Question

When F is defined for x ≥ −6 by F(x)= integral from -6 to x (6t^2+5t-1)/(3+4t^2) dt. determine the largest interval(s) on which F
is decreasing.

Answer 1

have you found F'(x)?

Answer 2

no, going to do it now

Answer 3

F'(x)= (6x^2+5x-1)/(3+4x^2)

Answer 4

@freckles so how do I find where F(x) is increasing?

Answer 5

the function F is increasing when F' is positive

Answer 6

the function F is decreasing when F' is negative

Answer 7

solve the inequality
\[\frac{6x^2+5x-1}{3+4x^2} <0\]

Answer 8

got it, thank you