Category: Integration

Question Number 9863 by richard last updated on 10/Jan/17 $$\mathrm{the}\mathrm{value}\mathrm{of}:$$$$\underset{0}{\stackrel{\pi /2}{\int }}\frac{1}{1+{\tan }^{3}x}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 9858 by Joel575 last updated on 09/Jan/17 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 140930 by bramlexs22 last updated on 14/May/21 $$\underset{0}{\stackrel{\pi }{\int }}\frac{\mathrm{dx}}{\sqrt{2}-\cos \mathrm{x}}$$ Answered by Dwaipayan Shikari last updated on 14/May/21 $$\mathrm{2}\int_{\mathrm{0}} ^{\infty} \frac{{dt}}{\:\sqrt{\mathrm{2}}−\frac{\mathrm{1}−{t}^{\mathrm{2}}…

Question Number 140896 by bramlexs22 last updated on 14/May/21 $$\mathrm{the}\mathrm{function}\mathrm{f}\mathrm{with}\mathrm{variable}\mathrm{x}$$$$\mathrm{satisfies}\mathrm{the}\mathrm{equation}$$$${\mathrm{x}}^2\mathrm{f}{}^{\prime }\left(\mathrm{x}\right)+2\mathrm{x}\mathrm{f}\left(\mathrm{x}\right)=\arctan \mathrm{x}\mathrm{for}$$$$0<\arctan \mathrm{x}<\frac{\pi }{2}\mathrm{and}\mathrm{f}\left(1\right)=\frac{\pi }{4}.$$$$\mathrm{find}\mathrm{f}\left(\mathrm{x}\right).$$ Answered by EDWIN88 last…

Question Number 9821 by ridwan balatif last updated on 06/Jan/17 Commented by prakash jain last updated on 08/Jan/17 $$\mathrm{Is}\mathrm{the}\mathrm{question}$$$$\mathrm{Given}f\left(x\right)=f(x+2)$$$$\mathrm{and}\:\int_{\mathrm{0}} ^{\mathrm{2}} {f}\left({x}\right){dx}={B}…