Category: Integration

Question Number 310 by 123456 last updated on 25/Jan/15 $$\underset{1}{\stackrel{e}{\int }}{xe}^t-\frac{\ln x}{x}dx$$ Answered by prakash jain last updated on 20/Dec/14 $$\int{xe}^{{t}} {dx}−\int\frac{\mathrm{ln}\:{x}}{{x}}{dx}…

Question Number 307 by userid1 last updated on 25/Jan/15 $$\mathrm{Evaluate}\underset{0}{\stackrel{\mathrm{\infty }}{\int }}{te}^{-3t}\cos tdt$$ Commented by 123456 last updated on 20/Dec/14 $$\underset{\mathrm{0}} {\overset{\infty} {\int}}{te}^{−\mathrm{3}{t}}…

Question Number 65837 by mathmax by abdo last updated on 04/Aug/19 $$1)calculate{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{dx}{1+ix}and{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{dx}{1-ix}$$$$2)deducethevalueof{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{dx}{1+x^2}$$$$\left.\mathrm{3}\right){calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{{dx}}{\mathrm{1}+{ix}^{\mathrm{2}}…

Question Number 131364 by EDWIN88 last updated on 04/Feb/21 $$$$$$\mathrm{How}\mathrm{can}\mathrm{I}\mathrm{calculate}\mathrm{the}\mathrm{volume}$$$$\mathrm{of}\mathrm{a}\mathrm{region}\mathrm{bounded}\mathrm{by}\mathrm{y}={\mathrm{x}}^2+3;\mathrm{x}=1$$$$\mathrm{and}\mathrm{x}=2\mathrm{rotating}\mathrm{about}\mathrm{the}\mathrm{y}=7\mathrm{using}$$$$\mathrm{the}\mathrm{shell}\mathrm{method}.$$ Answered by bramlexs22 last…

Question Number 65825 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $$letconsidertworealnumberspandsuchas{p}^2-q^2=pq$$$$Provethat$$$$\:\:\:{J}=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dv}}{\:^{{q}} \sqrt{\left(\mathrm{1}+\:^{{q}} \sqrt{{v}^{{p}}…