Question

Can someone please help solve these indefinite integrals :) Thanks!!!

Answer 1

Well, \[\int\limits_{}^{}e ^{u}=\frac{ e ^{u} }{ du } \]So basically, the first one is simply e to the same power, but then divided by the derivative of the power.

Answer 2

The second one, let u = sin5x
The 3rd one, the first thing I think of to do is try adding 5 and subtracting 5 at the same time in the numerator. This lets you split it up into two fractions and cancel out the numerator.
the last one just let u = x^2 + 5x