Solution Found!
Evaluate the following integrals.
Chapter 4, Problem 32E(choose chapter or problem)
QUESTION:
Evaluate the following integrals.
\(\int \frac{\sqrt{9-x^{2}}}{x^{2}} d x\)
Questions & Answers
QUESTION:
Evaluate the following integrals.
\(\int \frac{\sqrt{9-x^{2}}}{x^{2}} d x\)
ANSWER:Problem 32E
Evaluate the following integrals.
dx.
Answer;
Step 1
The given integral is
By the substitution method we can evaluate the limit .
For our convenience let , us take x = 3 sin(p) (or) x = 3 cos(p)
Let x = 3 sin(p) , that implies = sin(p) = , = cos(p) = , and tan(p) = = , cot (p) = …………..(1)
Then the integrand becomes =
= , since = 9.
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