Question: 3. (10 pts) Suppose F(x ) = 1+ tz dt. tan x (a) (4 pts) Find F'(x ) by evaluating the integral and differentiating the

3. (10 pts) Suppose F(x ) = 1+ tz dt. tan x (a) (4 pts) Find F'(x ) by evaluating the integral and differentiating the result. (b) (6 pts) Find F'(x ) by using a

theorem from class to by differentiate the integral directly.The Fundamental Theorem of

Calculus, Part I. If f is continuous on [a, b], then the

3. (10 pts) Suppose F(x ) = 1+ tz dt. tan x (a) (4 pts) Find F'(x ) by evaluating the integral and differentiating the result. (b) (6 pts) Find F'(x ) by using a theorem from class to by differentiate the integral directly.The Fundamental Theorem of Calculus, Part I. If f is continuous on [a, b], then the function g defined by g(x) = ( f(t), as:

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