Evaluate the following using The Substitution Rule and the Fundamental Theorem of Calculus. just check my answers.

Question

Evaluate the following using The Substitution Rule and the Fundamental Theorem of Calculus.

are these correct?- https://imgur.com/a/1rv611i

The questions- https://imgur.com/xGmTcLx

Answer 1

These all look great, except for the one with e^x/(e^x+4)... you can't separate it into e^x/e^x + 4. It would be more correct to let u = e^x+4 and du = e^x dx and end up with ∫du/u