Category: Integration

Question Number 127368 by I want to learn more last updated on 29/Dec/20 $$\int \frac{\sqrt{\tan \mathrm{x}}}{\sqrt{{\tan }^2\mathrm{x}-1}}\mathrm{dx}$$ Answered by liberty last updated on 29/Dec/20 $$\:{let}\:\rightarrow\begin{cases}{\mathrm{tan}\:{x}\:\geqslant\mathrm{0}}\{\mathrm{tan}^{\mathrm{2}}…

Question Number 127350 by bobhans last updated on 29/Dec/20 $$\int \frac{x^2}{{(x^2-1)}^{\frac{5}{2}}}dx?$$ Answered by bemath last updated on 29/Dec/20 Terms of Service…

Question Number 61809 by aliesam last updated on 09/Jun/19 Commented by maxmathsup by imad last updated on 10/Jun/19 $${let}\:{A}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{x}^{{n}} }{\:\sqrt{{ln}\left({x}\right)}}\:{dx}\:\Rightarrow\:{A}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{x}^{{n}} }{\:\sqrt{−\left(−{lnx}\right)}}\:{dx}\:=\frac{\mathrm{1}}{\:\sqrt{−\mathrm{1}}}\:\int_{\mathrm{0}}…

Question Number 61803 by maxmathsup by imad last updated on 09/Jun/19 $$find{\int }_0^{\mathrm{\infty }}\frac{x^2}{e^{x^2}-1}dx$$ Commented by maxmathsup by imad last…

Question Number 61785 by aliesam last updated on 08/Jun/19 $$\underset{0}{\stackrel{\sqrt{3-x^2}}{\int }}\frac{xy(4-x^2-y^2)\sqrt{4-x^2-y^2}-xy}{3}dy$$ Answered by MJS last updated on…