Question

Asked Mar 25, 2019

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I am studying for a quiz and do not understand a few of the concepts that will be covered on it. Can you help me with the problem under "IV. FTC (part one)" found in the attached document? Thank you.

Step 1

The fundamental theorem of calculus states that for a continuous real-valued function, f on a closed interval [a, b], let the function F be defined, for all x in [a, b] as

Step 2

Here, the function is given as y=sin(x^{3}) which is continuous on any closed interval, hence consider a closed interval [a,b]. Use the fundamental theorem of calculus and obtain the antiderivative F as follows.

Step 3

The antiderivative F which is uniformly c...

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