Category: Integration

Question Number 43907 by abdo.msup.com last updated on 17/Sep/18 $$find\int \frac{{cos}^{2}x-{sin}^{2}x}{3+{tan}^{2}x}dx$$ Commented by maxmathsup by imad last updated on 18/Sep/18 $${let}\:{I}\:=\:\int\:\:\frac{{cos}^{\mathrm{2}}…

Question Number 43905 by abdo.msup.com last updated on 17/Sep/18 $$calculate{\int }_1^{+\mathrm{\infty }}\frac{dx}{x^3\sqrt{2+x^2}}$$ Commented by maxmathsup by imad last updated on 18/Sep/18…

Question Number 174965 by cortano1 last updated on 15/Aug/22 $$\int \frac{x+\sin x}{1+\cos x}dx=?$$ Answered by som(math1967) last updated on 15/Aug/22 $$\int \frac{x}{2{cos}^2\frac{x}{2}}dx+\int \frac{2sin\frac{x}{2}cos\frac{x}{2}}{2{cos}^2\frac{x}{2}}dx$$$$\frac{\mathrm{1}}{\mathrm{2}}\int{xsec}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}{dx}\:+\int{tan}\frac{{x}}{\mathrm{2}}{dx}…

Question Number 109378 by shahria14 last updated on 23/Aug/20 Answered by john santu last updated on 23/Aug/20 $$\frac{\approx JS\approx }{\mathrm{<img\; draggable="false"\; role="img"\; class="emoji"\; alt="◼"\; src="https://s.w.org/images/core/emoji/15.0.3/svg/25fc.svg">}★\mathrm{<img\; draggable="false"\; role="img"\; class="emoji"\; alt="◼"\; src="https://s.w.org/images/core/emoji/15.0.3/svg/25fc.svg">}}$$$$\sqrt{\frac{1+x}{1-x}.\frac{1+x}{1+x}}=\frac{1+x}{\sqrt{1-x^2}}$$$$\int\:\sqrt{\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}}\:{dx}\:=\:\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\:{dx}\:+\int\:\frac{{x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\:{dx}…

Question Number 109366 by mnjuly1970 last updated on 23/Aug/20 Commented by 150505R last updated on 24/Aug/20 $$answeris-\frac{\pi }{8}log2\dots \dots .smallmistake\dots .$$$$$$ Terms of Service Privacy…