Question

Evaluate the definite integral
8
S (3x^2 + 3)/(x^2) dx
5

Not sure which substitution to use. Please show your work & explain.

Thanks

Answer 1

his one is actually pretty straightforward. Just divide by x²

∫(3x² + 3)/x² dx = ∫ 3 + 3/x² dx

= 3x - 3/x + C
or
(3x² - 3)/x + C