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Popular Calculus Problems

integral of 1/(3+sqrt(1+2x))	\int\:\frac{1}{3+\sqrt{1+2x}}dx
integral of 4/(x^3)-5xsqrt(x)	\int\:\frac{4}{x^{3}}-5x\sqrt{x}dx
integral of (x^3-6x^2+9x+6)	\int\:(x^{3}-6x^{2}+9x+6)dx
integral of (34)/((1-x^2)^{3/2)}	\int\:\frac{34}{(1-x^{2})^{\frac{3}{2}}}dx
integral of (5x^2-3x+2)/((x-1)(x^2+1))	\int\:\frac{5x^{2}-3x+2}{(x-1)(x^{2}+1)}dx
integral of (3x^{1/2}+x^4)	\int\:(3x^{\frac{1}{2}}+x^{4})dx
integral of 7sec^3(x)	\int\:7\sec^{3}(x)dx
integral of (9sin(x))/(3cos(x))	\int\:\frac{9\sin(x)}{3\cos(x)}dx
integral of 3x*sqrt(x-8)	\int\:3x\cdot\:\sqrt{x-8}dx
integral of 4Ae^{-Ax}	\int\:4Ae^{-Ax}dx
integral of+6xe^{x^2}	\int\:+6xe^{x^{2}}dx
integral of+x^3sqrt(1+9x^4)	\int\:+x^{3}\sqrt{1+9x^{4}}dx
integral of ((10y+11))/(4y^2-4y+5)	\int\:\frac{(10y+11)}{4y^{2}-4y+5}dy
integral of 3sqrt((1+x)/(1-x))	\int\:3\sqrt{\frac{1+x}{1-x}}dx
integral of 10^x+3e^{2x}+x^{-3}	\int\:10^{x}+3e^{2x}+x^{-3}dx
integral of 14xsin(x)cos(x)	\int\:14x\sin(x)\cos(x)dx
integral of arctan(cot(x))	\int\:\arctan(\cot(x))dx
integral of 1/((1+e^{2x))}	\int\:\frac{1}{(1+e^{2x})}dx
integral of (x^3csc^2(x^4))/(cot(x^4))	\int\:\frac{x^{3}\csc^{2}(x^{4})}{\cot(x^{4})}dx
integral of (4x-y)	\int\:(4x-y)dx
integral of ((sqrt(x)-1)^2)/(x^2)	\int\:\frac{(\sqrt{x}-1)^{2}}{x^{2}}dx
integral of (tan(x))/(sqrt(4+3sec(x)))	\int\:\frac{\tan(x)}{\sqrt{4+3\sec(x)}}dx
integral of 5xtan^2(3x^2-5)sec^2(3x^2-5)	\int\:5x\tan^{2}(3x^{2}-5)\sec^{2}(3x^{2}-5)dx
integral of sin(15x)sin(16x)	\int\:\sin(15x)\sin(16x)dx
integral of a/((x^2+a^2)^{3/2)}	\int\:\frac{a}{(x^{2}+a^{2})^{\frac{3}{2}}}dx
integral of (x^3-2)^2	\int\:(x^{3}-2)^{2}dx
integral of (12x^2-6x+2)/((4x+1)(x^2+1))	\int\:\frac{12x^{2}-6x+2}{(4x+1)(x^{2}+1)}dx
integral of 1/((3x+1)^6)	\int\:\frac{1}{(3x+1)^{6}}dx
integral of cos(13-2y)	\int\:\cos(13-2y)dy
integral of (x^3)/((x+1)^4)	\int\:\frac{x^{3}}{(x+1)^{4}}dx
integral of sin^5(x)*cos^6(x)	\int\:\sin^{5}(x)\cdot\:\cos^{6}(x)dx
integral of (x-sqrt(2x))/(x^3)	\int\:\frac{x-\sqrt{2x}}{x^{3}}dx
