Category: Integration

Question Number 28988 by abdo imad last updated on 02/Feb/18 $$letgive0<\alpha <1findintermsof\alpha thevalueofintegral$$$${\int }_0^{\mathrm{\infty }}\frac{dx}{x^{\alpha }(1+x)}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 94520 by john santu last updated on 19/May/20 $$\int \sqrt{e^{4x}+1}dx$$ Answered by niroj last updated on 19/May/20 $$\:\:\int\sqrt{\left(\mathrm{e}^{\mathrm{x}} \right)^{\mathrm{4}} +\mathrm{1}}\:\:\mathrm{dx}\:\: \…

Question Number 28985 by abdo imad last updated on 02/Feb/18 $$letgive{I}_{m,a}={\int }_0^{\mathrm{\infty }}\frac{cos\left(mx\right)}{(1+x^2)(x^2+a^2)}dx$$$$1)verifythat{I}_{m,1}={lim}_{a\to 1}{I}_{m,a}$$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{x}\:{sin}\left({mx}\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}}…

Question Number 28984 by abdo imad last updated on 02/Feb/18 $$findF\left(\frac{1}{1+x^4}\right)Fmeansfouriertransform.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 94510 by i jagooll last updated on 19/May/20 $$\int \frac{\sqrt{\tan x}}{\sin x.\cos x}dx$$ Commented by PRITHWISH SEN 2 last updated on 19/May/20 $$\int\frac{\mathrm{sec}^{\mathrm{2}} \mathrm{x}.\sqrt{\mathrm{tanx}}}{\mathrm{tan}\:\mathrm{x}}\:\mathrm{dx}\:\:\mathrm{now}\:\mathrm{put}\:\mathrm{tanx}=\mathrm{t}^{\mathrm{2}} \…