Cracking The Ap Calculus ab Exam 2018

(Marvins-Underground-K-12) #1
The  height  of  each    rectangle   is  found   by  taking  the     difference  between     the     endpoints   and

dividing    by  n.  Here,   the width   of  each    rectangle   is      =   .

We  find    the bases   of  the rectangles  by  evaluating  y   =   2x  −   x^2     at  the appropriate endpoints.

= ; = ;

    =    ;  and     =   .

Therefore,  the area    is      =   .

5.

We   will    find    the     exact   area    by  evaluating  the     integral    dx.     According   to  the
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