Solution
Solution
Solution steps
Apply u-substitution
Apply Trigonometric Substitution
Take the constant out:
Rewrite using trig identities
Take the constant out:
Apply the Sum Rule:
Substitute back
Simplify
Add a constant to the solution
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Frequently Asked Questions (FAQ)
What is the integral of e^xsqrt(9-e^{2x)} ?
The integral of e^xsqrt(9-e^{2x)} is 9/2 (arcsin(1/3 e^x)+1/2 sin(2arcsin(1/3 e^x)))+C