Find the Derivative of the Integral integral of 2x with respect to x

Problem

d()/d(x)*(∫_^)(2*x*d(x))

Solution

1. Identify the expression 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, leaving the integrand 2*x

Final Answer

d()/d(x)*(∫_^)(2*x*d(x))=2*x

Want more problems? Check here!