Category: Integration

Question Number 14401 by tawa tawa last updated on 31/May/17 $$\mathrm{Find}\mathrm{the}\mathrm{contour}\mathrm{integral}\int \mathrm{c}{\mathrm{z}}^{\mathrm{z}}\mathrm{dz}$$$$\mathrm{Along}\mathrm{the}\mathrm{path}\mathrm{C}\mathrm{from}-1+\mathrm{j}\mathrm{to}5+\mathrm{j}3\mathrm{and}\mathrm{composed}\mathrm{of}\mathrm{two}\mathrm{straight}\mathrm{line}$$$$\mathrm{segments}\mathrm{the}\mathrm{first}\mathrm{from}-1+\mathrm{j}\mathrm{to}5+\mathrm{j}\mathrm{to}5+\mathrm{j}3$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 14395 by tawa tawa last updated on 31/May/17 $$\mathrm{Evaluate}{\int }_0^{\frac{\pi }{2}}\sin \left(2\mathrm{x}\right){\mathrm{e}}^{{\cos }^2\left(\mathrm{x}\right)}\mathrm{dx}$$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 31/May/17 $${u}={cos}^{\mathrm{2}}…

Question Number 14394 by tawa tawa last updated on 31/May/17 $$\mathrm{Evaluate}\int \left(\frac{\mathrm{tanx}-\mathrm{cotx}}{\mathrm{tanx}+\mathrm{cotx}}{\sec }^2\mathrm{x}\right)\mathrm{dx}$$ Answered by RasheedSindhi last updated on 31/May/17 $$\mathrm{Evaluate}\int \left(\frac{\mathrm{tanx}-\mathrm{cotx}}{\mathrm{tanx}+\mathrm{cotx}}{\sec }^2\mathrm{x}\right)\mathrm{dx}$$$$\:\int\:\left(\frac{\frac{\mathrm{sinx}}{\mathrm{cosx}}\:−\:\frac{\mathrm{cosx}}{\mathrm{sinx}}}{\frac{\mathrm{sinx}}{\mathrm{cosx}}\:+\:\frac{\mathrm{cosx}}{\mathrm{sinx}}}\:\mathrm{sec}^{\mathrm{2}}…

Question Number 79913 by Henri Boucatchou last updated on 29/Jan/20 $$ConvergenceofI={\int }_0^{\mathrm{\infty }}\frac{e^t}{e^{-t}+e^{2t}\mid sint\mid }dt$$ Commented by mathmax by abdo last updated…

Question Number 79869 by Henri Boucatchou last updated on 28/Jan/20 $$Forwitchvalueof\alpha theintegral$$$$I={\int }_0^{\mathrm{\infty }}(\frac{1}{\sqrt{1+2x^2}}-\frac{\alpha }{1+x})dxconverge;$$$$andinthiscasecalculate\alpha$$ Commented by mathmax by abdo…