What is the general antiderivative, $F$, of each of the following functions?

1. $f\left(x\right)=$$15x^4+4x-3$

   Hint (a):

   'Undo' the Power Rule.

   Answer (a):

   $3x^{5} + 2x^{2} − 3x + 3C$

2. $f\left(x\right)=$$-2\cos\left(x\right)$

   Hint (b):

   How does the coefficient affect the shape of the original graph? How does it affect the slope of the original graph?

3. $f\left(x\right)=$$-4x^3+10$

   Hint (c):

   See (a).