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Solved: Integrating Inverses of FunctionsAnother way to
Chapter 8, Problem 76E(choose chapter or problem)
Problem 76E
Integrating Inverses of Functions
Another way to integrate f-1(x) (when f-1 is integrable, of course) is to use integration by parts with u = f-1(x) and dv = dx to rewrite the integral of f-1 as
Equations (4) and (5) give different formulas for the integral of tan-1 x:
Can both integrations be correct? Explain.
Questions & Answers
QUESTION:
Problem 76E
Integrating Inverses of Functions
Another way to integrate f-1(x) (when f-1 is integrable, of course) is to use integration by parts with u = f-1(x) and dv = dx to rewrite the integral of f-1 as
Equations (4) and (5) give different formulas for the integral of tan-1 x:
Can both integrations be correct? Explain.
ANSWER:
SOLUTION:
Step 1 of 2:
In this question, equations (4) and (5) give different formulas for the integral of tan-1 x:
State whether both these integrations be correct. Explain.