Category: Integration

Question Number 166554 by cortano1 last updated on 22/Feb/22 $${\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\sin \left(\frac{1}{2}\pi \mathrm{x}(\mathrm{x}+1)\right)\cos \left(\pi {\mathrm{x}}^2\right)\mathrm{dx}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 101011 by Dwaipayan Shikari last updated on 29/Jun/20 $${\int }_0^{\mathrm{\infty }}\frac{sinx}{x}dx$$ Commented by Rohit@Thakur last updated on 29/Jun/20 $$UseLaplaceTransform$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…

Question Number 35456 by math1967 last updated on 19/May/18 $$\int \frac{dx}{x(x^{2018}+1)}$$ Answered by ajfour last updated on 19/May/18 $$I=-\frac{1}{2018}\int \frac{-2018x^{-19}dx}{1+x^{-2018}}$$$$\:\:=−\frac{\mathrm{1}}{\mathrm{2018}}\mathrm{ln}\:\mid\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2018}}…

Question Number 35438 by prof Abdo imad last updated on 19/May/18 $$letm>0and0<a<b$$$$1)calculate{\int }_0^{\mathrm{\infty }}\frac{cos\left(mx\right)}{(x^2+a^2)(x^2+b^2)}dx$$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{cos}\left(\mathrm{2}{x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}}…

Question Number 100967 by mathmax by abdo last updated on 29/Jun/20 $$\mathrm{calculate}{\int }_0^{\frac{\pi }{2}}\ln (2+\sin \theta )\mathrm{d}\theta$$ Answered by mathmax by abdo last updated on 01/Jul/20…