Question

Determine which trig substitution you have to do to evaluate the following integral [ int frac{x}{sqrt{x^{2}-9}} d x ] Something else ( x=3 sec heta ) ( x=3 sin heta ) ( x=3 an heta )

          Determine which trig substitution you have to do to evaluate the following integral
[
int frac{x}{sqrt{x^{2}-9}} d x
]

Something else
( x=3 sec 	heta )
( x=3 sin 	heta )
( x=3 	an 	heta )

$Determine which trig substitution you have to do to evaluate the following integral [ int fracxsqrtx^2-9 d x ] Something else ( x=3 sec heta ) ( x=3 sin heta ) ( x=3 an heta )$

Added by Chamoda R.

Calculus Early Transcendentals

James Stewart 6th Edition

Chapter 7

Instant Answer

Solved by Expert T. L.

02/15/2024

Step 1

This suggests that we should use a trigonometric substitution of the form $x=a \sec \theta$ or $x=a \csc \theta$. Since $\sec \theta$ and $\csc \theta$ are positive for all $\theta$, we can use either one. However, $\sec \theta$ is more commonly used, Show more…

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