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Deriving formulas Evaluate the following integrals. Assume
Chapter 7, Problem 76AE(choose chapter or problem)
QUESTION:
Deriving formulas Evaluate the following integrals. Assume a and b are real numbers and n is an integer.
\(\int x^{n} \sin ^{-1} x \ d x\); Use integration by parts.
Questions & Answers
QUESTION:
Deriving formulas Evaluate the following integrals. Assume a and b are real numbers and n is an integer.
\(\int x^{n} \sin ^{-1} x \ d x\); Use integration by parts.
ANSWER:Answer
We have to evaluate the integral
∫
∫ =n ∫ (Take a constant out) ….(1)
Apply integration by parts
….(2)
Now put u=
∫ ]
∫ ] ……(3)
Now we evaluate the integral separately