Find the Derivative of the Integral integral of 5x with respect to x

Problem

d()/d(x)*(∫_^)(5*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 derivative and integral operators to reveal the integrand 5*x

Final Answer

d()/d(x)*(∫_^)(5*x*d(x))=5*x

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