2. $\int_0^{\frac{\pi}{2}} \cos \ 3\theta (1-\sin \ 3\theta) d\theta$
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The sine of 30 degrees is 1/2, so 1 - sin 30 becomes 1 - 1/2. Simplifying further, we have 1/2. Now, let's substitute this value back into the original expression: cos 30 * (1/2). The cosine of 30 degrees is √3/2, so we have (√3/2) * (1/2). Multiplying these Show more…
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