Category: Integration

Question Number 10191 by FilupSmith last updated on 29/Jan/17 $$\int_{\mathrm{0}} ^{\:\pi} \mathrm{sin}\left({x}\right)^{\mathrm{cos}\left({x}\right)} {dx} \\ $$ Answered by arge last updated on 30/Jan/17 Terms of Service…

Question Number 75721 by Gazella thomsonii last updated on 15/Dec/19 $$\mathrm{solve}\:\mathrm{this}\:\mathrm{complex}\:\mathrm{integral}\int_{−\infty} ^{+\infty} \:\frac{{e}^{\boldsymbol{{i}}{t}} }{\:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }}\mathrm{d}{t} \\ $$ Commented by MJS last updated on 15/Dec/19 $$\underset{−\infty}…

Question Number 141244 by ajfour last updated on 17/May/21 $${I}=\int_{\mathrm{0}} ^{\:\infty} \frac{{x}\left\{\left({a}^{\mathrm{2}} −{b}^{\mathrm{2}} \right){x}−\mathrm{2}{a}^{\mathrm{2}} {x}^{\mathrm{2}} −\mathrm{2}{b}^{\mathrm{2}} \right\}{dx}}{\left({a}^{\mathrm{2}} {x}^{\mathrm{2}} +{b}^{\mathrm{2}} \right)^{\mathrm{2}} \left\{\left({a}^{\mathrm{2}} −{b}^{\mathrm{2}} \right){x}+{a}^{\mathrm{2}} {x}^{\mathrm{2}} +{b}^{\mathrm{2}}…

Question Number 141240 by Ar Brandon last updated on 16/May/21 $$\mathrm{Solve}\:\mathrm{using}\:\mathrm{fourier}'\mathrm{s}\:\mathrm{series} \\ $$$$−\mathrm{y}''+\mathrm{y}=\mathrm{e}^{−\mathrm{2}\mid\mathrm{x}\mid} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 10147 by ridwan balatif last updated on 27/Jan/17 $$\int\sqrt{\frac{\mathrm{p}}{\mathrm{p}−\mathrm{1}}}\mathrm{dp}=…? \\ $$ Commented by prakash jain last updated on 27/Jan/17 $${p}={x}^{\mathrm{2}} \\ $$$${dp}=\mathrm{2}{xdx} \\…