Evaluate the following integrals. Assume a and b are real numbers and n is an integer.
∫ xn sin−1 x dx;Use integration by parts.
Step 1 of 3
We have to evaluate the integral
∫ =n ∫ (Take a constant out) ….(1)
Apply integration by parts
Now put u=
∫ ] ……(3)
Now we evaluate the integral separately
Substitute back we get
Put this value in equation (3) we get
Where C is integration constant
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The full step-by-step solution to problem: 76AE from chapter: 7.5 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: assume, deriving, evaluate, formulas, Integer. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Deriving formulas Evaluate the following integrals. Assume a and b are real numbers and n is an integer.? xn sin?1 x dx;Use integration by parts.” is broken down into a number of easy to follow steps, and 25 words. Since the solution to 76AE from 7.5 chapter was answered, more than 265 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.