Barrons AP Calculus

(b) The required    area    consists    of  two parts.  The area    of  the triangle    is

represented by      and is  equal   to  1,  while   the area    of  the

region  bounded at  the left    by  x   =   1,  above   by  y   =   x   +   4,  and at  the right   by

the parabola    is  represented by   .  This    equals

The required    area,   thus,   equals  .

(a) 1975    to  1976    and 1978    to  1980.

(b) 1975    to  1977    and 1979    to  1981.

(c) 1976    to  1977    and 1980    to  1981.

(a) Since    ,  then,   separating  variables,   .  Integrating gives