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Popular Calculus Problems

integral of x^{x/(ln(x))}	\int\:x^{\frac{x}{\ln(x)}}dx
integral of 2t^2+1	\int\:2t^{2}+1dt
integral of (2+cot(x))/(cos(x))	\int\:\frac{2+\cot(x)}{\cos(x)}dx
integral of-2xcos(3x+4)	\int\:-2x\cos(3x+4)dx
integral of ((x+3))/x	\int\:\frac{(x+3)}{x}dx
integral of 1/(x^{3/2)}	integral\:\frac{1}{x^{\frac{3}{2}}}
integral of x^α	\int\:x^{α}dx
integral of cos(x^4)2x^3	\int\:\cos(x^{4})2x^{3}dx
integral of x(2x^2+5)^4	\int\:x(2x^{2}+5)^{4}dx
integral of (e^{1/x}-x)/(x^2)	\int\:\frac{e^{\frac{1}{x}}-x}{x^{2}}dx
integral of 6x(x^3-1)^3	\int\:6x(x^{3}-1)^{3}dx
integral of x^2-7x+9	\int\:x^{2}-7x+9dx
integral of (x^3+24)/(x^2+7x+12)	\int\:\frac{x^{3}+24}{x^{2}+7x+12}dx
integral of (e^{-st})	\int\:(e^{-st})dt
integral of cos(3x)8	\int\:\cos(3x)8dx
integral of (2x-1/x)	\int\:(2x-\frac{1}{x})dx
integral of (2+sin(x))/(1+x^2)	\int\:\frac{2+\sin(x)}{1+x^{2}}dx
integral of (sqrt(x-1))/(3x)	\int\:\frac{\sqrt{x-1}}{3x}dx
integral of (cos^2(4x))	\int\:(\cos^{2}(4x))dx
integral of-x^5e^{x^6}	\int\:-x^{5}e^{x^{6}}dx
integral of tsin^2(2t)	\int\:t\sin^{2}(2t)dt
integral of 8xe^{-8x}	\int\:8xe^{-8x}dx
integral of 0.1xe^{-0.1x}	\int\:0.1xe^{-0.1x}dx
integral of (x^2-2)/(x^3-6x)	\int\:\frac{x^{2}-2}{x^{3}-6x}dx
integral of (4x-5)e^{-3x}	\int\:(4x-5)e^{-3x}dx
integral of ((2x^2-10x+14))/((x-3)^3)	\int\:\frac{(2x^{2}-10x+14)}{(x-3)^{3}}dx
integral of 90sqrt(x+4)	\int\:90\sqrt{x+4}dx
integral of (x+1)/((x^2+2)^2)	\int\:\frac{x+1}{(x^{2}+2)^{2}}dx
integral of 1-x-4x^3+2x^5	\int\:1-x-4x^{3}+2x^{5}dx
integral of x(2x^2+4)^7	\int\:x(2x^{2}+4)^{7}dx
integral of 6xsqrt(x+4)	\int\:6x\sqrt{x+4}dx
integral of (2v)/(7v-12)	\int\:\frac{2v}{7v-12}dv
integral of (x^2+1)^{10}	\int\:(x^{2}+1)^{10}dx
integral of (-1)/(t^2)	\int\:\frac{-1}{t^{2}}dt
integral of (e^{sqrt(ln(x))})/(2xsqrt(ln(x)))	\int\:\frac{e^{\sqrt{\ln(x)}}}{2x\sqrt{\ln(x)}}dx
integral of (-ln(x))^2	\int\:(-\ln(x))^{2}dx
integral of t/(sin^2(t))	\int\:\frac{t}{\sin^{2}(t)}dt
integral of (cosh(ln(x)))/x	\int\:\frac{\cosh(\ln(x))}{x}dx
integral of x^3(x^4+5)^3	\int\:x^{3}(x^{4}+5)^{3}dx
integral of (sqrt(2+3x))/(sqrt(x-3))	\int\:\frac{\sqrt{2+3x}}{\sqrt{x-3}}dx
integral of sqrt(x^2+6x+9)	\int\:\sqrt{x^{2}+6x+9}dx
integral of (2x+1)e^{-2x}	\int\:(2x+1)e^{-2x}dx
integral of ((8x^2+3))/(sqrt(x))	\int\:\frac{(8x^{2}+3)}{\sqrt{x}}dx
integral of 1/(sqrt(7s-1))	\int\:\frac{1}{\sqrt{7s-1}}ds
integral of ((sin(2x))/2)	\int\:(\frac{\sin(2x)}{2})dx
integral of 4y-y^2	\int\:4y-y^{2}dy
integral of 1/(\sqrt[3]{5-x)}	\int\:\frac{1}{\sqrt[3]{5-x}}dx
integral of 3x^2+5sin(x)-3e^x	\int\:3x^{2}+5\sin(x)-3e^{x}dx
integral of 1/(x^2+1)x	\int\:\frac{1}{x^{2}+1}xdx
integral of (3x^2+4x^6+5x^4)/(3x^3)	\int\:\frac{3x^{2}+4x^{6}+5x^{4}}{3x^{3}}dx
integral of (3+5x)/(16+x^2)	\int\:\frac{3+5x}{16+x^{2}}dx
