Category: Integration

Question Number 128417 by liberty last updated on 07/Jan/21 $$\eta ={\int }_0^1{\mathrm{x}}^3{(1-{\mathrm{x}}^3)}^{\mathrm{n}-1}\mathrm{dx}$$ Answered by Dwaipayan Shikari last updated on 07/Jan/21…

Question Number 62856 by mathmax by abdo last updated on 26/Jun/19 $$letf\left(\lambda \right)={\int }_0^{+\mathrm{\infty }}\frac{x^4}{x^6+{\lambda }^6}dxwith\lambda >0$$$$1)calculatef\left(\lambda \right)$$$$\left.\mathrm{2}\right)\:{calculate}\:{also}\:{g}\left(\lambda\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}^{\mathrm{4}} }{\left({x}^{\mathrm{6}} \:+\lambda^{\mathrm{6}}…

Question Number 128385 by n0y0n last updated on 06/Jan/21 $${\int }_1^{\pi }\left|\begin{array}{ccc}{\mathrm{x}}^3& \mathrm{lnx}& \mathrm{sinx}\\ {3\mathrm{x}}^2& \frac{1}{\mathrm{x}}& \mathrm{cosx}\\ 6& {2\mathrm{x}}^{-3}& -\mathrm{cosx}\end{array}\right|\mathrm{dx}=?$$ Answered by mathmax by abdo last updated on…

Question Number 62836 by Tawa1 last updated on 25/Jun/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 62826 by Cheyboy last updated on 25/Jun/19 Commented by mathmax by abdo last updated on 25/Jun/19 $$\left.{b}\right)\:{I}\:=\int_{\mathrm{0}} ^{\pi} \:\:\frac{{sin}\theta}{\:\sqrt{\pi−\theta}}\:\:{changement}\sqrt{\pi−\theta}\:={x}\:{give}\:{I}\:=\int_{\sqrt{\pi}} ^{\mathrm{0}} \:\frac{{sin}\left(\pi−{x}^{\mathrm{2}} \right)}{{x}}\:\left(−\mathrm{2}{x}\right){dx} \…