Cracking The Ap Calculus ab Exam 2018

If  we  are cutting the interval    [0, 2π] into    4   rectangles, the width   of  each    rectangle   is  .

The height  of  each    rectangle   depends on  the x-coordinate.

Step    2:  We  can now set up  the calculation for the area    of  the rectangles.

Area = + + +

= + +

(b) Find    F′(2π).

Step    1:  The Second  Fundamental Theorem of  Calculus    says    that    if  f(x)    is  a   continuous  function,

and a   is  a   constant,   then     f(t)   dt  =   f(x).