PLEASE SOLVE USING PYTHON AND FROM SYMPY IMPORT ONLY

PLEASE SOLVE USING PYTHON AND FROM SYMPY IMPORT ONLY

1. Given f(x)=5x2(x37)1/2 : (a) Make an appropriate substitution to change f(x)dx to a function of u and integrate this function. (b) Confirm your answer to part (a) by integrating f(x)dx directly. Show that your answers for part (a) and (b) are the same. (c) Use the definite integral from part (b) and the Fundamental Theorem of Calculus to evaluate 23f(x)dx (give exact and approximate answers). (d) Check your answer to part (c) by using Python to directly evaluate 23f(x)dx