Category: Integration

Question Number 76779 by mathmax by abdo last updated on 30/Dec/19 $$calculate{\int }_0^{\pi }\frac{x^{2}cosx}{3+{sin}^{2}x}dx$$ Commented by mathmax by abdo last updated…

Question Number 142285 by qaz last updated on 29/May/21 $$\mathcal{L}\left(\frac{1+2\mathrm{bt}}{\sqrt{\mathrm{t}}}{\mathrm{e}}^{\mathrm{bt}}\right)\left(\mathrm{s}\right)=?$$ Answered by Dwaipayan Shikari last updated on 29/May/21 $$\mathscr{L}\left({f}\left({t}\right)\right)\left({s}\right)=\int_{\mathrm{0}} ^{\infty} {f}\left({t}\right){e}^{−{st}} \:{dt}…

Question Number 142256 by rs4089 last updated on 28/May/21 $${\int }_0^{\mathrm{\infty }}\frac{sinx}{x^{1-a}}dx$$ Answered by Dwaipayan Shikari last updated on 28/May/21 $$\int_{\mathrm{0}} ^{\infty}…

Question Number 142248 by gsk2684 last updated on 28/May/21 Commented by gsk2684 last updated on 31/May/21 $$\mathrm{let}\mathrm{a}>0\mathrm{and}$$$$\mathrm{D}=\{(\mathrm{x},\mathrm{y})/0\le \mathrm{x}\le 1,0\le \mathrm{y}\le 3\mathrm{x}\}$$$$\mathrm{consider}\mathrm{the}\mathrm{following}\mathrm{integral}$$$$\int\underset{\mathrm{D}} {\int}\left(\mathrm{3x}+\mathrm{y}\right)\left(\mathrm{3x}−\mathrm{y}\right)^{\mathrm{a}} \mathrm{dxdy}…

Question Number 76688 by john santu last updated on 29/Dec/19 $$calculate\int \frac{1}{lnx}+ln\left(lnx\right)dx.$$ Answered by benjo 1/2 santuyy last updated on 29/Dec/19 Commented by john…