Category: Integration

Question Number 185848 by Mingma last updated on 28/Jan/23 Answered by Frix last updated on 28/Jan/23 $$\int \sqrt{{\mathrm{e}}^x+2}dx\stackrel{t=\sqrt{{\mathrm{e}}^x+2}}{=}2\int \frac{t^2}{t^2-2}dt=$$$$=\mathrm{2}\int{dt}+\sqrt{\mathrm{2}}\int\frac{{dt}}{{t}−\sqrt{\mathrm{2}}}−\sqrt{\mathrm{2}}\int\frac{{dt}}{{t}+\sqrt{\mathrm{2}}}= \…

Question Number 54777 by maxmathsup by imad last updated on 10/Feb/19 $$let{u}_n={\int }_0^{\mathrm{\infty }}\frac{sin\left({nx}^2\right)}{x^2+6}dx$$$$1)calculate{u}_{n}andlim{u}_n(n\to +\mathrm{\infty })$$$$\left.\mathrm{2}\right)\:{find}\:{nature}\:{of}\:\Sigma\:{u}_{{n}} \:\:\:{and}\:{calaculate}\:{it}. \…

Question Number 185836 by greougoury555 last updated on 28/Jan/23 $$\left(1\right)\underset{0}{\stackrel{1}{\int }}\frac{dx}{2x^4-2x^2+1}=?$$$$\left(2\right)\underset{0}{\stackrel{\mathrm{\infty }}{\int }}\frac{x^{1/4}}{1+x^2}dx=?$$ Answered by Ar…

Question Number 54756 by Knight last updated on 10/Feb/19 $$solve$$$$\int tan(x-\theta )tan(x+\theta )tan2xdx$$ Answered by tanmay.chaudhury50@gmail.com last updated on 10/Feb/19 $$tan2x=tan(x+\theta +x-\theta )$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{tan}\mathrm{2}{x}=\frac{{tan}\left({x}+\theta\right)+{tan}\left({x}−\theta\right)}{\mathrm{1}−{tan}\left({x}+\theta\right){tan}\left({x}−\theta\right)} \…

Question Number 120283 by Bird last updated on 30/Oct/20 $$fond{\int }_2^{\mathrm{\infty }}\frac{ln(1+3x^2)}{1+x^4}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com