Answer:
3/2
Step-by-step explanation:
∫ x^(-4/3) dx
Use power rule to evaluate the integral.
-3 x^(-1/3) + C
Evaluate between x=t and x=-8.
[-3 (-8)^(-1/3) + C] − [-3 t^(-1/3) + C]
-3 (-1/2) + C + 3 t^(-1/3) − C
3/2 + 3 t^(-1/3)
Take the limit as t approaches -∞:
lim(t→-∞) [3/2 + 3 t^(-1/3)]
3/2 + 3(0)
3/2
