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![Evaluate the following integral using trigonometric substitution.
\[
\int \frac{d x}{x^{3} \sqrt{x^{2}-400}}, x>20
\]
\[
\int](https://media.cheggcdn.com/study/0f3/0f341795-0266-459f-b3b0-16348e6e1069/image)
Expert Answer
here the given integral is ?dxx3(x2?400)we use trignometic substitution to solve the given integral let x=20sin?? and dx=20cos??dthtanow the integral