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

0 votes
f""(x)=e^(4t)+3t^(1/6)
and f ' (0) = 2
and f (0) = 4
asked Nov 5, 2014 in CALCULUS by anonymous

1 Answer

0 votes

The function is image.

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

Integrate with respect to t on both sides.

image

image

image

image

We know that f'(0) = 2.

image

c = 7/2

Therefore antidrivative of image is image.

Now anti derivative of image

Integrate on both sides with respect to x.

image

image

We know that f(0) = 4.

image

Therefore,

the antiderivative of image is image.

answered Nov 5, 2014 by dozey Mentor

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