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Popular Calculus Problems

integral of e^xsin(npix)	\int\:e^{x}\sin(nπx)dx
integral of sqrt(x+1)(x+2)	\int\:\sqrt{x+1}(x+2)dx
integral of (6x^2+8x-sin(x))	\int\:(6x^{2}+8x-\sin(x))dx
integral of (6x+4)/(1+(3x+2)^4)	\int\:\frac{6x+4}{1+(3x+2)^{4}}dx
integral of (x+8)^6	\int\:(x+8)^{6}dx
integral of sqrt(x^2-7)	\int\:\sqrt{x^{2}-7}dx
integral of 2-2/x	\int\:2-\frac{2}{x}dx
integral of (2x-10)/(x^2-10x+106)	\int\:\frac{2x-10}{x^{2}-10x+106}dx
integral of (-5x^3)/(x^3+1)	\int\:\frac{-5x^{3}}{x^{3}+1}dx
integral of (4x^3+x+1)/((x-1)(x^2+x+1))	\int\:\frac{4x^{3}+x+1}{(x-1)(x^{2}+x+1)}dx
integral of rcsin(x)	\int\:d\arcsin(x)dx
integral of 7sin^7(x)	\int\:7\sin^{7}(x)dx
integral of (xe^{6x})	\int\:(xe^{6x})dx
integral of sin((pix)/l)	\int\:\sin(\frac{πx}{l})dx
integral of cos((2pix)/L)	\int\:\cos(\frac{2πx}{L})dx
integral of (2(1+x))/((1-2x-x^2))	\int\:\frac{2(1+x)}{(1-2x-x^{2})}dx
integral of 2sqrt(x^2)	\int\:2\sqrt{x^{2}}dx
integral of ln(4)x^2	\int\:\ln(4)x^{2}dx
integral of ((e^u))/((4-e^u)^2)	\int\:\frac{(e^{u})}{(4-e^{u})^{2}}du
integral of 5xe^{x+4}	\int\:5xe^{x+4}dx
integral of 1/((16-x^2)^{5/2)}	\int\:\frac{1}{(16-x^{2})^{\frac{5}{2}}}dx
integral of 4t+0	\int\:4t+0dt
integral of (5x-4)^5	\int\:(5x-4)^{5}dx
integral of 1/(ln(x^3))	\int\:\frac{1}{\ln(x^{3})}dx
integral of (x^3)/(x^2+x)	\int\:\frac{x^{3}}{x^{2}+x}dx
integral of x^3-2/(x^2)+2	\int\:x^{3}-\frac{2}{x^{2}}+2dx
integral of x/(16-6x-x^2)	\int\:\frac{x}{16-6x-x^{2}}dx
integral of (7x^2+x^{-4})	\int\:(7x^{2}+x^{-4})dx
integral of 4t-4	\int\:4t-4dt
integral of ((e^x+1))/(e^x-1)	\int\:\frac{(e^{x}+1)}{e^{x}-1}dx
integral of 8*2^{-x}-1	\int\:8\cdot\:2^{-x}-1dx
integral of 3cos(x^2)	\int\:3\cos(x^{2})dx
integral of (csc(5x)+cot(5x))^2	\int\:(\csc(5x)+\cot(5x))^{2}dx
integral of sin^3(r)cos^8(r)	\int\:\sin^{3}(r)\cos^{8}(r)dr
integral of 3/(sqrt(5-5x^2))	\int\:\frac{3}{\sqrt{5-5x^{2}}}dx
integral of (7e^{2x})/(e^{2x)+11e^x+18}	\int\:\frac{7e^{2x}}{e^{2x}+11e^{x}+18}dx
integral of 2/3 sin(x)	\int\:\frac{2}{3}\sin(x)dx
integral of (3x)/(sqrt(3x^2-4))	\int\:\frac{3x}{\sqrt{3x^{2}-4}}dx
integral of (3x^3-x-2)/(x^4-16)	\int\:\frac{3x^{3}-x-2}{x^{4}-16}dx
integral of 1/((2x^2+1))	\int\:\frac{1}{(2x^{2}+1)}dx
integral of x^2(e^{x^3})	\int\:x^{2}(e^{x^{3}})dx
integral of 2tcos(t^2)	\int\:2t\cos(t^{2})dt
integral of (3x^2)/(sqrt(1-12x^3))	\int\:\frac{3x^{2}}{\sqrt{1-12x^{3}}}dx
integral of (4-5x)e^{-2x}	\int\:(4-5x)e^{-2x}dx
integral of 1/((1+x)^5)	\int\:\frac{1}{(1+x)^{5}}dx
integral of (sin(1/x))/(3x^2)	\int\:\frac{\sin(\frac{1}{x})}{3x^{2}}dx
integral of-1/(sqrt(1+x^2))	\int\:-\frac{1}{\sqrt{1+x^{2}}}dx
integral of 3x^2-6-2e^{2x}	\int\:3x^{2}-6-2e^{2x}dx
integral of (x+2)sqrt(8-x)	\int\:(x+2)\sqrt{8-x}dx
integral of (ye^{2y})/((1+2y)^2)	\int\:\frac{ye^{2y}}{(1+2y)^{2}}dy
integral of x^2 1/(sqrt(9-x^2))	\int\:x^{2}\frac{1}{\sqrt{9-x^{2}}}dx
