## Exam-Style Question on Integration## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 43. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is not allowed.

Find the value of \(a\) if \(\pi \lt a \lt 2\pi\) and:

$$ \int_\pi^a sin3x dx = -\frac13$$
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