Find the general antiderivative, $F(x)$, of the following functions:

1. $f(x) = 15x^4 + 4x − 3$

   Hint (a):

   'Undo' the Power Rule.

   Answer (a):

   $3x^5 + 2x^2 − 3x + 3C$

2. $f(x) = −2\operatorname{cos }x$

   Hint (b):

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

3. $f(x) = −4x^3 + 10$

   Hint (c):

   See (a).