Barrons AP Calculus

3.

6.

12.

13.

Part A

(D) Here,

(C)

(B) Note    that,   when    x   =   2   sin θ,  x   2   =   4   sin^2   θ,  dx  =   2   cos θ   dθ, and 

    Also,

when    x   =   0,  θ   =   0;

when    x   =   2,  .

(C) The given   integral    is  equivalent  to  

The figure  shows   the graph   of  f   (x) =   1   −   |x| on  [−1,1].

The area    of  triangle    PQR is  equal   to