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the integral becomes cos cos

The integral becomes cos cos

Solved Step by Step With Explanation-Evaluate Integral

Questions

Solved Step by Step With Explanation- Evaluate Integral

Answer

In this case, A = 5t and B = 10t. So, the integral becomes:

∫₀^(π/2) (1/2)[cos(5t + 10t) + cos(5t - 10t)] dt.

Now, integrate cos(15t) with respect to t:

(1/2)∫₀^(π/2) cos(15t) dt = (1/2) * (1/15)sin(15t) ∣ from 0 to π/2

(1/30)[1 - 0] = 1/30

So, the correct answer is:

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