Question

integrate with respect to x
(e^x-e^-x)^2

Answer 1

\[\int(e^x-e^{-x})^2~dx=\int(e^{2x}-2+e^{-2x})~dx\]\[\int(e^{2x})~dx-\int(2)~dx+\int(e^{-2x})~dx=\frac{e^{2x}}{2}-2x-\frac{e^{-2x}}{2}+K\]\[\int(e^x-e^{-x})^2~dx=\frac{1}{2}(e^{2x}-4x-e^{-2x})+K\]

Answer 2

Thank you so much @D3xt3R :D

Answer 3

You're welcome ;)

Answer 4

http://www.wolframalpha.com/input/?i=integrate+%28e^x-e^%28-x%29%29^2

Answer 5

Thank you @eliassaab

Answer 6

YW