?Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the

Chapter 4, Problem 9

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QUESTION:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

\(g(x)=\int_{0}^{x} \sqrt{t+t^{3}} d t\)

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QUESTION:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

\(g(x)=\int_{0}^{x} \sqrt{t+t^{3}} d t\)

ANSWER:

Step 1 of 2

Consider the given integral.

                                                                   

From the Fundamental Theorem Part 1, if the function  is continuous on  and  then, the derivative of  is .

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