Use the table of integrals to find the integral.

Name: Use the table of integrals to find the integral.
Brand: Quizplus
Rating: 4.9 (34 reviews)

Question

Use the table of integrals to find the integral. ​  ​

Quizplus · Accepted Answer

Using the table of integrals, we find that: 
∫(1/√(1-x²))dx = arcsin(x) + C 
Substituting x = sin(t), we have: 
∫(1/√(1-sin²(t)))cos(t) dt = ∫(1/√(cos²(t)))cos(t) dt = ∫(sec(t)) dt = ln|sec(t) + tan(t)| + C 
Therefore, the correct answer is C.

Use the Table of Integrals to Find the Integral