Category: Integration

Question Number 116231 by bemath last updated on 02/Oct/20 $$\int \sec \mathrm{x}\tan \mathrm{x}\sqrt{\tan {}^2\mathrm{x}-3}\mathrm{dx}?$$ Answered by john santu last updated on 02/Oct/20 $$\int \sec x\tan x\sqrt{\sec {}^{2}x-4}dx$$$$\left[\:{let}\:{u}\:=\:\mathrm{sec}\:{x}\:\rightarrow{du}\:=\:\mathrm{sec}\:{x}\:\mathrm{tan}\:{x}\:{dx}\:\right]…

Question Number 50683 by maxmathsup by imad last updated on 18/Dec/18 $$findf\left(\lambda \right)={\int }_0^{\mathrm{\infty }}\frac{arctan\left(\lambda x\right)}{1+\lambda x^2}dxwith\lambda >0$$ Commented by Abdo msup. last updated on 21/Dec/18…

Question Number 116196 by mnjuly1970 last updated on 01/Oct/20 $$pleasesolve:$$$$$$$${\int }_0^{\frac{\pi }{4}}{tan}^9\left(x\right)dx=???$$ Answered by mindispower last updated on…

Question Number 50633 by Necxx last updated on 18/Dec/18 $$pleasehelpintegrate\frac{x+\sin x}{1+\cos x}dx$$ Commented by maxmathsup by imad last updated on 18/Dec/18 $$letI=\int \frac{x+sinx}{1+cosx}dxwehaveI=\int \frac{x}{1+cosx}dx+\int \frac{sinx}{1+cosx}dxbut$$$$\int\:\:\frac{{sinx}}{\mathrm{1}+{cosx}}{dx}\:=\int\:\frac{−{d}\left({cosx}\right)}{\mathrm{1}+{cosx}}\:{dx}=−{ln}\mid\mathrm{1}+{cosx}\mid\:+{c}_{\mathrm{1}} \…

Question Number 116123 by Henri Boucatchou last updated on 01/Oct/20 $$$$$$\mathrm{Study}\mathrm{according}\mathrm{to}\mathrm{the}\mathrm{values}\mathrm{of}$$$$\mathrm{the}\mathrm{real}\alpha \mathrm{the}\mathrm{convergence}\mathrm{of}\mathrm{the}$$$$\mathrm{integral}{\int }_{\alpha }^{+\mathrm{\infty }}\frac{ln\mid x\mid }{\sqrt[3]{x(x+1)}}dx$$ Terms of Service Privacy…