Category: Integration

Question Number 144691 by mnjuly1970 last updated on 27/Jun/21 Answered by mnjuly1970 last updated on 27/Jun/21 $$ans:$$$$a,b,c,x,y,zpositivereal$$$$number:$$$$tituslemma:$$$$\:\:\frac{{a}^{\mathrm{2}}…

Question Number 13623 by Tinkutara last updated on 21/May/17 $$\mathrm{Evaluate}:{\int }_0^{2\pi }{e}^x\cos (\frac{\pi }{4}+\frac{x}{2})dx$$ Answered by ajfour last updated on 21/May/17 $${I}=\int_{\mathrm{0}} ^{\:\:\mathrm{2}\pi} {e}^{{x}}…

Question Number 144662 by mnjuly1970 last updated on 27/Jun/21 $$\dots \dots \dots ..\mathrm{Calculus}\dots \dots \dots ..$$$$\mathrm{In}\mathrm{A}\stackrel{\mathrm{\Delta }}{\mathrm{B}C}:$$$$\hat{\mathrm{B}}=2\hat{\mathrm{C}},a=\lambda bthenspecify$$$$thelimitsofthechanges{}^{\prime }\lambda {}^{\prime }:$$$$$$$$$$…

Question Number 144638 by liberty last updated on 27/Jun/21 $$\mathrm{Triangle}\mathrm{AOC}\mathrm{inscribed}$$$$\mathrm{in}\mathrm{the}\mathrm{region}\mathrm{cut}\mathrm{from}$$$$\mathrm{the}\mathrm{parabola}\mathrm{y}={\mathrm{x}}^2\mathrm{by}\mathrm{the}$$$$\mathrm{line}\mathrm{y}={\mathrm{a}}^2.\mathrm{Find}\mathrm{the}\mathrm{limit}$$$$\mathrm{of}\mathrm{ratio}\mathrm{of}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}$$$$\mathrm{triangle}\mathrm{to}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}$$$$\mathrm{parabolic}\:\mathrm{region}\:\mathrm{as}\:\mathrm{a}\:\mathrm{approaches} \…

Question Number 79096 by mathmax by abdo last updated on 22/Jan/20 $$calculate{\int }_0^{\mathrm{\infty }}\frac{ln\left(x\right)}{{(1+x)}^3}dx$$ Commented by mind is power last updated on…