Evaluate the Integral integral of cos(8x) with respect to x

Problem

(∫_^)(cos(8*x)*d(x))

Solution

1. Identify the integral form as (∫_^)(cos(a*x)*d(x)) where a=8

2. Apply the integration rule for the cosine function, which states that (∫_^)(cos(a*x)*d(x))=sin(a*x)/a+C

3. Substitute the value a=8 into the formula.

4. Add the constant of integration C to complete the indefinite integral.

Final Answer

(∫_^)(cos(8*x)*d(x))=sin(8*x)/8+C

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