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whatlifeforme
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Homework Statement
evaluate the integral.
Homework Equations
integral (x^3 / (x^2 - 16)
The Attempt at a Solution
x=4sec∅
dx=4sec∅tan∅d∅
1. i substituted those values in, and then split sec^4∅ into sec^2∅ and (1+tan^2∅).
2. integral 16 (1/u) du + integral 16 (u) du.
3. end with:
16 * ln|sqrt(x^2 - 16) / 4| + (1/2) (x^2 - 16)
however, the answer is:
(x^2)/2 + 8 * ln|x^2 - 16| + c.