Post Video Questions

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Please answer each of these questions to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

Determine an antiderivative for $f(x)=\cos (x^2)$

$2x \sin (x^2)$ $-\sin \left ( \frac {x^3}{3} \right )$ $\int _0^x \cos (t^2) dt$ $\int _0^x 2t \sin (t^2) dt$ $\int _0^x -\sin \left ( \frac {t^3}{3} \right ) dt$ $f(x)$ doesn’t have an antiderivative

If $F(x) = \int _0^x \cos (e^t) dt$ , what is $F’(x)$ ? $\answer {\cos (e^x)}$

$F(x) = \int _0^x -4t+12 dt$ . On the interval $[0,4]$ , $F(x)$ is:

Increasing Decreasing Constant Both increasing and decreasing Can’t tell without more information

The following graph is of $y = f(t)$ over the interval $[-2,3]$ .

Which of the following choices could be the corresponding graph of $F(x) = \int _{-2}^x f(t) dt$ ?

Graph a	Graph b	Graph c	Graph d
Graph e	Graph f	Graph g	Graph h