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Popular Calculus Problems

integral of 1/(6\sqrt[6]{x^5)}	\int\:\frac{1}{6\sqrt[6]{x^{5}}}dx
integral of 1/((x-1)^2+2)	\int\:\frac{1}{(x-1)^{2}+2}dx
integral of (e^{2x}\sqrt[3]{e^x+2})	\int\:(e^{2x}\sqrt[3]{e^{x}+2})dx
integral of-2/(1+x)	\int\:-\frac{2}{1+x}dx
integral of sin(4x)sin(6x)	\int\:\sin(4x)\sin(6x)dx
integral of (sqrt(x)+1)/(x+3)	\int\:\frac{\sqrt{x}+1}{x+3}dx
integral of-2/(x^{1/2)}+3	\int\:-\frac{2}{x^{\frac{1}{2}}}+3dx
integral of 10(5x-2)^2	\int\:10(5x-2)^{2}dx
integral of 1/(x^3sqrt(x^2-a^2))	\int\:\frac{1}{x^{3}\sqrt{x^{2}-a^{2}}}dx
integral of 150x	\int\:150xdx
integral of sin(41x)sin(cos(41x))	\int\:\sin(41x)\sin(\cos(41x))dx
integral of 1/(sqrt(5x+9))	\int\:\frac{1}{\sqrt{5x+9}}dx
integral of (x^8-2x^4)^3(x^7-x^3)	\int\:(x^{8}-2x^{4})^{3}(x^{7}-x^{3})dx
integral of 1/((64x^2+1)^2)	\int\:\frac{1}{(64x^{2}+1)^{2}}dx
integral of sec^2(piw)+e^{-3w}	\int\:\sec^{2}(πw)+e^{-3w}dw
integral of 3^{4x+3}	\int\:3^{4x+3}dx
integral of (3x-1)^{10}	\int\:(3x-1)^{10}dx
integral of 3e^{-9x}	\int\:3e^{-9x}dx
integral of cos((pix)/2)+picos(x)	\int\:\cos(\frac{πx}{2})+π\cos(x)dx
integral of 6xln(x^6)	\int\:6x\ln(x^{6})dx
integral of 5*4^x	\int\:5\cdot\:4^{x}dx
integral of sqrt(9x+37)	\int\:\sqrt{9x+37}dx
integral of (4x)/(100+16x^4)	\int\:\frac{4x}{100+16x^{4}}dx
integral of sin(12t)sec^2(cos(12t))	\int\:\sin(12t)\sec^{2}(\cos(12t))dt
integral of sin^7(3x)cos^2(3x)	\int\:\sin^{7}(3x)\cos^{2}(3x)dx
integral of 6s(1+3s^2)^3	\int\:6s(1+3s^{2})^{3}ds
integral of 1/((y-3))	\int\:\frac{1}{(y-3)}dy
integral of 1/2 x^{-3}ln(3/5 x)	\int\:\frac{1}{2}x^{-3}\ln(\frac{3}{5}x)dx
integral of e^{-x}cos(pix)	\int\:e^{-x}\cos(πx)dx
integral of (2/(\sqrt[6]{x)})	\int\:(\frac{2}{\sqrt[6]{x}})dx
integral of 10-2t	\int\:10-2tdt
integral of (x^2+6x+4)/(x^3+9x^2+12x+9)	\int\:\frac{x^{2}+6x+4}{x^{3}+9x^{2}+12x+9}dx
integral of \sqrt[3]{x^3-2}*(6x^2)	\int\:\sqrt[3]{x^{3}-2}\cdot\:(6x^{2})dx
integral of-x^2-2x+2	\int\:-x^{2}-2x+2dx
integral of 6xsin(3x)	\int\:6x\sin(3x)dx
integral of (x-1)/((x+1)(x+4))	\int\:\frac{x-1}{(x+1)(x+4)}dx
integral of 1/(64-v^2)	\int\:\frac{1}{64-v^{2}}dv
integral of 7x^3e^{x^2}	\int\:7x^{3}e^{x^{2}}dx
integral of (x^5+1)/(x^3(x+2))	\int\:\frac{x^{5}+1}{x^{3}(x+2)}dx
integral of ((ln(x))^2)/((x))	\int\:\frac{(\ln(x))^{2}}{(x)}dx
integral of (3^{2x})/(4+3^{2x)}	\int\:\frac{3^{2x}}{4+3^{2x}}dx
integral of 6/(x+3)	\int\:\frac{6}{x+3}dx
integral of x/(16-x^2)	\int\:\frac{x}{16-x^{2}}dx
integral of (1+2x^2)/(x^2*(1+x^2))	\int\:\frac{1+2x^{2}}{x^{2}\cdot\:(1+x^{2})}dx
integral of 30e^{0.3t}	\int\:30e^{0.3t}dt
integral of 3xsec^2(x^2)	\int\:3x\sec^{2}(x^{2})dx
integral of cos^{12}(7t)sin(7t)	\int\:\cos^{12}(7t)\sin(7t)dt
integral of 1/(2x^2-2+1)	\int\:\frac{1}{2x^{2}-2+1}dx
integral of (x^7)/((4-x^4)^2)	\int\:\frac{x^{7}}{(4-x^{4})^{2}}dx
