Answer
$\int 12e^x- 5x^{-2} dx= 12e^x +5x^{-1} + C$
Work Step by Step
Rules to remember:
$\int e^xdx = e^x + C $
Anti-differentiation: $\int 12e^x- 5x^{-2} dx= 12e^x - 5\times\frac{1}{-1} x^{-1} + C= 12e^x + 5x^{-1}+C$
Checking with differentiation:
$(12e^x + 5x^{-1}+C)'= 12e^x - \frac{5}{x^2}$
