How to solve this problem??
intln(sec^(-1)x)/(xsqrt(x^2-1))dx=?∫ln(sec−1x)x√x2−1dx=?
3 Answers
Explanation:
Let,
Using,
Take,
Explanation:
Restricting the integrand to the interval
so:
Now use the trigonometric identity:
and consider that for
Integrating by parts:
and undoing the substitution:
The answer is
Explanation:
Perform the substitution
Therefore, the integral is
Perform the integration by parts
Therefore,