Category: Integration

Question Number 116391 by bobhans last updated on 03/Oct/20 $$\int \frac{\mathrm{dx}}{(\mathrm{x}+1)\sqrt{\mathrm{x}}}?$$ Commented by TANMAY PANACEA last updated on 03/Oct/20 $$howtopostquestion\dots$$$$hereiamsharingintregation\dots Tanmay$$$$\int\frac{{sin}\theta}{{cos}\mathrm{3}\theta}+\frac{{sin}\mathrm{3}\theta}{{cos}\mathrm{9}\theta}+\frac{{sin}\mathrm{9}\theta}{{cos}\mathrm{27}\theta}\:{d}\theta…

Question Number 116375 by mnjuly1970 last updated on 03/Oct/20 $$\dots nicecalculus\dots$$$$ordinarydifferential$$$$equation(o.d.e)$$$$$$$$y\frac{d^{2}y}{{dx}^2}-{\left(\frac{dy}{dx}\right)}^2=y^2\left(lny\right)\dots$$$$\:\:\:{find}\::\:\:{general}\:\:{solution} \…

Question Number 181872 by srikanth2684 last updated on 01/Dec/22 $$\underset{-1}{\stackrel{4}{\int }}\frac{1}{\mid x\mid }dx$$ Answered by Frix last updated on 01/Dec/22 $$\underset{−\mathrm{1}} {\overset{\mathrm{4}} {\int}}\frac{{dx}}{\mid{x}\mid}=\underset{\mathrm{0}} {\overset{\mathrm{1}}…

Question Number 116318 by Bird last updated on 03/Oct/20 $$1)explicitef\left(a\right)={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{arctan(a+x)}{x^2+4}dx$$$$1)1)calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{arctan(1+x)}{x^2+4}dx$$$$and{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{arctan(3+x)}{x^2+4}dx$$…

Question Number 181840 by srikanth2684 last updated on 01/Dec/22 $$\underset{-1}{\stackrel{4}{\int }}lnxdx$$ Commented by mr W last updated on 01/Dec/22 $$questioniswrong.$$$${for}\:\mathrm{ln}\:\left({x}\right)\:{to}\:{be}\:{defined},\:{x}>\mathrm{0}\:!…