Category: Integration

Question Number 47566 by tanmay.chaudhury50@gmail.com last updated on 11/Nov/18 $$\int sin51x{\left(sinx\right)}^{49}dx$$ Answered by Smail last updated on 12/Nov/18 $$A=\int sin(50x+x){sin}^{49}\left(x\right)dx$$$$=\int\left({sin}\left(\mathrm{50}{x}\right){cosx}+{cos}\left(\mathrm{50}{x}\right){sin}\left({x}\right)\right){sin}^{\mathrm{49}} \left({x}\right){dx}…

Question Number 47527 by sandeepkeshari0797@gmail.com last updated on 11/Nov/18 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 178550 by cortano1 last updated on 18/Oct/22 Answered by Ar Brandon last updated on 18/Oct/22 $$I={\int }_{\frac{\pi }{12}}^{\frac{\pi }{8}}\frac{(7+\cos 4\vartheta )\cos 2\vartheta }{1-\cos 4\vartheta }{\left(\frac{9-\cos 4\vartheta }{\sin 2\vartheta }\right)}^{2021}d\vartheta$$$$\:\:=\int_{\frac{\pi}{\mathrm{12}}} ^{\frac{\pi}{\mathrm{8}}} \frac{\left(\mathrm{6}+\mathrm{2cos}^{\mathrm{2}}…

Question Number 112997 by malwan last updated on 10/Sep/20 $$\int \frac{tanxdx}{\sqrt{{sec}^{3}x+1}}=?$$ Commented by MJS_new last updated on 10/Sep/20 $$\mathrm{sorry}\mathrm{I}{\mathrm{haven}}^{\prime }\mathrm{t}\mathrm{got}\mathrm{the}\mathrm{time}\mathrm{to}\mathrm{finish}\mathrm{it}\mathrm{but}$$$$\mathrm{the}\mathrm{path}\mathrm{is}$$$$\int\frac{\mathrm{tan}\:{x}}{\:\sqrt{\mathrm{sec}^{\mathrm{3}}…

Question Number 178487 by cortano1 last updated on 17/Oct/22 $$\int \frac{dx}{\cot {}^{3}x\sin {}^{7}x}=?$$ Answered by Frix last updated on 18/Oct/22 $$\int\frac{{dx}}{\mathrm{cot}^{\mathrm{3}} \:{x}\:\mathrm{sin}^{\mathrm{7}} \:{x}}=\int\frac{{dx}}{\mathrm{cos}^{\mathrm{3}} \:{x}\:\mathrm{sin}^{\mathrm{4}}…