Find the Integral 2sin(x)

Problem

(∫_^)(2*sin(x)*d(x))

Solution

1. Identify the constant in the integrand and move it outside the integral.

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

2. Apply the integration rule for the sine function, which states that the integral of sin(x) is −cos(x)

2*(∫_^)(sin(x)*d(x))=2*(−cos(x))+C

3. Simplify the expression by multiplying the constant and the trigonometric function.

2*(−cos(x))+C=−2*cos(x)+C

Final Answer

(∫_^)(2*sin(x)*d(x))=−2*cos(x)+C

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