Substitution in the indefinite integral help? I’m getting both of my answers wrong?

Captain Matticus, LandPiratesInc2020-12-03T03:14:20Z

Favorite Answer

u = e^(x/2)
du = (1/2) * e^(x/2) * dx

du / u^2 =>
(1/2) * e^(x/2) * dx / e^(x) =>
(1/2) * dx / e^(x/2)

u(x) = e^(x/2) is what you're looking for.  Don't worry about the (1/2) bit in the numerator.  That can be factored out of the integral.

Also, you can't have u = -e^(-u) as a substitution.

u = e^(x/2)
du = (1/2) * e^(x/2) * dx

Anonymous2020-12-05T07:31:31Z

Another homework cheater

ted s2020-12-03T04:42:52Z

 multiply  the integrand by e^x/e^x to get to du / u².....u = e^x