Answer
$$2\sqrt{t+12 }+C$$
Work Step by Step
Given $$ \int \frac{d t}{\sqrt{t+12}}$$ Let $$ u^2= t+12\ \ \ \Rightarrow\ \ du= dt$$ Then \begin{align*} \int \frac{d t}{\sqrt{t+12}}&= \int \frac{2ud u}{u} \\ &=2u+c\\ &= 2\sqrt{t+12 }+C \end{align*}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 5 - The Integral - 5.7 Substitution Method - Exercises - Page 275: 29
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
