Solution Found!
Answer: Use the Substitution Formula in Theorem 7 to
Chapter 5, Problem 14E(choose chapter or problem)
Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1–46.
a. \(\int_{-\pi / 2}^{0}\left(2+\tan \frac{t}{2}\right) \sec ^{2} \frac{t}{2} d t\)
b. \(\int_{-\pi / 2}^{\pi / 2}\left(2+\tan \frac{t}{2}\right) \sec ^{2} \frac{t}{2} d t\)
Equation Transcription:
Text Transcription:
int_-pi/2 ^0 (2+tan t/2)sec^2 t/2 dt
int_-pi/2 ^pi/2 (2+tan t/2)sec^2 t/2 dt
Questions & Answers
QUESTION:
Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1–46.
a. \(\int_{-\pi / 2}^{0}\left(2+\tan \frac{t}{2}\right) \sec ^{2} \frac{t}{2} d t\)
b. \(\int_{-\pi / 2}^{\pi / 2}\left(2+\tan \frac{t}{2}\right) \sec ^{2} \frac{t}{2} d t\)
Equation Transcription:
Text Transcription:
int_-pi/2 ^0 (2+tan t/2)sec^2 t/2 dt
int_-pi/2 ^pi/2 (2+tan t/2)sec^2 t/2 dt
ANSWER:Solution:
Step 1 of 5:
In this question, we have to use the Substitution Formula in Theorem 7 to evaluate the integrals.