Find the Derivative of the Integral integral of e^(2x) with respect to x

Problem

d()/d(x)*(∫_^)(e(2*x)*d(x))

Solution

1. Identify the operation as finding the derivative of an indefinite integral with respect to its variable of integration.

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, leaving the integrand.

Final Answer

d()/d(x)*(∫_^)(e(2*x)*d(x))=e(2*x)

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