integral of (3x+4)/(x^3-2x-4)	\int\:\frac{3x+4}{x^{3}-2x-4}dx
integral of (x^2+\sqrt[4]{x})	\int\:(x^{2}+\sqrt[4]{x})dx
integral of (2t^2+1)	\int\:(2t^{2}+1)dt
integral of r*e^{r/2}	\int\:r\cdot\:e^{\frac{r}{2}}dr
integral of (3x)/(3x+5)	\int\:\frac{3x}{3x+5}dx
integral of 2sqrt(2x+3)	\int\:2\sqrt{2x+3}dx
integral of ((x+1))/(x^2+4x-5)	\int\:\frac{(x+1)}{x^{2}+4x-5}dx
integral of (x^2-2x+3)/(x^2+4)	\int\:\frac{x^{2}-2x+3}{x^{2}+4}dx
integral of sec^2(4x)tan^6(4x)	\int\:\sec^{2}(4x)\tan^{6}(4x)dx
integral of cos^3(θ)sqrt(sin(θ))	\int\:\cos^{3}(θ)\sqrt{\sin(θ)}dθ
integral of 7x^6(x^7+2)^5	\int\:7x^{6}(x^{7}+2)^{5}dx
integral of (sin(x))^6(cos(x))^5	\int\:(\sin(x))^{6}(\cos(x))^{5}dx
integral of 8/(9xsqrt(81x^2-64))	\int\:\frac{8}{9x\sqrt{81x^{2}-64}}dx
integral of cos(x^2)x^3	\int\:\cos(x^{2})x^{3}dx
integral of (x^2+3x+2)/(x^3+4x)	\int\:\frac{x^{2}+3x+2}{x^{3}+4x}dx
integral of-5sqrt(x)	\int\:-5\sqrt{x}dx
integral of (e^{2x})/(sqrt(7-e^{4x))}	\int\:\frac{e^{2x}}{\sqrt{7-e^{4x}}}dx
integral of (4x^3-8x^2+4x+3)/(4x^2-8x+5)	\int\:\frac{4x^{3}-8x^{2}+4x+3}{4x^{2}-8x+5}dx
integral of (5x^4-3x^4+4x^2-2+6)	\int\:(5x^{4}-3x^{4}+4x^{2}-2+6)dx
integral of xsqrt(17x-14)	\int\:x\sqrt{17x-14}dx
integral of e^{x^{13}}	\int\:e^{x^{13}}dx
integral of (cos(9x))/(sec(9x)-tan(9x))	\int\:\frac{\cos(9x)}{\sec(9x)-\tan(9x)}dx
integral of (tan(y))/(sin^2(y))	\int\:\frac{\tan(y)}{\sin^{2}(y)}dy
integral of (x^3-1)/((4x^2-1)^2)	\int\:\frac{x^{3}-1}{(4x^{2}-1)^{2}}dx
integral of e^{-x}sin(2x+1)	\int\:e^{-x}\sin(2x+1)dx
integral of 1/(2-3e^{-x)}	\int\:\frac{1}{2-3e^{-x}}dx
integral of 1/(sqrt(x^2-1))	integral\:\frac{1}{\sqrt{x^{2}-1}}
integral of-cos(x)2	\int\:-\cos(x)2dx
integral of s/(sqrt(s+1))	\int\:\frac{s}{\sqrt{s+1}}ds
integral of 1/(sqrt((x-1)^2-b^2))	\int\:\frac{1}{\sqrt{(x-1)^{2}-b^{2}}}dx
integral of sin(21x)sin(22x)	\int\:\sin(21x)\sin(22x)dx
integral of cos^4(4x)sin(4x)	\int\:\cos^{4}(4x)\sin(4x)dx
integral of 1/(x(x+35))	\int\:\frac{1}{x(x+35)}dx
integral of (xy+z)	\int\:(xy+z)dz
integral of x*sin^3(3x)	\int\:x\cdot\:\sin^{3}(3x)dx
integral of (4x^2+4x+4)/((x^2+1)^2)	\int\:\frac{4x^{2}+4x+4}{(x^{2}+1)^{2}}dx
