Category: Integration

Question Number 193512 by SaRahAli last updated on 15/Jun/23 Answered by Subhi last updated on 15/Jun/23 $$\int \frac{1}{\frac{1}{cos\left(x\right)}.\frac{sin\left(x\right)}{cos\left(x\right)}}\Rrightarrow \int \frac{{cos}^2\left(x\right)}{sin\left(x\right)}.dx$$$$\int \frac{1-{sin}^2\left(x\right)}{sin\left(x\right)}.dx\looparrowright \int csc\left(x\right)+\int -sin\left(x\right)$$$$\int csc\left(x\right)+cos\left(x\right)$$$$\int{csc}\left({x}\right).\frac{{csc}\left({x}\right)+{cot}\left({x}\right)}{{csc}\left({x}\right)+{cot}\left({x}\right)}\:+\:{cos}\left({x}\right)…

Question Number 193409 by cortano12 last updated on 13/Jun/23 $$⋐$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 193278 by Nimnim111118 last updated on 09/Jun/23 $$PleaseHelp\dots !!$$$${\underset{0}{\int }}^{\mathrm{\infty }}x.e^{-x}.sinx.dx$$$$$$ Answered by qaz last updated on…

Question Number 193214 by Humble last updated on 07/Jun/23 $$Evaluate$$$$\mathrm{\Omega }={\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{e^{\frac{x}{2}}ln\left(\sqrt{\frac{3-x}{3+x}}\right)}{{tanh}^{-1}\left(\frac{x}{3}\right)(1+e^x)}dx$$ Terms of Service Privacy Policy Contact:…

Question Number 131068 by EDWIN88 last updated on 01/Feb/21 $$\int \sin {}^{2}x\cos 4xdx=?$$ Answered by Ar Brandon last updated on 01/Feb/21 $$\mathcal{I}=\int {\sin }^2\mathrm{xcos}4\mathrm{xdx}=\frac{1}{2}\int (1+\cos 2\mathrm{x})\cos 4\mathrm{xdx}$$$$\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}\int\left[\mathrm{cos4x}+\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{cos6x}+\mathrm{cos2x}\right)\right]\mathrm{dx}…