Category: Integration

Question Number 136999 by mnjuly1970 last updated on 28/Mar/21 $$$$$$\dots \dots advanced\dots \dots calculus\dots .$$$$\mathit{\varphi }={\int }_0^{\mathrm{\infty }}ln\left(x\right).sin\left(x\right).e^{-x}dx=?$$$$$$ Answered by mnjuly1970 last…

Question Number 136968 by Eric002 last updated on 28/Mar/21 $$1)\int \frac{8}{x^2\sqrt{4-x^2}}dx$$$$2)\int \frac{x-6}{2x^2-5x+3}$$ Answered by EDWIN88 last updated on 28/Mar/21 $$\left(\mathrm{1}\right)\int\:\frac{\mathrm{8}}{\mathrm{x}^{\mathrm{3}}…

Question Number 136971 by Eric002 last updated on 28/Mar/21 $$\int {csc}^4\left(x\right){cot}^2\left(x\right)dx$$ Answered by Ñï= last updated on 28/Mar/21 $$\int{csc}\:^{\mathrm{4}} {x}\mathrm{cot}\:^{\mathrm{2}} {xdx}=−\int\left(\mathrm{1}+\mathrm{cot}\:^{\mathrm{2}} {x}\right)\mathrm{cot}\:^{\mathrm{2}}…

Question Number 136948 by leena12345 last updated on 28/Mar/21 $$\int \frac{\sqrt{4+x^2}}{x}dx$$ Answered by Olaf last updated on 28/Mar/21 $$\mathrm{F}\left(x\right)=\int \frac{\sqrt{4+x^2}}{x}dx$$$$\mathrm{F}\left({u}\right)\:\overset{{x}=\mathrm{2sh}{u}} {=}\:\:\:\:\int\frac{\sqrt{\mathrm{4}+\mathrm{4sh}^{\mathrm{2}}…

Question Number 5878 by gourav~ last updated on 03/Jun/16 $$\int \sqrt{\frac{a-x}{a+x}}dx$$$$pleasehelp\dots \dots .=$$ Answered by Yozzii last updated on 03/Jun/16 $$LetI=\int \sqrt{\frac{a-x}{a+x}}dx.$$$$\frac{{a}−{x}}{{a}+{x}}=\frac{{a}^{\mathrm{2}} −{x}^{\mathrm{2}}…