What is the antiderivative of f " " (x) if

Question

f""(x)=e^(4t)+3t^(1/6)
and f ' (0) = 2
and f (0) = 4

Answer 1

The function is .

Finding an antiderivative of the function means Integration of the function.

Integrate with respect to t on both sides.

We know that f'(0) = 2.

c = 7/2

Therefore antidrivative of is .

Now anti derivative of

Integrate on both sides with respect to x.

We know that f(0) = 4.

Therefore,

the antiderivative of is .