Category: Integration

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…

Question Number 140028 by mnjuly1970 last updated on 03/May/21 $$Evaluate:::$$$$P:=\underset{k=3}{\prod ^{\mathrm{\infty }}}\frac{{(k^3+3k)}^2}{k^6-64}=?$$$$\dots \dots \dots \dots \dots \dots \dots \dots ..$$ Terms of Service Privacy…

Question Number 74484 by mathmax by abdo last updated on 24/Nov/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{arctan\left(2x\right)}{x^2+3}dx$$ Commented by mathmax by abdo last updated on…

Question Number 8914 by tawakalitu last updated on 04/Nov/16 $$\int \mid \mathrm{x}\mid \mathrm{dx}$$ Commented by 123456 last updated on 05/Nov/16 $$I=\int \mid x\mid dx$$$$x>0$$$${I}=\int{xdx}=\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+{C}…