Category: Integration

Question Number 173971 by mnjuly1970 last updated on 22/Jul/22 Commented by Tawa11 last updated on 22/Jul/22 $$\mathrm{Great}\mathrm{sir}$$ Commented by mnjuly1970 last updated on…

Question Number 42870 by maxmathsup by imad last updated on 03/Sep/18 $$let0<x<1and\mathrm{\Gamma }\left(x\right)={\int }_0^{\mathrm{\infty }}{t}^{x-1}{e}^{-t}dt$$$$1)provethat\mathrm{\Gamma }\left(x\right).\mathrm{\Gamma }(1-x)=\frac{\pi }{sin\left(\pi x\right)}\left(complimentsformulae\right)$$$$2)calculate\mathrm{\Gamma }\left(n\right)and\mathrm{\Gamma }(n+\frac{1}{2})withnfromN.$$ Terms of Service…

Question Number 108391 by bemath last updated on 16/Aug/20 $$\frac{\measuredangle \mathcal{B}e\mathcal{M}ath\measuredangle }{▽}$$$$I=\underset{0}{\stackrel{\pi }{\int }}\frac{xdx}{1+\sin x}$$ Answered by bobhans last updated on 16/Aug/20 Commented by…

Question Number 108382 by bobhans last updated on 16/Aug/20 $$\frac{\mathit{b}\mathit{o}\mathit{b}\mathit{h}\mathit{a}\mathit{n}\mathit{s}}{\text{iddots}\ddots }$$$$\underset{\pi /2}{\stackrel{\pi }{\int }}\mid \cos x-\sin x\mid dx?$$$$$$ Commented by PRITHWISH SEN 2 last updated…

Question Number 42823 by rahul 19 last updated on 03/Sep/18 $$\mathrm{Evaluate}:$$$${\int }_{-5}^5{x}^2[x+\frac{1}{2}]dx=?$$$$where[.]=greatestintegerfunction$$ Commented by prof Abdo imad…