Category: Integration

Question Number 36419 by abdo.msup.com last updated on 01/Jun/18 $$calculate{\int }_0^{\mathrm{\infty }}\frac{x^2-1}{{(2x^2+3)}^3}dx$$ Commented by abdo.msup.com last updated on 04/Jun/18 $${we}\:{have}\:{I}\:=\:\int_{\mathrm{0}}…

Question Number 36418 by abdo.msup.com last updated on 01/Jun/18 $$calculate{\int }_{-3}^4\mid x^2-2x-3\mid dx$$ Answered by tanmay.chaudhury50@gmail.com last updated on 03/Jun/18 $${x}^{\mathrm{2}} −\mathrm{2}{x}−\mathrm{3} \…

Question Number 36415 by abdo.msup.com last updated on 01/Jun/18 $$calculateI={\int }_0^{\frac{\pi }{2}}(x^3+x){cos}^{2}xdxand$$$$J={\int }_0^{\frac{\pi }{2}}(x^3+x){sin}^{2}xdx$$$$cslculateIandJ.$$ Commented…

Question Number 36410 by abdo.msup.com last updated on 01/Jun/18 $$findthevalueof{I}_n={\int }_0^1{x}^n\sqrt{1-x}dx$$ Commented by abdo.msup.com last updated on 04/Jun/18 $${chsngement}\:\sqrt{\mathrm{1}−{x}}={t}\:{give} \…

Question Number 36412 by abdo.msup.com last updated on 01/Jun/18 $$calculate{I}_{\lambda }={\int }_0^{\lambda }{e}^{-x}ln(1+e^x)dx$$ Commented by abdo.msup.com last updated on 02/Jun/18 $${changement}\:\:{e}^{{x}}…