Category: Integration

Question Number 28756 by abdo imad last updated on 29/Jan/18 $$findintermsof\lambda {\int }_0^{\mathrm{\infty }}{e}^{-\lambda t}\frac{sint}{\sqrt{t}}dtwith\lambda >0$$ Commented by abdo imad last updated on 30/Jan/18 $${let}\:{put}\:{I}=\:\int_{\mathrm{0}}…

Question Number 159823 by tounghoungko last updated on 21/Nov/21 Answered by Ar Brandon last updated on 21/Nov/21 $${I}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\sqrt{\mathrm{1}−{x}}}{\:\sqrt{\mathrm{1}+{x}}}\mathrm{sin}^{−\mathrm{1}} {xdx}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}−{x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\mathrm{sin}^{−\mathrm{1}} {xdx}…

Question Number 94278 by  M±th+et+s last updated on 17/May/20 $${\int }_0^1\frac{e^{\sqrt{x}}}{\sqrt{x}}dx$$ Commented by PRITHWISH SEN 2 last updated on 17/May/20 $$\mathrm{e}^{\sqrt{\mathrm{x}}}…

Question Number 94243 by mhmd last updated on 17/May/20 $$Byusingthedoubleintegralfindtheareaoftheregiin$$$$boundedbythecurvey=x^2+2x,y=x^2-2xandx-axis$$$$\left(sketchtheregionofintegration\right)$$$$pleassirhelpme$$ Commented by Ar Brandon last…

Question Number 28706 by students last updated on 29/Jan/18 $$mostimportantquestiongorboaroriit$$$$solvetheintegration\frac{1}{3sinx+4cosx}$$ Commented by abdo imad last updated on 29/Jan/18 $$letputI=\int \frac{dx}{3sinx+4cosx}andusethech.tan\left(\frac{x}{2}\right)=t$$$${I}=\:\int\:\:\:\:\frac{\mathrm{1}}{\frac{\mathrm{6}{t}}{\mathrm{1}+{t}^{\mathrm{2}}…