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

Problem

(∫_^)(2*sin(x)*d(x))

Solution

1. Identify the constant factor in the integrand.

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

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

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

2*(∫_^)(sin(x)*d(x))=2*(−cos(x))+C

4. Simplify the expression by multiplying the terms.

2*(−cos(x))+C=−2*cos(x)+C

Final Answer

(∫_^)(2*sin(x)*d(x))=−2*cos(x)+C

Want more problems? Check here!