Category: Differentiation

Question Number 98244 by ~blr237~ last updated on 12/Jun/20 $${\int }_0^{2\pi }{xe}^{cosx}cos\left(sinx\right)dx=2{\pi }^2$$ Answered by maths mind last updated on 15/Jun/20 $${e}^{{cos}\left({x}\right)+{isin}\left({x}\right)} ={e}^{{cos}\left({x}\right)}…

Question Number 163732 by mnjuly1970 last updated on 09/Jan/22 $$$$$$$$$$\mathrm{I}f,\mathit{\varphi }={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{sin\left(x\right).{ln}^2\left(x\right)}{x}then$$$$find:\mathcal{I}m\left(\mathit{\varphi }\right)=?\mathrm{<img\; draggable="false"\; role="img"\; class="emoji"\; alt="◼"\; src="https://s.w.org/images/core/emoji/15.1.0/svg/25fc.svg">}m.n$$$$$$ Terms of…

Question Number 163700 by blackmamba last updated on 09/Jan/22 $$\mathcal{K}\left(x\right)=\frac{3\cos x}{5+4\sin x}$$$$\begin{array}{c}max\mathcal{K}\left(x\right)\\ min\mathcal{K}\left(x\right)\end{array}\}=?$$ Answered by mr W last updated on 10/Jan/22 $$\frac{3\cos x}{5+4\sin x}=k$$$$\mathrm{3}\:\mathrm{cos}\:{x}−\mathrm{4}{k}\:\mathrm{sin}\:{x}=\mathrm{5}{k}…

Question Number 163613 by mnjuly1970 last updated on 08/Jan/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 97972 by Aniruddha Ghosh last updated on 10/Jun/20 $$\mathrm{Prove}\mathrm{that},$$$$\frac{\mathit{d}}{\mathit{d}\mathit{x}}\left({\mathit{e}}^{\mathit{x}}\right)={\mathit{e}}^{\mathit{x}}$$ Answered by abdomathmax last updated on 10/Jun/20 $$\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{e}^{\mathrm{x}} \right)\:=\mathrm{lim}_{\mathrm{h}\rightarrow\mathrm{0}}…