Category: Integration

Question Number 131405 by bramlexs22 last updated on 04/Feb/21 $$$$$$\dots \dots \mathrm{super}\mathrm{cooles}\mathrm{Integral}\text{iddots}\text{iddots}$$$${\int }_0^{\mathrm{\infty }}\frac{dx}{{(1+x^2)}^2}=?$$ Commented by bramlexs22 last updated…

Question Number 325 by 123456 last updated on 25/Jan/15 $$\underset{0}{\stackrel{1}{\int }}{x}^3\ln xdx+\underset{1}{\stackrel{\mathrm{\infty }}{\int }}{x}^3{e}^{x-1}dx$$ Answered by prakash jain last updated…

Question Number 313 by Vishal Bhardwaj last updated on 25/Jan/15 $${\int }_0^{\frac{\pi }{2}}logsin\theta d\theta$$ Answered by prakash jain last updated on 20/Dec/14 $${I}=\int_{\mathrm{0}} ^{\pi/\mathrm{2}}…

Question Number 65834 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $$\mathrm{\forall }x,y>0B(x,y)={\int }_0^1{t}^{x-1}{(1-t)}^{y-1}dt\mathrm{\Gamma }\left(x\right)={\int }_0^{\mathrm{\infty }}{t}^{x-1}{e}^{-t}dt$$$$\left.\mathrm{1}\right)\:{show}\:{that}\:\:\forall\:{x}>\mathrm{0}\:\:\:\:\Gamma\left({x}+\mathrm{1}\right)={x}\Gamma\left({x}\right)\:\:\:\:{and}\:\:{lim}_{{n}−>\infty}…

Question Number 65828 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $$Letgotowardarationalorderofderivation$$$$$$$$Part1:{What}^{\prime }sthatspecialfactor$$$$Letn,pandkthreeintegerdifferentofzero$$$${We}\:\:{state}\:{J}_{{n},{k}} \left({p}\right)=\int_{\mathrm{0}} ^{\mathrm{1}}…