Category: Integration

Question Number 95581 by Ar Brandon last updated on 26/May/20 $$\int \ln \mid \cot \left(\mathrm{x}/2\right)\mid \mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 95562 by peter frank last updated on 26/May/20 $$\mathrm{show}\mathrm{that}$$$$\int \frac{\sin (\mathrm{x}-\theta )}{\sin \mathrm{x}}\mathrm{dx}=\mathrm{xcos}\mathrm{x}-\sin \theta \log \sin \mathrm{x}$$ Answered by Ar Brandon last updated on 26/May/20 $$\boldsymbol{\mathrm{sin}}\left(\boldsymbol{\mathrm{x}}−\boldsymbol{\theta}\right)=\boldsymbol{\mathrm{sin}}\left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{cos}}\left(\boldsymbol{\theta}\right)−\boldsymbol{\mathrm{cos}}\left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{sin}}\left(\boldsymbol{\theta}\right) \…

Question Number 161089 by mnjuly1970 last updated on 12/Dec/21 $$$$$$provethat$$$$\mathrm{I}={\int }_0^{\frac{\pi }{2}}\ln (1+sin\left(2\alpha \right))d\alpha$$$$=2\mathrm{G}-\pi \ln \left(\sqrt{2}\right)$$$$\mathrm{G}:catalanconstant$$ Answered by Ar…

Question Number 95548 by hovero clinton last updated on 25/May/20 Commented by hovero clinton last updated on 25/May/20 help solve please Commented by MJS last updated on…

Question Number 95546 by Fikret last updated on 25/May/20 $$\int x^2\sqrt{a^2+x^2}dx=?$$ Answered by MJS last updated on 25/May/20 $$\int{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{2}} +{a}^{\mathrm{2}}…