Category: Integration

Question Number 140588 by mnjuly1970 last updated on 09/May/21 $$$$$$\dots \dots .Advanced\dots .★★★\dots .Calculus\dots \dots .$$$$evaluationthevalueof:$$$$\mathit{\varphi }:={\int }_0^{\frac{\pi }{2}}{sin}^2\left(x\right).ln\left(sin\left(x\right)\right)dx$$$$solution::$$$$\:\:\:\:\:\:\:\xi\:\left({a}\right):=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {sin}^{\mathrm{2}+{a}}…

Question Number 75027 by chess1 last updated on 06/Dec/19 Commented by mathmax by abdo last updated on 06/Dec/19 $$x+z=3\Rightarrow 0⩽x⩽3and0⩽z⩽3wehave0⩽y⩽2\Rightarrow$$$$\int\int\int\:\:\frac{{dxdydz}}{\left({x}+{y}+{z}\right)^{\mathrm{3}} }\:=\int_{\mathrm{0}} ^{\mathrm{3}} \left(\:\int_{{o}} ^{\mathrm{2}}…

Question Number 9482 by sou1618 last updated on 10/Dec/16 $$find{F}_n(-1)or{F}_n\left(x\right).$$$$n=1,2,3\dots \dots$$$$F_n\left(x\right)=\int {(1+x^3)}^{n}dx$$ Commented by sou1618 last…

Question Number 74997 by chess1 last updated on 05/Dec/19 Commented by chess1 last updated on 05/Dec/19 $$\mathrm{answer}:\mathrm{A}$$ Answered by mind is power last…

Question Number 140500 by qaz last updated on 08/May/21 $$\tan {}^{2}1°+\tan {}^{2}2°+\tan {}^{2}3°+\dots +\tan {}^{2}89°=\frac{15931}{3}???$$ Terms of Service Privacy Policy Contact: info@tinkutara.com