Category: Integration

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}…

Question Number 140866 by liberty last updated on 13/May/21 $$\underset{0}{\stackrel{1}{\int }}\frac{\ln 2-\ln (1+{\mathrm{x}}^2)}{1-\mathrm{x}}\mathrm{dx}=?$$ Answered by mindispower last updated on 15/May/21 $$=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\int_{\mathrm{0}} ^{{x}}…

Question Number 9782 by tawakalitu last updated on 03/Jan/17 $$\int \frac{{\sin }^4\left(\mathrm{x}\right)}{{\sin }^3\left(\mathrm{x}\right)+{\cos }^4\left(\mathrm{x}\right)}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com