Compute for each of the following continuous functions .

- .
- .
- .
- .

- Since
we take the derivative of both sides to obtain

Therefore,

- Since
we take the derivative of both sides (see part (b) of this exercise for taking the derivative of an integral like this) to obtain

Thus,

- Here we have
Here we evaluate the integral on the left,

Therefore,

Thus,

- Finally, since
we take the derivative of both sides,

Then, since

(since the cubic polynomial has only one real root at ) we have