Use the Fundamental Theorem of Calculus to find the derivative of the function. Simplify answer. g(x)=\int_(-3x )^(4x) (5t-6t^(2))dt

Answer 1

g(x) = ∫_-3x^4x(5t - 6t²)dt; dg(x)/dx = (20x - 96x²)·4 - (- 15x - 54x²)(- 3) = 80x - 384x² - 45x - 162x² =

35x - 546x²_.