Find the antiderivative

Question

Consider the function f(t) = 4sec²(t) − 9t³

Let F(t) be the antiderivative of f(t) with F(0) = 0

Then F(t) =

Answer 1

Use a memorized antiderivative for the trig term, and reverse power rule for the second term. C = 0:

F(t) = 4tant - 9/4t⁴