Category: Integration

Question Number 88462 by M±th+et£s last updated on 10/Apr/20 Commented by mathmax by abdo last updated on 10/Apr/20 $${S}_{{n}} =\int_{\mathrm{7}{n}+\mathrm{1}} ^{\mathrm{22}{n}} \:\frac{{dt}}{\mathrm{2}{t}+\mathrm{1}}\:\Rightarrow{S}_{{n}} =\left[\frac{\mathrm{1}}{\mathrm{2}}{ln}\left(\mathrm{2}{t}+\mathrm{1}\right)\right]_{\mathrm{7}{n}+\mathrm{1}} ^{\mathrm{22}{n}} \…

Question Number 88429 by M±th+et£s last updated on 10/Apr/20 $$showthat$$$${\int }_0^{1}ln\left(x\right){sin}^{-1}\sqrt{x}dx=\frac{\pi }{2}(ln\left(2\right)-1)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 88414 by abdomathmax last updated on 10/Apr/20 $$findapprocimstivevalueof{\int }_{\frac{\pi }{3}}^{\frac{\pi }{2}}\frac{x}{sinx}dx$$ Commented by mathmax by abdo last updated on 12/Apr/20 $${we}\:{have}\:{sinx}\:={x}−\frac{{x}^{\mathrm{3}} }{\mathrm{6}}\:+….\Rightarrow{x}−\frac{{x}^{\mathrm{3}}…

Question Number 88415 by abdomathmax last updated on 10/Apr/20 $$findL\left(\frac{1-cosx}{x^2}\right)withLlsplacetransform$$ Commented by jagoll last updated on 10/Apr/20 $$\mathscr{L}\left(\mathrm{1}−\mathrm{cos}\:\mathrm{x}\right)\:=\:\mathrm{1}−\frac{\mathrm{x}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\:=\:\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}} \…

Question Number 153946 by talminator2856791 last updated on 12/Sep/21 $$$$$$\mathrm{show}\mathrm{whether}$$$${\int }_0^{\mathrm{\infty }}\sin \left(x^2\right)\cos \left(\sqrt{x}\right)dx$$$$\mathrm{is}\mathrm{solvable}$$$$$$ Terms of…