Category: Integration

Question Number 157442 by bobhans last updated on 23/Oct/21 $$\int \frac{\mathrm{dx}}{\mathrm{x}-\sqrt{{\mathrm{x}}^2+2\mathrm{x}+2}}$$ Answered by MJS_new last updated on 23/Oct/21 $$\int \frac{dx}{x-\sqrt{x^2+2x+2}}=$$$$\:\:\:\:\:\left[{t}={x}+\mathrm{1}+\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{2}}\:\rightarrow\:{dx}=\frac{\sqrt{{x}^{\mathrm{2}}…

Question Number 26362 by abdo imad last updated on 24/Dec/17 $$findthevalueof{\int }_0^{\propto }{e}^{-x}lnxdxforthatuse$$$$A_n={\int }_0^n{(1-\frac{t}{n})}^{n-1}ln\left(t\right)dt.$$ Terms of Service…

Question Number 26360 by abdo imad last updated on 24/Dec/17 $$findthevalueof{\int }_0^{\propto }\frac{cos\left(\alpha x\right)}{1+x^2}dx.$$ Commented by abdo imad last updated on 25/Dec/17 $${let}\:{put}\:{I}=\:\:\int_{\mathrm{0}}…

Question Number 91892 by john santu last updated on 03/May/20 $$\underset{0}{\stackrel{\pi }{\int }}\frac{dx}{a^2\cos {}^{2}x+b^2\sin {}^{2}x}?$$ Commented by john santu last updated…

Question Number 157412 by cortano last updated on 23/Oct/21 $${\int }_0^{\frac{\pi }{2}}\frac{x}{\sin {}^{8}x+\cos {}^{8}x}dx?$$ Answered by phanphuoc last updated on 23/Oct/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}}…