Think you’ve got your head wrapped around **The Fundamental Theorem of Calculus**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. Let

and , where *k* is any integer.

Q. Let . For which values of *x* is *F*(*t*) positive?

|*x*| > 1

|*x*| < 1

Q. Define a function *F*(*x*) by

Which of the following best represents the value *F*(π)?

Q. Let *f*(*x*) be a continuous function. The second Fundamental Theorem of Calculus says that

the function is an antiderivative of *f*(*x*).

the function is an antiderivative of *f*(*x*).

the function is an antiderivative of *f*(*x*).

the function is an antiderivative of *f*(*x*).

Q. Which of the following is NOT an antiderivative of *e*^{ex}?

Q. Which of the following is an antiderivative of cos (*x*^{2}) that equals 2 when *x* = π?

Q. Let and . Then

0

Q. The equation means

Q.

cos (*x*^{2})

-cos (*x*^{2})

cos(*x*^{2}) – cos 4

2 – cos(*x*^{2})

Q.