Category: Integration

Question Number 80485 by jagoll last updated on 03/Feb/20 $$whatisthekingrule?$$ Commented by mr W last updated on 03/Feb/20 $$inmathematics?$$$$thenkingruleis$$$$\int_{{a}}…

Question Number 80451 by abdomathmax last updated on 03/Feb/20 $$calculate{\int }_0^{\mathrm{\infty }}\frac{cos\left(\pi x\right)}{{(x^2+3)}^2}dx$$ Commented by abdomathmax last updated on 04/Feb/20 $${let}\:{I}=\int_{\mathrm{0}} ^{\infty}…

Question Number 80416 by jagoll last updated on 03/Feb/20 $$\underset{0}{\stackrel{\frac{\pi }{2}}{\int }}\frac{x\cos x}{{(1+\sin x)}^2}dx?$$ Answered by MJS last updated on 03/Feb/20 $$\int\frac{{x}\mathrm{cos}\:{x}}{\left(\mathrm{1}+\mathrm{sin}\:{x}\right)^{\mathrm{2}} }{dx}= \…

Question Number 80369 by M±th+et£s last updated on 02/Feb/20 Commented by mathmax by abdo last updated on 03/Feb/20 $${let}\:{A}\:=\int\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{3}} } \:\:\:\left(\mathrm{1}+{u}^{\mathrm{2}} \:+{v}^{\mathrm{2}} \:+{w}^{\mathrm{2}} \right)^{−\mathrm{2}} {dudvdw}…

Question Number 80332 by ~blr237~ last updated on 02/Feb/20 $$let\alpha \in \mathbb{R}and{a}_n=\underset{k=1}{\sum ^n}\frac{sin\left(k\alpha \right)}{n+k}$$$$Find\underset{n\to \mathrm{\infty }}{\lim }{a}_n$$ Commented by Rio Michael last updated…