At what value of t does the local max of f ( t ) occur?

Question

t

  (x^2+11x+30)/(1+cos^2(x))dx

0

please try to do it step by step.

Answer 1

f'(x) is simply the integrand.

The denominator is never 0.

Therefore the critical values occur when x=-5 and x=-6)

You check whether they are maxima or minima.