Solution Found!
Evaluate the following integrals.
Chapter 4, Problem 34E(choose chapter or problem)
Evaluate the following integrals.
\(\int \frac{d x}{x^{2} \sqrt{9 x^{2}-1}}\), \(x>\frac{1}{3}\)
Questions & Answers
QUESTION:
Evaluate the following integrals.
\(\int \frac{d x}{x^{2} \sqrt{9 x^{2}-1}}\), \(x>\frac{1}{3}\)
ANSWER:Problem 34E
Evaluate the following integrals.
, x >
Answer;
Step 1
The given integral is , x >
By , the substitution method we can evaluate the limit .
For our convenience let , us take x = sec(p) or x =
cosec(p)
Let , x =sec(p) , that implies
= sec(p) =
,
= cos(p) =
,
sin(p) ==
and tan(p) =
=
…………..(1)
Then the integrand becomes ;
=
= , since