integral of (8x)/((5-2x)^5)	\int\:\frac{8x}{(5-2x)^{5}}dx
integral of (x+2)sin(x/2)	\int\:(x+2)\sin(\frac{x}{2})dx
integral of (1/x+5)^2	\int\:(\frac{1}{x}+5)^{2}dx
integral of ((x^4+9x^2+x+2))/(x^2+9)	\int\:\frac{(x^{4}+9x^{2}+x+2)}{x^{2}+9}dx
integral of cos(5x+4)	\int\:\cos(5x+4)dx
integral of (-csc^2(x))/(cot^7(x))	\int\:\frac{-\csc^{2}(x)}{\cot^{7}(x)}dx
integral of-(x^4+2)/4	\int\:-\frac{x^{4}+2}{4}dx
integral of (xsqrt(x^2+4))	\int\:(x\sqrt{x^{2}+4})dx
integral of 18x*e^{3x}	\int\:18x\cdot\:e^{3x}dx
integral of (2x+3)^2\sqrt[3]{x-2}	\int\:(2x+3)^{2}\sqrt[3]{x-2}dx
integral of (1+tan^2(x))/(tan(x))	\int\:\frac{1+\tan^{2}(x)}{\tan(x)}dx
integral of t/(sqrt(t^2-4))	\int\:\frac{t}{\sqrt{t^{2}-4}}dt
integral of sqrt(4+2r^2)r	\int\:\sqrt{4+2r^{2}}rdr
integral of (sqrt(1-4x^2))	\int\:(\sqrt{1-4x^{2}})dx
integral of sin(3x)x	\int\:\sin(3x)xdx
integral of 3csc^2(2x)	\int\:3\csc^{2}(2x)dx
integral of 9x-7	\int\:9x-7dx
integral of 3^{-2x+1}	\int\:3^{-2x+1}dx
integral of 5/(sqrt(16-9x^2))	\int\:\frac{5}{\sqrt{16-9x^{2}}}dx
integral of 2/(3x^2)	integral\:\frac{2}{3x^{2}}
integral of (ln(x))/(x(sqrt(1+ln(x))))	\int\:\frac{\ln(x)}{x(\sqrt{1+\ln(x)})}dx
integral of 4x+6x^2	\int\:4x+6x^{2}dx
integral of sqrt(x^2+21)	\int\:\sqrt{x^{2}+21}dx
integral of (x+2)^{15}	\int\:(x+2)^{15}dx
integral of 1/(sqrt(12+x^2))	\int\:\frac{1}{\sqrt{12+x^{2}}}dx
integral of ((ln(x)+1)^2)/(xln(x))	\int\:\frac{(\ln(x)+1)^{2}}{x\ln(x)}dx
integral of (x+2)/(e^x)	\int\:\frac{x+2}{e^{x}}dx
integral of ((x))/(x^2+4)	\int\:\frac{(x)}{x^{2}+4}dx
integral of sin(38t)sec^2(cos(38t))	\int\:\sin(38t)\sec^{2}(\cos(38t))dt
integral of 1/(sqrt(2^x)-1)	\int\:\frac{1}{\sqrt{2^{x}}-1}dx
integral of 3sqrt(x^7)	\int\:3\sqrt{x^{7}}dx
integral of 1/((4-9x^2))	\int\:\frac{1}{(4-9x^{2})}dx
integral of (x^3)/(x^3-3x+2)	\int\:\frac{x^{3}}{x^{3}-3x+2}dx
integral of ((2x+4))/(x^3-2x^2)	\int\:\frac{(2x+4)}{x^{3}-2x^{2}}dx
integral of-3e^{-4x}cos(e^{-4x})	\int\:-3e^{-4x}\cos(e^{-4x})dx
integral of (4x^3+5x)/(2x)	\int\:\frac{4x^{3}+5x}{2x}dx
integral of (esqrt(6x+2))/(sqrt(6x+2))	\int\:\frac{e\sqrt{6x+2}}{\sqrt{6x+2}}dx
integral of e^{tan(35x)}sec^2(35x)	\int\:e^{\tan(35x)}\sec^{2}(35x)dx
integral of x^2cos((npix)/2)	\int\:x^{2}\cos(\frac{nπx}{2})dx
integral of (2-5x)^5	\int\:(2-5x)^{5}dx
integral of ((2^x))/(2^x+1)	\int\:\frac{(2^{x})}{2^{x}+1}dx
integral of-xcos(2x+3)	\int\:-x\cos(2x+3)dx
integral of 1/(cos^2(v))	\int\:\frac{1}{\cos^{2}(v)}dv
integral of sqrt(3x^2+5x+7)	\int\:\sqrt{3x^{2}+5x+7}dx
integral of (tan(x)ln(cos(x)))	\int\:(\tan(x)\ln(\cos(x)))dx
integral of ((a^x-b^x)^2)/(a^x-b^x)	\int\:\frac{(a^{x}-b^{x})^{2}}{a^{x}-b^{x}}dx
integral of 1/(2xlog_{2)(x)}	\int\:\frac{1}{2x\log_{2}(x)}dx
integral of csc^2(-r/2)	\int\:\csc^{2}(-\frac{r}{2})dr
integral of ((-3)/(1-2x)+2sin(5-6x))	\int\:(\frac{-3}{1-2x}+2\sin(5-6x))dx

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