Evaluate the Integral integral of 2cos(x) with respect to x

Problem

(∫_^)(2*cos(x)*d(x))

Solution

1. Identify the constant factor in the integrand.

2. Apply the constant multiple rule for integration to move the constant outside the integral.

(∫_^)(2*cos(x)*d(x))=2*(∫_^)(cos(x)*d(x))

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

2*(∫_^)(cos(x)*d(x))=2*sin(x)+C

Final Answer

(∫_^)(2*cos(x)*d(x))=2*sin(x)+C

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