Evaluate each of the following integrals.

1. $\int ( 6 x ^ { 3 } - 2 x + 5 ) d x$

   Hint (a):

   'Undo' the Power Rule.

2. $\int _ { 2 } ^ { 4 } ( 6 x ^ { 3 } - 2 x + 5 ) d x$

   Hint (b):

   Use your answer from part (a) to compute the integral on the interval from $2$ to $4$.

   Answer (b):

   $358$

3. $\int ( 9 t ^ { 2 } - 1 ) d t$

   Hint (c):

   See the hint from part (a).

4. $\int _ { - 2 } ^ { 2 } ( 9 t ^ { 2 } - 1 ) d t$

   Hint (d):

   Use your answer from part (c) to compute the integral on the interval from $−2$ to $2$.

5. $\int ( \operatorname { sin } ( m ) + \frac { 1 } { 3 } m ^ { 2 } ) d m$

   Hint (e):

   Remember that the integral of $\sin\left(x\right)$ is $−\cos\left(x\right)+C$.

6. $\int _ { - \pi } ^ { \pi } ( \operatorname { sin } ( m ) + \frac { 1 } { 3 } m ^ { 2 } ) d m$

   Hint (f):

   Use your answer from part (e) to compute the integral on the interval from $−π$ to $π$

   Answer (f):

   $\frac{2\pi ^3}{9}$