`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.

Expert Answers
gsarora17 eNotes educator| Certified Educator

`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))`