Find the Derivative of the Integral integral of cos(x) with respect to x

Problem

d()/d(x)*(∫_^)(cos(x)*d(x))

Solution

1. Identify the operation as the derivative of an indefinite integral with respect to the same variable x

2. Apply the Fundamental Theorem of Calculus, which states that the derivative of an integral of a function is the original function itself.

3. Simplify the expression by removing the integral and derivative operators, as they are inverse operations.

Final Answer

d()/d(x)*(∫_^)(cos(x)*d(x))=cos(x)

Want more problems? Check here!