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JH
Numerade Educator

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Problem 40 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int_0^\pi \sin 6x \cos 3x\ dx $

Answer

$\frac{4}{9}$

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Video Transcript

the first thing we should do here is used this formula on the incident. So in our case, we have a equals six x be evil three x so squat and use this formula zero pie. And then we have signed I necks signed three x and we can evaluate this plug in the end points. So we hear minus negative one over eighteen and then minus and then hear negative one over six and then plug in zero and then go ahead and simplify this. We have won over eighteen one over six, one over eighteen. One of our six couldn't simplify that to be for over nine, and that's a final answer.