Dazzcat
Dazzcat Dazzcat
  • 03-02-2021
  • Mathematics
contestada

Can someone explain how to solve this?

Can someone explain how to solve this class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 03-02-2021

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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