Category: Integration

Question Number 8070 by FilupSmith last updated on 29/Sep/16 $$\mathrm{a}\mathrm{line}L\mathrm{intersec}ts(0,0)andthecurve$$$$y=x^{2}atx=t.$$$$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{line}?$$$$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{area}\mathrm{between}L\mathrm{and}y\mathrm{from}$$$$x=0\mathrm{to}x=t?$$ Answered by sandy_suhendra last…

Question Number 139092 by mathdanisur last updated on 22/Apr/21 $$\mathrm{\Omega }=\underset{0}{\stackrel{\mathrm{\infty }}{\int }}\frac{xsinh\left(\pi x\right)e^{-x^2}}{1+x^2}dx$$ Answered by mathmax by abdo last updated on…

Question Number 73545 by Rio Michael last updated on 13/Nov/19 $$evaluate\int lnxdx$$ Commented by Tony Lin last updated on 13/Nov/19 $$integrationbypart$$$$\int{f}\:'\left({x}\right){g}\left({x}\right)={f}\left({x}\right){g}\left({x}\right)−\int{f}\left({x}\right){g}\:'\left({x}\right) \…

Question Number 7960 by tawakalitu last updated on 25/Sep/16 $$\int \frac{4-x}{4+x}dx$$ Commented by Yozzia last updated on 25/Sep/16 $$\int \frac{4-x}{4+x}dx=\int (\frac{8}{4+x}-1)dx=8ln(x+4)-x+c$$ Commented by tawakalitu…

Question Number 7959 by tawakalitu last updated on 25/Sep/16 $$\int \frac{{sin}^{-1}\left(x\right)}{1-x^2}dx$$ Commented by nick last updated on 26/Sep/16 $${do}\:{you}\:{mean}\:\int\frac{\mathrm{sin}^{−\mathrm{1}} \left({x}\right)}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx} \…