integral of (tan^6(x))/(sec^7(x))	\int\:\frac{\tan^{6}(x)}{\sec^{7}(x)}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 tan^2(x)(sec^2(x))	\int\:\tan^{2}(x)(\sec^{2}(x))dx
integral of (4x^3+5x^2-7x)	\int\:(4x^{3}+5x^{2}-7x)dx
integral of-sin(u)	\int\:-\sin(u)du
integral of (x^2)/(sqrt((4-9x^2)))	\int\:\frac{x^{2}}{\sqrt{(4-9x^{2})}}dx
integral of x^3sqrt(16-4x^2)	\int\:x^{3}\sqrt{16-4x^{2}}dx
integral of x/(sqrt(16x^2-1))	\int\:\frac{x}{\sqrt{16x^{2}-1}}dx
integral of (5x^4-2x^5)	\int\:(5x^{4}-2x^{5})dx
integral of (1/((5x-3)(3-4x)))	\int\:(\frac{1}{(5x-3)(3-4x)})dx
integral of (arctan(2t))/(1+4t^2)	\int\:\frac{\arctan(2t)}{1+4t^{2}}dt
integral of (e^{3x})/(sqrt(4+e^{6x))}	\int\:\frac{e^{3x}}{\sqrt{4+e^{6x}}}dx
integral of (6x+15)/(x^2+4x+20)	\int\:\frac{6x+15}{x^{2}+4x+20}dx
integral of (10x+5)	\int\:(10x+5)dx
integral of x/(x^2+2x+17)	\int\:\frac{x}{x^{2}+2x+17}dx
integral of ((-1)^{n+1}(x-7)^n)/n	\int\:\frac{(-1)^{n+1}(x-7)^{n}}{n}dx
integral of e^{-int}	\int\:e^{-int}dt
integral of 9x*e^{3x}	\int\:9x\cdot\:e^{3x}dx
integral of 1/x e^{x^2}	\int\:\frac{1}{x}e^{x^{2}}dx
integral of (3x^2)/(2(9x^2+1))	\int\:\frac{3x^{2}}{2(9x^{2}+1)}dx
integral of (e^{2t})/t	\int\:\frac{e^{2t}}{t}dt
integral of 12x^3+1/(6sqrt(x))-3/(2x^4)	\int\:12x^{3}+\frac{1}{6\sqrt{x}}-\frac{3}{2x^{4}}dx
integral of 1/(2+(x-1)^2)	\int\:\frac{1}{2+(x-1)^{2}}dx
integral of e^x(1+4e^x)^2	\int\:e^{x}(1+4e^{x})^{2}dx
integral of (-2)/(x^2+x)	\int\:\frac{-2}{x^{2}+x}dx
integral of cos^5(2x)sin(2x)	\int\:\cos^{5}(2x)\sin(2x)dx
integral of-(1/(x^2))	\int\:-(\frac{1}{x^{2}})dx
integral of e^{9x}+5e^{-x}	\int\:e^{9x}+5e^{-x}dx
integral of e^{5-4x}	\int\:e^{5-4x}dx
integral of 1/(x^3+4x^2+5x)	\int\:\frac{1}{x^{3}+4x^{2}+5x}dx
integral of (ln(2x))/(xsqrt(1+ln(x)))	\int\:\frac{\ln(2x)}{x\sqrt{1+\ln(x)}}dx
integral of (1/(tan(x)))	\int\:(\frac{1}{\tan(x)})dx
integral of 3sin(x)(cos(x))^2	\int\:3\sin(x)(\cos(x))^{2}dx
integral of ln(9sqrt(x))	\int\:\ln(9\sqrt{x})dx
integral of (2x+1)sin(x^2+x)	\int\:(2x+1)\sin(x^{2}+x)dx
integral of (3x^{-4})	\int\:(3x^{-4})dx
integral of (x+1)/(\sqrt[3]{x^2+2x+1)}	\int\:\frac{x+1}{\sqrt[3]{x^{2}+2x+1}}dx
integral of 4x(2x-1)(4x+1)	\int\:4x(2x-1)(4x+1)dx
integral of (7x^2-2)/(x^2)	\int\:\frac{7x^{2}-2}{x^{2}}dx
integral of 2sqrt(x^2+1)	\int\:2\sqrt{x^{2}+1}dx
integral of (x^2)/(sqrt(16-9x^2))	\int\:\frac{x^{2}}{\sqrt{16-9x^{2}}}dx
integral of (4x-1)*ln(x)	\int\:(4x-1)\cdot\:\ln(x)dx
integral of 2e^x+sec(x)tan(x)-sqrt(x)	\int\:2e^{x}+\sec(x)\tan(x)-\sqrt{x}dx
integral of ax+by	\int\:ax+bydx
integral of (2)5^{x^2+7}	\int\:(2)5^{x^{2}+7}dx
integral of (x^3)/(3x^2+3)	\int\:\frac{x^{3}}{3x^{2}+3}dx
integral of (2x+1)*(x^2+x+1)	\int\:(2x+1)\cdot\:(x^{2}+x+1)dx
integral of e^{-2ix}	\int\:e^{-2ix}dx
integral of 1/(2e^x+3)	\int\:\frac{1}{2e^{x}+3}dx
integral of (7x-1)/(x^2+x-2)	\int\:\frac{7x-1}{x^{2}+x-2}dx
integral of (-7sqrt(x^2-9))/(x^3)	\int\:\frac{-7\sqrt{x^{2}-9}}{x^{3}}dx

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