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

Chapter 4, Problem 13

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QUESTION:

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

\(F(x)=\int_{x}^{0} \sqrt{1+\sec t} d t\)

 Hint: \(\int_{x}^{0} \sqrt{1+\sec t} d t=-\int_{0}^{x} \sqrt{1+\sec t} d t\)

Equation Transcription:

 

 -

Text Transcription:

F(x)=Integral from x^0 \sqrt 1+sec t dt

Integral from x^0 \sqrt 1+sec t dt=-Integral from 0^x \sqrt 1+sec t dt

Questions & Answers

QUESTION:

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

\(F(x)=\int_{x}^{0} \sqrt{1+\sec t} d t\)

 Hint: \(\int_{x}^{0} \sqrt{1+\sec t} d t=-\int_{0}^{x} \sqrt{1+\sec t} d t\)

Equation Transcription:

 

 -

Text Transcription:

F(x)=Integral from x^0 \sqrt 1+sec t dt

Integral from x^0 \sqrt 1+sec t dt=-Integral from 0^x \sqrt 1+sec t dt

ANSWER:

Step 1 of 4

Use the limit interchange rule of integral

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