SOLUTION: By a change of variables, determine the following integral: integral ((5x^3 - 3x^2 + 1)^3/2)(5x^2 - 2x) dx Help me please

Algebra ->  Equations -> SOLUTION: By a change of variables, determine the following integral: integral ((5x^3 - 3x^2 + 1)^3/2)(5x^2 - 2x) dx Help me please      Log On


   

Question 563022: By a change of variables, determine the following integral:
integral ((5x^3 - 3x^2 + 1)^3/2)(5x^2 - 2x) dx
Help me please
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
By a change of variables, determine the following integral:
integral ((5x^3 - 3x^2 + 1)^3/2)(5x^2 - 2x) dx
=============================================
Let y+=+5x%5E3+-+3x%5E2+%2B+1
Then dy+=+%2815x%5E2+-+6x%29dx+=+3%285x%5E2+-+2x%29dx
So we can write the integral as:
%281%2F3%29int%28y%5E%283%2F2%29%2Cdy%29