integral of (9e^x)	\int\:(9e^{x})dx
integral of e^{-xt}cos(yt)	\int\:e^{-xt}\cos(yt)dt
integral of (2x^3+1)^7	\int\:(2x^{3}+1)^{7}dx
integral of (3x+1)/((x^2+x-6)(x+2))	\int\:\frac{3x+1}{(x^{2}+x-6)(x+2)}dx
integral of (sqrt(x)+1)^{1/4}	\int\:(\sqrt{x}+1)^{\frac{1}{4}}dx
integral of x^2(4+x^3)	\int\:x^{2}(4+x^{3})dx
integral of 8x(1-x)	\int\:8x(1-x)dx
integral of e^tcot(e^t-8)	\int\:e^{t}\cot(e^{t}-8)dt
integral of (x^3)/((x^4+9)^4)	\int\:\frac{x^{3}}{(x^{4}+9)^{4}}dx
integral of x(x^2+2)^7	\int\:x(x^{2}+2)^{7}dx
integral of 1/2 x^{3/2}	\int\:\frac{1}{2}x^{\frac{3}{2}}dx
integral of (1-x^{-2})sqrt(x+x^{-1)}	\int\:(1-x^{-2})\sqrt{x+x^{-1}}dx
integral of 1/(x+1^5)	\int\:\frac{1}{x+1^{5}}dx
integral of ln(y)-2	\int\:\ln(y)-2dy
integral of (3z^2+1)arctan(z)	\int\:(3z^{2}+1)\arctan(z)
integral of 2x(x^3+1)	\int\:2x(x^{3}+1)dx
integral of sqrt(x)*e^{-sqrt(x)}	\int\:\sqrt{x}\cdot\:e^{-\sqrt{x}}dx
integral of x/(sqrt(5x^2-3))	\int\:\frac{x}{\sqrt{5x^{2}-3}}dx
integral of 3te^{-st}	\int\:3te^{-st}dt
integral of-sin(x)+e^x	\int\:-\sin(x)+e^{x}dx
integral of-2/(t^3)	\int\:-\frac{2}{t^{3}}dt
integral of (5x^3+9x^2-22x-8)/(x^3-4x)	\int\:\frac{5x^{3}+9x^{2}-22x-8}{x^{3}-4x}dx
integral of 2x+sec^2(x)	\int\:2x+\sec^{2}(x)dx
integral of 1/(x^{6/7)(3+x^{1/7})}	\int\:\frac{1}{x^{\frac{6}{7}}(3+x^{\frac{1}{7}})}dx
integral of sqrt(x)*ln(x^2)	\int\:\sqrt{x}\cdot\:\ln(x^{2})dx
integral of x(1.2)^x	\int\:x(1.2)^{x}dx
integral of 5tan(x)+2x^4	\int\:5\tan(x)+2x^{4}dx
integral of (7x^2-4x+2)/(x(x-4)^2)	\int\:\frac{7x^{2}-4x+2}{x(x-4)^{2}}dx
integral of (-x^2+8)/(x^3+4x)	\int\:\frac{-x^{2}+8}{x^{3}+4x}dx
integral of (2x+4y)	\int\:(2x+4y)dx
integral of (2e^x+sin(x)-cos(x))	\int\:(2e^{x}+\sin(x)-\cos(x))dx
integral of 1/(x(x^6+8))	\int\:\frac{1}{x(x^{6}+8)}dx
integral of x/(2+4x^2)	\int\:\frac{x}{2+4x^{2}}dx
integral of-15cos^3(t)sin(t)	\int\:-15\cos^{3}(t)\sin(t)dt
integral of arccos(a)x	\int\:\arccos(a)xdx
integral of r/(sqrt(r^2-x^2))	\int\:\frac{r}{\sqrt{r^{2}-x^{2}}}dx
integral of 3cos^4(x)sin(x)	\int\:3\cos^{4}(x)\sin(x)dx
integral of (2x^3+10x)/(x^4+2x^2+1)	\int\:\frac{2x^{3}+10x}{x^{4}+2x^{2}+1}dx
integral of e/(x^2)	\int\:\frac{e}{x^{2}}dx
integral of (x^2-2x+5)e^{-4x}	\int\:(x^{2}-2x+5)e^{-4x}dx
integral of (-x)/(2x+1)	\int\:\frac{-x}{2x+1}dx
integral of ((y^5))/((1-y^3)^{3/2)}	\int\:\frac{(y^{5})}{(1-y^{3})^{\frac{3}{2}}}dy
integral of (sin(h^{-1})x)/(sqrt(1+x^2))	\int\:\frac{\sin(h^{-1})x}{\sqrt{1+x^{2}}}dx
integral of (x^3+1)^{1/3}x^2	\int\:(x^{3}+1)^{\frac{1}{3}}x^{2}dx
integral of (sin(5x))/(cos^3(5x))	\int\:\frac{\sin(5x)}{\cos^{3}(5x)}dx
integral of x+2x	\int\:x+2xdx
integral of x^{11}ln(4x^6)	\int\:x^{11}\ln(4x^{6})dx
integral of cos(2x)-(1-4/pi x)	\int\:\cos(2x)-(1-\frac{4}{π}x)dx
integral of (5x+12)/(x^2+4x+5)	\int\:\frac{5x+12}{x^{2}+4x+5}dx

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