Category: Integration

Question Number 41848 by maxmathsup by imad last updated on 13/Aug/18 $$letf\left(a\right)={\int }_0^{\frac{\pi }{2}}\frac{dx}{1+asinx}witha\in R$$$$1)findasimpleformoff\left(a\right)$$$$2)calculate{\int }_0^{\frac{\pi }{2}}\frac{dx}{1+sinx}and{\int }_0^{\frac{\pi }{2}}\frac{dx}{1+2sinx}$$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…

Question Number 41847 by maxmathsup by imad last updated on 13/Aug/18 $$letf\left(x\right)={\int }_0^{\frac{\pi }{4}}\frac{dt}{x+tan\left(t\right)}$$$$1)findanoherexpressionoff\left(x\right)$$$$2)calculate{\int }_0^{\frac{\pi }{4}}\frac{dt}{2+tan\left(t\right)}andA\left(\theta \right)={\int }_0^{\frac{\pi }{4}}\frac{dt}{sin\theta +tant}$$$$\left.\mathrm{3}\right)\:{calculate}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}}…

Question Number 172899 by mathlove last updated on 03/Jul/22 $${\int }_0^{\mathrm{\infty }}{e}^{-e^x}\sqrt{x}dx=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 41806 by Raj Singh last updated on 13/Aug/18 Commented by prof Abdo imad last updated on 13/Aug/18 $$letA=\int \frac{arcsin(.\sqrt{x})-arccos\left(\sqrt{x}\right)}{arcsin\sqrt{x}+arccos\sqrt{x}}dx$$$$\left.{arcosx}\:+{arcsinx}\right)^{'} =−\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\:{for}…

Question Number 107314 by bemath last updated on 10/Aug/20 $$⩞bemath⩞$$$$\underset{0}{\stackrel{2\pi }{\int }}\ln (1+\sin x)dx?$$ Answered by mnjuly1970 last updated on 10/Aug/20 $$\Omega=\int_{\mathrm{0}} ^{\:\mathrm{2}\pi}…