Category: Integration

Question Number 140148 by aliibrahim1 last updated on 04/May/21 Answered by EDWIN88 last updated on 04/May/21 $$(\ast )\mathrm{vol}=\pi \underset{1}{\stackrel{4}{\int }}{\mathrm{x}}^2\mathrm{dy}=\pi {\left(\frac{1}{2}{\mathrm{y}}^2\right)}_1^4=\frac{15\pi }{2}$$$$\left(\ast\ast\right)\mathrm{vol}\:=\:\mathrm{2}\pi\underset{\mathrm{1}}…

Question Number 9057 by sandipkd@ last updated on 16/Nov/16 Answered by aydnmustafa1976 last updated on 16/Nov/16 $$nsin\frac{1}{n}=lim\frac{sin\frac{1}{n}}{\frac{1}{n}}=lim\frac{sint}{t}=1therefore4{\int }_0^1\frac{1}{x^2+1}dx=4.arctgx{\mid }_0^1=4(\frac{\mathrm{\Pi }}{4}-0)=\mathrm{\Pi }$$ Commented…

Question Number 140064 by Algoritm last updated on 03/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 140056 by Ndala last updated on 03/May/21 $$\mathrm{Prove}\mathrm{the}\mathrm{folowing}\mathrm{result}:$$$${\int }_0^{\frac{\pi }{2}}\cot \theta \cdot {\left(\log \sec \theta \right)}^{3}d\theta =\frac{{\pi }^4}{240}$$$$.$$$$\mathrm{I}\mathrm{need}\mathrm{your}\mathrm{help},\mathrm{if}\mathrm{possible}\mathrm{please}.$$ Answered by Ar…

Question Number 140046 by mnjuly1970 last updated on 03/May/21 $$\dots \dots \dots ..nice\dots \dots .calculus\left(I\right)\dots \dots ..$$$$\mathrm{\Theta }:={lim}_{x\to \frac{\pi }{4}}{\left(tan\left(x\right)\right)}^{tan\left(2x\right)}=?$$$$\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots .$$$$$$ Commented by mnjuly1970 last updated…