Category: Integration

Question Number 95009 by bobhans last updated on 22/May/20 $$\int \frac{e^x+2{xe}^x\sin x-2{xe}^x\cos x}{\sqrt{x}\sin {}^{2}x}dx$$ Commented by bobhans last updated on 22/May/20 my children exam Commented…

Question Number 29454 by prof Abdo imad last updated on 08/Feb/18 $$fisafunctionincreasingand{C}^{1}on[a,b]prove$$$${\int }_{f\left(a\right)}^{f\left(b\right)}{f}^{-1}\left(t\right)dt={\int }_a^{b}x{f}^{{}^{\prime }}\left(x\right)dx$$ Commented by…

Question Number 29447 by prof Abdo imad last updated on 08/Feb/18 $$find{A}_n={\int }_0^{\mathrm{\infty }}\frac{dx}{{(1+x^2)}^n}withnfrom{N}^{★}.$$ Terms of Service Privacy Policy…

Question Number 29446 by prof Abdo imad last updated on 08/Feb/18 $$letgivea<1findthevalueof$$$$f\left(a\right)={\int }_0^{\frac{\pi }{2}}\frac{dx}{1-{acos}^{2}x}.$$ Commented by prof Abdo imad last…

Question Number 29445 by prof Abdo imad last updated on 08/Feb/18 $$find\int \frac{dx}{sinx+sin\left(2x\right)}.$$ Answered by mrW2 last updated on 09/Feb/18 $$=\int \frac{dx}{\sin x(1+2\cos x)}$$$$=\int\frac{\mathrm{sin}\:{x}\:{dx}}{\mathrm{sin}^{\mathrm{2}} \:{x}\left(\mathrm{1}+\mathrm{2cos}\:{x}\right)}…