Find the Integral sin(2x)

Problem

(∫_^)(sin(2*x)*d(x))

Solution

1. Identify the integral as a basic trigonometric function with a linear composition a*x where a=2

2. Apply the formula for the integral of sin(a*x) which is (∫_^)(sin(a*x)*d(x))=−cos(a*x)/a+C

3. Substitute the value a=2 into the formula.

4. Include the constant of integration C

Final Answer

(∫_^)(sin(2*x)*d(x))=−cos(2*x)/2+C

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