Category: Integration

Question Number 141388 by cesarL last updated on 18/May/21 $${\int }_0^{\pi /2}\sqrt{(senx\cdot cosx)}dx$$$$Help$$ Answered by Dwaipayan Shikari last updated on 18/May/21 $$\int_{\mathrm{0}}…

Question Number 141387 by cesarL last updated on 18/May/21 $${\int }_{-\pi /4}^{\pi /4}{({sec}^{2}x+tgx)}^{2}dx$$ Answered by MJS_new last updated on 18/May/21 $$\underset{−\pi/\mathrm{4}} {\overset{\pi/\mathrm{4}}…

Question Number 141373 by SLVR last updated on 18/May/21 Commented by SLVR last updated on 18/May/21 $$kindlyhelpme$$ Answered by mathmax by abdo last…

Question Number 141367 by cesarL last updated on 18/May/21 $$\int \left(\sqrt{cosx\cdot senx}\right)dx$$ Answered by MJS_new last updated on 18/May/21 $$\mathrm{if}\mathrm{sen}x=\sin x$$$$\int \sqrt{\cos x\sin x}dx=\frac{\sqrt{2}}{2}\int \sqrt{\sin 2x}dx=$$$$\:\:\:\:\:\left[{t}={x}−\frac{\pi}{\mathrm{4}}\:\rightarrow\:{dx}={dt}\right] \…

Question Number 141362 by cesarL last updated on 17/May/21 $$\int sen\left(2\theta \right){cos}^4\left(2\theta \right)d\theta$$ Answered by bemath last updated on 17/May/21 $$\int \cos {}^4\left(2\theta \right)\sin \left(2\theta \right)d\theta =$$$$−\frac{\mathrm{1}}{\mathrm{2}}\int\:\mathrm{cos}\:^{\mathrm{4}} \left(\mathrm{2}\theta\right)\:{d}\left(\mathrm{cos}\:\mathrm{2}\theta\right)\:=…