Category: Integration

Question Number 43100 by maxmathsup by imad last updated on 07/Sep/18 $$letf\left(x\right)={\int }_0^{\frac{\pi }{2}}\frac{cos\theta }{1+xsin\theta }d\theta$$$$1)determineaexplicitformoff\left(x\right)$$$$2)calculate{\int }_0^{\frac{\pi }{2}}\frac{sin\left(2\theta \right)}{{(1+xsin\theta )}^2}d\theta$$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{values}\:{of}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{cos}\theta}{\mathrm{1}+\mathrm{2}{cos}\theta}{d}\theta\:\:\:{and}\:\:\int_{\mathrm{0}}…

Question Number 174133 by mnjuly1970 last updated on 26/Jul/22 Commented by MJS_new last updated on 25/Jul/22 $$\mathrm{but}\mathrm{\Omega }=\pi$$ Commented by mnjuly1970 last updated on…

Question Number 108597 by bemath last updated on 18/Aug/20 $$\frac{\mathrm{\angle }\mathcal{B}e\mathcal{M}ath\mathrm{\angle }}{\nparallel }$$$$\left(1\right)\int \cos \left(\ln x\right)dx$$$$\left(2\right)\int \sin \left(\ln x\right)dx$$ Answered by 1549442205PVT last updated on 18/Aug/20 $$\mathrm{Set}\:\mathrm{I}=\int\mathrm{cos}\left(\mathrm{lnx}\right)\mathrm{dx},\mathrm{J}=\int\mathrm{sin}\left(\mathrm{lnx}\right)\mathrm{dx} \…

Question Number 43057 by maxmathsup by imad last updated on 06/Sep/18 $$findthevalueofI={\int }_0^{\mathrm{\infty }}\frac{cos\left(\pi x^2\right)-sin\left(\pi x^2\right)}{{(1+x^2)}^2}dx$$ Commented by maxmathsup by imad…

Question Number 108584 by mathmax by abdo last updated on 17/Aug/20 $$\mathrm{find}{\int }_0^1\frac{\ln (1+{\mathrm{x}}^2)}{\mathrm{x}+2}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com