Category: Integration

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…

Question Number 22843 by gourav~ last updated on 22/Oct/17 $$calculatethevalueof{\int }_0^{1000}{e}^{x-\left[x\right]}dx=?$$$$where\dots .\left[x\right]isgreatestintegerfuncton$$ Answered by ajfour last updated on 23/Oct/17 $${let}\:{I}=\int_{\mathrm{0}}…

Question Number 88357 by jagoll last updated on 10/Apr/20 $$\int \underset{1}{\stackrel{4}{}}\frac{\mathrm{dx}}{(4\mathrm{x}-1)\sqrt{\mathrm{x}}}$$ Commented by john santu last updated on 10/Apr/20 $$[t=\sqrt{x},2tdt=dx]$$$$\underset{\mathrm{1}}…