integral of (9t^2-2)/(3t+1)	\int\:\frac{9t^{2}-2}{3t+1}dt
integral of x/((x-1)(x^2+6x+11))	\int\:\frac{x}{(x-1)(x^{2}+6x+11)}dx
integral of y^3sqrt(1+y)	\int\:y^{3}\sqrt{1+y}dy
integral of (5/(x+2)+3/((x+2)^2))	\int\:(\frac{5}{x+2}+\frac{3}{(x+2)^{2}})dx
integral of ((2x+1))/((x^2+9))	\int\:\frac{(2x+1)}{(x^{2}+9)}dx
integral of (-x)/(x^3-3x^2+2x)	\int\:\frac{-x}{x^{3}-3x^{2}+2x}dx
integral of 1/(5-2x^2)	\int\:\frac{1}{5-2x^{2}}dx
integral of (2x+5)/(sqrt(-x^2-6x+16))	\int\:\frac{2x+5}{\sqrt{-x^{2}-6x+16}}dx
integral of e^{1/50 t}	\int\:e^{\frac{1}{50}t}dt
integral of e^{(ax+b)}	\int\:e^{(ax+b)}dx
integral of (x^2)/((25+x^2)^{5/2)}	\int\:\frac{x^{2}}{(25+x^{2})^{\frac{5}{2}}}dx
integral of cos^3(y)sin^3(2y)	\int\:\cos^{3}(y)\sin^{3}(2y)dy
integral of-3/100	\int\:-\frac{3}{100}
integral of (x-3)/(sqrt(x^2-5x+1))	\int\:\frac{x-3}{\sqrt{x^{2}-5x+1}}dx
integral of (x^2-4x+1)/(x-1)	\int\:\frac{x^{2}-4x+1}{x-1}dx
integral of xcos((nx)/2)	\int\:x\cos(\frac{nx}{2})dx
integral of (e^2x)/((1+3e^2x))	\int\:\frac{e^{2}x}{(1+3e^{2}x)}dx
integral of 1/(xsqrt(49x^2-16))	\int\:\frac{1}{x\sqrt{49x^{2}-16}}dx
integral of 4/(x(1+ln^2(x)))	\int\:\frac{4}{x(1+\ln^{2}(x))}dx
integral of (4x+6)/(5(x^2+9))	\int\:\frac{4x+6}{5(x^{2}+9)}dx
integral of (2x^3+5x^2-4)/(x^2)	\int\:\frac{2x^{3}+5x^{2}-4}{x^{2}}dx
integral of-15xsqrt(x+1)	\int\:-15x\sqrt{x+1}dx
integral of (23x^2)/((x+1)(x^2+1))	\int\:\frac{23x^{2}}{(x+1)(x^{2}+1)}dx
integral of (6x^2-3x)/((x-2)(x+4))	\int\:\frac{6x^{2}-3x}{(x-2)(x+4)}dx
integral of 2+4x+42x^2	\int\:2+4x+42x^{2}dx
integral of 2/((x+4)(x+6))	\int\:\frac{2}{(x+4)(x+6)}dx
integral of 3/(4x^2-1)	\int\:\frac{3}{4x^{2}-1}dx
integral of 5/(xsqrt(4x^4-9))	\int\:\frac{5}{x\sqrt{4x^{4}-9}}dx
integral of (tan^2(6x))/(csc(6x))	\int\:\frac{\tan^{2}(6x)}{\csc(6x)}dx
integral of 1/(cos^2(x)-sin^2(x))	\int\:\frac{1}{\cos^{2}(x)-\sin^{2}(x)}dx
integral of x*\sqrt[3]{x^2+4}	\int\:x\cdot\:\sqrt[3]{x^{2}+4}dx
integral of tan^5(2x)sec^7(2x)	\int\:\tan^{5}(2x)\sec^{7}(2x)dx

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