`F(x) = int_x^pi(sqrt(1 + sec(t)))dt` Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

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Chapter 5, 5.3 - Problem 11 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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gsarora17 | (Level 2) Associate Educator

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`F(x)=int_x^pisqrt(1+sec(t))dt`

`F(x)=-int_pi^xsqrt(1+sec(t))dt`

`F'(x)=-d/dxint_pi^xsqrt(1+sec(t))dt`

`F'(x)=-sqrt(1+sec(x))`

 

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