Category: Integration

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}}…

Question Number 36406 by abdo mathsup 649 cc last updated on 01/Jun/18 $$findthevaluesofI={\int }_0^{\pi }{cos}^{4}dxand$$$$J={\int }_0^{\pi }{sin}^{4}dx.$$ Commented by…

Question Number 36397 by prof Abdo imad last updated on 01/Jun/18 $$findI={\int }_1^2\frac{dx}{x\sqrt{x+1}+(x+1)\sqrt{x}}$$$$$$ Answered by behi83417@gmail.com last updated on 01/Jun/18…

Question Number 167438 by cortano1 last updated on 16/Mar/22 $$\int \frac{\sin 4\mathrm{x}}{4\sin {}^4\mathrm{x}-4\sin {}^2\mathrm{x}+1}\mathrm{dx}=?$$ Answered by MJS_new last updated on 16/Mar/22 $$\frac{\mathrm{sin}\:\mathrm{4}{x}}{\mathrm{1}−\mathrm{4sin}^{\mathrm{2}} \:{x}\:+\mathrm{4sin}^{\mathrm{4}} \:{x}}=\frac{\mathrm{2sin}\:\mathrm{4}{x}}{\mathrm{1}+\mathrm{cos}\:\mathrm{4}{x}}=\frac{\mathrm{2sin}\:\mathrm{2}{x}\:\mathrm{cos}\:\mathrm{2}{x}}{\mathrm{cos}^{\mathrm{2}} \:\mathrm{2}{x}}=…

Question Number 167416 by Coronavirus last updated on 16/Mar/22 $${\int }_0^{\pi }\frac{x.\sin \left(x\right)}{1+{\cos }^2\left(x\right)}dx$$$$$$$${\int }_0^{\pi }\frac{1}{1+{\cos }^3\left(x\right)+{\sin }^3\left(x\right)}dx$$$$$$$$\int_{\mathrm{0}}…