Category: Integration

Question Number 136067 by bramlexs22 last updated on 18/Mar/21 $$\mathrm{\Lambda }=\int x^3{(x^3+1)}^{10}dx$$ Answered by Olaf last updated on 18/Mar/21 $$\Lambda\:=\:\int{x}^{\mathrm{3}} \left({x}^{\mathrm{3}} +\mathrm{1}\right)^{\mathrm{10}}…

Question Number 136036 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{logx}}{{\mathrm{x}}^4+{\mathrm{x}}^2+1}\mathrm{dx}$$ Commented by Ajetunmobi last updated on 18/Mar/21…

Question Number 4957 by ankit chakravarti last updated on 26/Mar/16 $${\int }_0^{1}4x^3\left\{\frac{d^2}{{dx}^2}{(1-x^2)}^5\right\}dx=?$$ Commented by ankit chakravarti last…

Question Number 70482 by Mikaell last updated on 04/Oct/19 $$\int \frac{{sin}^{3}x}{\sqrt{cosx}}dx$$ Commented by kaivan.ahmadi last updated on 04/Oct/19 $$u=cosx\Rightarrow du=-sinxdx$$$${sin}^{\mathrm{3}} {x}={sinxsin}^{\mathrm{2}} {x}={sinx}\left(\mathrm{1}−{cos}^{\mathrm{2}}…

Question Number 135996 by mnjuly1970 last updated on 17/Mar/21 Answered by Dwaipayan Shikari last updated on 17/Mar/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{x}^{{n}+\mathrm{1}} }{{n}^{\mathrm{2}} }{dx} \…