Category: Integration

Question Number 127110 by benjo_mathlover last updated on 26/Dec/20 $$\int {\left(\arcsin x\right)}^{2}dx=?$$ Answered by liberty last updated on 27/Dec/20 $$letting\arcsin x=\ell \Rightarrow x=\sin \ell \wedge dx=\cos \ell d\ell$$$${I}=\:\int\:\ell^{\mathrm{2}} \mathrm{cos}\:\ell\:{d}\ell\:=\:\ell^{\mathrm{2}} \mathrm{sin}\:\ell\:+\mathrm{2}\ell\:\mathrm{cos}\:\ell−\mathrm{2sin}\:\ell\:+\:{c}…

Question Number 192634 by pascal889 last updated on 23/May/23 $$\int \mathit{s}\mathit{i}\mathit{n}(12x+8)dx$$ Answered by Subhi last updated on 23/May/23 $$-\frac{1}{12}\int -12sin(12x+8)dx$$$$-\frac{1}{12}cos(12x+8)+c$$ Commented…

Question Number 61535 by maxmathsup by imad last updated on 04/Jun/19 $$calculate{\int }_0^{\frac{\pi }{2}}\frac{ln(1+cosx)}{cosx}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 61534 by maxmathsup by imad last updated on 04/Jun/19 $$calculatef\left(a\right)=\int {\int }_W(x+ay)e^{-x}{e}^{-ay}dxdywith$$$$W_a=\{(x,y)\in R^2/x⩾0,y⩾0,x+ay⩽1\}a>0$$ Terms of Service Privacy…

Question Number 61528 by maxmathsup by imad last updated on 04/Jun/19 $$find{\int }_0^{\mathrm{\infty }}cos\left({zx}^2\right)dxwithz\in C.$$ Commented by maxmathsup by imad last updated on…