Category: Integration

Question Number 51510 by Tinkutara last updated on 27/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 28/Dec/18 $$\int \frac{-2pdp}{\sqrt{p^2\times (\{1-3(p^2-1)\}}}$$$${x}^{\mathrm{2}} \left\{{x}^{\mathrm{2}} +\frac{\mathrm{1}}{{x}^{\mathrm{2}} }+\mathrm{2}\left({x}+\frac{\mathrm{1}}{{x}}\right)−\mathrm{1}\right\} \…

Question Number 117034 by Lordose last updated on 09/Oct/20 $$\int \frac{\mathbf{dx}}{\sqrt[3]{1+{\mathbf{x}}^3}}$$ Answered by MJS_new last updated on 09/Oct/20 $$\int \frac{dx}{\sqrt[3]{x^3+1}}=$$$$\:\:\:\:\:\left[{t}=\frac{\sqrt[{\mathrm{3}}]{{x}^{\mathrm{3}} +\mathrm{1}}}{{x}}\:\rightarrow\:{dx}=−{x}^{\mathrm{2}}…

Question Number 117002 by TANMAY PANACEA last updated on 08/Oct/20 $${\int }_0^{n\pi +v}\mid sinx\mid dx$$ Answered by TANMAY PANACEA last updated on 08/Oct/20 $$\mid{sinx}\mid\:{is}\:{alsays}\:+{ve}\:{and}\:{each}\:{loop}\:{area}\:{of} \…

Question Number 116999 by TANMAY PANACEA last updated on 08/Oct/20 $$\int \frac{dx}{{(a+bcosx)}^2}$$ Answered by Olaf last updated on 08/Oct/20 $$\mathrm{I}\left({x}\right)\:=\:\int\frac{{dx}}{\left({a}+{b}\frac{{e}^{{ix}} +{e}^{−{ix}} }{\mathrm{2}}\right)^{\mathrm{2}} }…

Question Number 51456 by Tawa1 last updated on 27/Dec/18 $$\int \frac{{\mathrm{x}}^8}{{\mathrm{x}}^6+64}\mathrm{dx}$$ Answered by tanmay.chaudhury50@gmail.com last updated on 27/Dec/18 $${x}^{\mathrm{3}} =\mathrm{2}^{\mathrm{3}} {tan}\theta \…