Question on indefinite integrals (primitive functions) (1 Viewer)

[theodore0307]

I need help with the following question:

 

[rumbleroar]

Use substitution, let u be equal to the denominator and solve.

 

[theodore0307]

Please explain

 

[braintic]

Please explain

Have you learned the rule that the integral of [f '(x)]/[f(x)] is log[f(x)] ?

So the integral of 2x/(x^2 - 9) is log (x^2 - 9)

Since you have half of this, then you get half of the above answer.

 

[Shadowdude]

Use substitution, let u be equal to the denominator and solve.

That's a 3u method unfortunately.

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Here's how I would do it:



Just some manipulation to get the derivative of the denominator, as the numerator.