3 years ago

Can someone explain how to solve this?

Mathematics

1 answer:

Dmitrij [34]3 years ago

4 0

9514 1404 393

Answer:

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

Step-by-step 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)

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