Question

Integrate[cos(t^10), {t, cos(x), 10x}]
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Answer 1

You're never going to actually integrate it, you'll just use F(x) as your name for the integral (antiderivative) of cos(t)^10 dt, and then notice later in the problem that you never need F(a) or F(b) ... you only need F'(a) and F'(b), because of the Fundamental Theorem of Calculus.