Category: Integration

Question Number 14284 by tawa tawa last updated on 30/May/17 Answered by Tinkutara last updated on 30/May/17 $$\int_{\frac{−\mathrm{3}}{\mathrm{2}}} ^{\infty} \frac{{dx}}{\mathrm{4}{x}^{\mathrm{2}} \:+\:\mathrm{12}{x}\:+\:\mathrm{13}}\:=\:\frac{\mathrm{1}}{\mathrm{4}}\int_{\frac{−\mathrm{3}}{\mathrm{2}}} ^{\infty} \frac{{dx}}{{x}^{\mathrm{2}} \:+\:\mathrm{3}{x}\:+\:\frac{\mathrm{13}}{\mathrm{4}}} \…

Question Number 14273 by christine last updated on 30/May/17 Answered by Tinkutara last updated on 30/May/17 $$\int x^{-\frac{1}{2}}dx=2x^{\frac{1}{2}}+C$$ Terms of Service Privacy…

Question Number 145339 by qaz last updated on 04/Jul/21 $$\mathrm{Let}\mathrm{f}\left(\mathrm{x}\right)={\mathrm{e}}^{\mathrm{x}}\cos \mathrm{x},\mathrm{Find}\underset{\mathrm{n}=0}{\sum ^{\mathrm{\infty }}}\frac{{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(\mathrm{x}\right)}{2^{\mathrm{n}}}=?$$ Answered by mathmax by abdo last updated on…

Question Number 14243 by tawa tawa last updated on 30/May/17 $$\int \left[\mathrm{x}{\left(\mathrm{lnx}\right)}^2\right]\mathrm{dx}$$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 30/May/17 $${I}=\int{x}^{\mathrm{2}} {ln}^{\mathrm{2}} {xdx} \…

Question Number 79758 by mathmax by abdo last updated on 27/Jan/20 $$findvalueof{\int }_0^{1}ln(1+{ix}^2)dxand{\int }_0^{1}ln(1-{ix}^2)dxwithi=\sqrt{-1}$$ Commented by mathmax by abdo…