Category: Integration

Question Number 141930 by mathmax by abdo last updated on 24/May/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}{\mathrm{e}}^{-({\mathrm{x}}^3+\frac{1}{{\mathrm{x}}^3})}\mathrm{dx}$$ Terms of Service Privacy Policy Contact:…

Question Number 10849 by Joel576 last updated on 27/Feb/17 $$\mathrm{Given}\mathrm{that}f\left(x\right)=f(x+1000)\mathrm{for}\mathrm{every}x\in \mathbb{R}$$$$\mathrm{If}\underset{0}{\stackrel{3}{\int }}f\left(x\right)=30,\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{value}\mathrm{of}$$$$\underset{3}{\stackrel{5}{\int }}f(x+2016)dx?$$ Terms of Service Privacy Policy…

Question Number 76356 by mathmax by abdo last updated on 26/Dec/19 $$findf\left(x\right)=\int \frac{dt}{\sqrt{t^2-xt+1}}withxreal.$$ Commented by mathmax by abdo last updated on 28/Dec/19 $${t}^{\mathrm{2}}…

Question Number 76355 by mathmax by abdo last updated on 26/Dec/19 $$find\int \frac{arctan\left(\sqrt{1+x}\right)}{2+x}dx$$ Answered by john santu last updated on 27/Dec/19 $${let}\:\sqrt{\mathrm{1}+{x}}={tant}\:,\:\mathrm{1}+{x}={tan}^{\mathrm{2}} {t}\:, \…

Question Number 76352 by mathmax by abdo last updated on 26/Dec/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{sin\left(arctan(x^2+2)\right)}{x^2+1}dx$$ Commented by mathmax by abdo last updated…