Use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.
Step 1 of 3:
In this problem, we need to evaluate the integral , by using an appropriate substitution and then trigonometric substitution.
Step 2 of 3:
Given integral is
Let us take,
Now differentiating on both sides we get
If , then
If , then
Hence, the limits are
Substitute, these values in the given integral we get.
Textbook: Thomas' Calculus: Early Transcendentals
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
The full step-by-step solution to problem: 35E from chapter: 8.4 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. Since the solution to 35E from 8.4 chapter was answered, more than 234 students have viewed the full step-by-step answer. The answer to “Assorted IntegrationsUse an appropriate substitution and then a trigonometric substitution to evaluate the integrals.” is broken down into a number of easy to follow steps, and 14 words. This full solution covers the following key subjects: Substitution, integrations, evaluate, Integrals, assorted. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.