Answer
$\frac{x^{2.3}}{2.3} +2x^{3.5}+C$
Work Step by Step
We begin by recognizing that the two terms containing x are being summed, so we can deal with them individually. We use the reverse of the power rule to integrate each term.
So:
$\int(x^{1.3}+7x^{2.5})dx$
Becomes:
$\frac{x^{1.3+1}}{1.3+1} +\frac{7x^{2.5+1}}{2.5+1}+C$
We can then simplify to get our final answer:
$\frac{x^{2.3}}{2.3} +2x^{3.5}+C$
