Question

Can someone explain how to solve this?

Answer 1

9514 1404 393

Answer:

(2/3)(e^t +1)^(3/2)

Explanation:

Use the substitution ...

u = e^t +1

Then du = e^t and you are finding the integral of ...

∫u^(1/2)·du

which you know by the power rule is ...

(2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)