Pre-Video Questions

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To go back to the list of video sets, click HERE.

Before watching the videos, think about and answer these questions to the best of your ability.

If $f$ is a continuous function and if $F^\prime (x) = f(x)$ for all real numbers $x$ , then $\int f(3x)\,dx =$

$F(3x) + C$ $\frac {1}{3}F(3x) + C$ $3F(x) + C$ $F\left (\frac {x}{3}\right ) + C$ $3F(3x) + C$

Consider the integral $\int \sin ^5(2x)\cdot \cos (x)\,dx$ . Which part of this composite integrand would be appropriate to set equal to $u$ ?

$u = 2x$ $u = \cos (x)$ $u = \sin (2x)$ $u = \sin ^5(2x)$ This integral cannot be evaluated using U-substitution.

Which of the following is equal to $\int \cos (x)e^{\sin (x)}\,dx$ ?

$\int \cos (x)e^u\,du$ $\int e^u\,du$ $\int ue^{-u}\,du$ $\int ue^{\sin (x)}\,du$ $\int e^{u}\,dx$

Overall, how confident are you in your answers?

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