How do you use the first part of the Fundamental Theorem of Calculus to find the derivative of #y = int 3(sin(t))^4 dt# from #e^x# to 1?
The derivative is
Remember that by the fundamental theorem of calculus, a definite integral of a function is calculated using its antiderivative.
Because the question asks for it, we take the derivative.
Don't be scared.
But by definition of an antiderivative,