\int\:\frac{1}{\sqrt{5x^{2}-x-1}}dx
integral of (x^5)/(x-2)	\int\:\frac{x^{5}}{x-2}dx
integral of cos(3x)sin^{10}(3x)	\int\:\cos(3x)\sin^{10}(3x)dx
integral of (x^2+x)/(2x^3+3x^2)	\int\:\frac{x^{2}+x}{2x^{3}+3x^{2}}dx
integral of 1/((1+t^2)^2)	\int\:\frac{1}{(1+t^{2})^{2}}dt
integral of sin(sqrt(2)x)	\int\:\sin(\sqrt{2}x)dx
integral of pi/x	\int\:\frac{π}{x}dx
integral of sec(9x)tan(9x)	\int\:\sec(9x)\tan(9x)dx
integral of (1-y^2)^{1/2}	\int\:(1-y^{2})^{\frac{1}{2}}dy
integral of (5-x)/(x^3)	\int\:\frac{5-x}{x^{3}}dx
integral of 1/(8-12x-x^2)	\int\:\frac{1}{8-12x-x^{2}}dx
integral of (x+3)^2e^x	\int\:(x+3)^{2}e^{x}dx
integral of e^{6x^2}	\int\:e^{6x^{2}}dx
integral of (6x^2+3x-44)/(x^2+x-6)	\int\:\frac{6x^{2}+3x-44}{x^{2}+x-6}dx
integral of sec^{13}(x)tan(x)	\int\:\sec^{13}(x)\tan(x)dx
integral of xcot(x^2+1)	\int\:x\cot(x^{2}+1)dx
integral of (((ln(x))^8))/x	\int\:\frac{((\ln(x))^{8})}{x}dx
integral of 1/(x^2sqrt(1+4x^2))	\int\:\frac{1}{x^{2}\sqrt{1+4x^{2}}}dx
integral of (x^2-3x+2)/(sqrt(x-1))	\int\:\frac{x^{2}-3x+2}{\sqrt{x-1}}dx
integral of cos(θ)sin^3(θ)	\int\:\cos(θ)\sin^{3}(θ)dθ
integral of (x^2+2^x)	\int\:(x^{2}+2^{x})dx
integral of (2x)/(x^2+6x+9)	\int\:\frac{2x}{x^{2}+6x+9}dx
integral of 1/(3x^7)	\int\:\frac{1}{3x^{7}}dx
integral of x^6sin(x)	\int\:x^{6}\sin(x)dx
integral of (9x^2+5)/(3x)	\int\:\frac{9x^{2}+5}{3x}dx
integral of 1/((2\times 2+1)sqrt(x^2+1))	\int\:\frac{1}{(2\times\:2+1)\sqrt{x^{2}+1}}dx
integral of (ln(x))/(sqrt(x-1))	\int\:\frac{\ln(x)}{\sqrt{x-1}}dx
integral of (e^x)/((e^x+1)^{16)}	\int\:\frac{e^{x}}{(e^{x}+1)^{16}}dx
integral of-1/(1-x^2)	\int\:-\frac{1}{1-x^{2}}dx
integral of (sin(x)+sec(x))/(tan(x))	\int\:\frac{\sin(x)+\sec(x)}{\tan(x)}dx
integral of (4x+2)^3	\int\:(4x+2)^{3}dx
integral of x^2(sqrt(1-x))	\int\:x^{2}(\sqrt{1-x})dx
integral of ((x+1))/(\sqrt[3]{x^2+2x+1)}	\int\:\frac{(x+1)}{\sqrt[3]{x^{2}+2x+1}}dx
integral of ((x-2)^2)/x	\int\:\frac{(x-2)^{2}}{x}dx
integral of (x^2)/(sqrt(9x^2+4))	\int\:\frac{x^{2}}{\sqrt{9x^{2}+4}}dx
integral of (2xy^2-3)	\int\:(2xy^{2}-3)dx
integral of 64qsqrt(q^2+4)	\int\:64q\sqrt{q^{2}+4}dq
integral of 1/(4x^2+4x-3)	\int\:\frac{1}{4x^{2}+4x-3}dx
integral of cot^2(x)csc^3(x)	\int\:\cot^{2}(x)\csc^{3}(x)dx
integral of 1/(2y-3)	\int\:\frac{1}{2y-3}dy
integral of (3x-2)/((x+1)^2(x-1))	\int\:\frac{3x-2}{(x+1)^{2}(x-1)}dx
integral of sin^2(wx)	\int\:\sin^{2}(wx)dx
integral of (5x^2)/(e^{2x^3)}	\int\:\frac{5x^{2}}{e^{2x^{3}}}dx
integral of 2e^{x^2}x	\int\:2e^{x^{2}}xdx
integral of (-x^5+9)	\int\:(-x^{5}+9)dx
integral of cos^2(pix)sin(pix)	\int\:\cos^{2}(πx)\sin(πx)dx
integral of e^{t^4}	\int\:e^{t^{4}}dt
integral of xe^{x/a}	\int\:xe^{\frac{x}{a}}dx
integral of ((x^3-x^2-12))/x	\int\:\frac{(x^{3}-x^{2}-12)}{x}dx
integral of 1/(xsqrt(2x^2-1))	\int\:\frac{1}{x\sqrt{2x^{2}-1}}dx
integral of (e^{4x}-x^{-1})	\int\:(e^{4x}-x^{-1})dx
integral of xarctan(x)ln(1+x^2)	\int\:x\arctan(x)\ln(1+x^{2})dx
integral of 1/(x^2+8x+7)	\int\:\frac{1}{x^{2}+8x+7}dx
integral of s^2	\int\:s^{2}ds
integral of (2x)/(5x+1)	\int\:\frac{2x}{5x+1}dx
integral of x^2+9sqrt(x)	\int\:x^{2}+9\sqrt{x}dx
integral of y-e^xz^2	\int\:y-e^{x}z^{2}dx
integral of (x-y)^2	\int\:(x-y)^{2}dx
integral of e^{ln(3x)}	\int\:e^{\ln(3x)}dx
integral of 2xe^{x^2+3y}	\int\:2xe^{x^{2}+3y}dx
integral of (sin(x))^2(cos(x))^3	\int\:(\sin(x))^{2}(\cos(x))^{3}dx
integral of tsqrt(t-3)	\int\:t\sqrt{t-3}dt
integral of (2x-3)/(x^2-3x+4)	\int\:\frac{2x-3}{x^{2}-3x+4}dx
integral of (x+cos(x))	\int\:(x+\cos(x))dx
integral of (e^{3x})/(1+e^{2x)}	\int\:\frac{e^{3x}}{1+e^{2x}}dx
integral of (x^2)/(sqrt(4-x^3))	\int\:\frac{x^{2}}{\sqrt{4-x^{3}}}dx
integral of 5sin(x)cos(cos(x))	\int\:5\sin(x)\cos(\cos(x))dx
integral of e^{2x-5}	\int\:e^{2x-5}dx
integral of (-2x)/(sqrt(1-x^2))	\int\:\frac{-2x}{\sqrt{1-x^{2}}}dx
integral of (x^2)/(x^4)	\int\:\frac{x^{2}}{x^{4}}dx
integral of 1/(cos(x)sin^2(x))	\int\:\frac{1}{\cos(x)\sin^{2}(x)}dx
integral of (-3)/(4+x^2)	\int\:\frac{-3}{4+x^{2}}dx
integral of (4x-1)^4	\int\:(4x-1)^{4}dx
integral of e^{(4x)/3}	\int\:e^{\frac{4x}{3}}dx
integral of (3x-5x^2)/((3x-1)(x-1)^2)	\int\:\frac{3x-5x^{2}}{(3x-1)(x-1)^{2}}dx
integral of ((8+sqrt(x)+x))/x	\int\:\frac{(8+\sqrt{x}+x)}{x}dx
integral of (5e^5sqrt(x))/(sqrt(x))	\int\:\frac{5e^{5}\sqrt{x}}{\sqrt{x}}dx
integral of (x^2+x-2)/((3x-1)(x^2+1))	\int\:\frac{x^{2}+x-2}{(3x-1)(x^{2}+1)}dx
integral of csc(x)(cot(x)-csc(x))	\int\:\csc(x)(\cot(x)-\csc(x))dx
integral of 1/(1-6y)	\int\:\frac{1}{1-6y}dy
integral of 5/(csc(x))	\int\:\frac{5}{\csc(x)}dx
integral of 1/(sqrt(2x+3)+\sqrt{2x-1)}	\int\:\frac{1}{\sqrt{2x+3}+\sqrt{2x-1}}dx
integral of 2/(sqrt(4x^2-9))	\int\:\frac{2}{\sqrt{4x^{2}-9}}dx
integral of ((x^3+2x^2-7x)/x)	\int\:(\frac{x^{3}+2x^{2}-7x}{x})dx
integral of (cos(x))^4sin(x)	\int\:(\cos(x))^{4}\sin(x)dx
integral of (2x)/(sqrt(16-x^2))	\int\:\frac{2x}{\sqrt{16-x^{2}}}dx
integral of 1/(e^{-5x)+2}	\int\:\frac{1}{e^{-5x}+2}dx
integral of (x^3)/(sqrt(1-9x^8))	\int\:\frac{x^{3}}{\sqrt{1-9x^{8}}}dx
integral of ((x-9))/(x^2+3x-10)	\int\:\frac{(x-9)}{x^{2}+3x-10}dx
integral of 4/(x^3+1)	\int\:\frac{4}{x^{3}+1}dx
integral of (10)/((r-1)^2(r^2+9))	\int\:\frac{10}{(r-1)^{2}(r^{2}+9)}dr
integral of 3/((x+2)sqrt(x^2+4x+3))	\int\:\frac{3}{(x+2)\sqrt{x^{2}+4x+3}}dx
integral of t/(sqrt(1+t^2))	\int\:\frac{t}{\sqrt{1+t^{2}}}dt
integral of (x^2-9x-1)	\int\:(x^{2}-9x-1)dx
integral of (2x)/((1+x)(1+x^2)^2)	\int\:\frac{2x}{(1+x)(1+x^{2})^{2}}dx
integral of x/(1+sqrt(1+x^2))	\int\:\frac{x}{1+\sqrt{1+x^{2}}}dx
integral of (3/(x^3)-1/(\sqrt[3]{x)})	\int\:(\frac{3}{x^{3}}-\frac{1}{\sqrt[3]{x}})dx
integral of (t^2)/(sqrt(1-t^2))	\int\:\frac{t^{2}}{\sqrt{1-t^{2}}}dt
integral of (sin(x))/((sin(x)+cos(x)))	\int\:\frac{\sin(x)}{(\sin(x)+\cos(x))}dx

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