Suppose that is a smooth function (meaning that all orders of derivatives exist and are continuous) such that , and , then evaluate
The value of the integral can be expressed in the form where , , are positive integers and is not divisible by the square of any prime. Find the value of
If the definite integral above can be expressed as where are positive integers with square free, then what is the value of ?
Evaluate the integral
Round your answer to three decimal places.
Evaluate: