Question

I have a question how would you go about integrating
S (x^2-1)/(x^(3/2))dx

thank you

Answer 1

As there is no product rule or quotient rule perform the division of each term and then integrate each one separately
for example S(x^2/x^1.5) and S(-1//x^1.5)

Answer 2

Simplify the exponents in the first term and then integrate like\[\int\limits x^n dx = \frac{x^{n+1}}{n+1}\]