Question

Find the area bounded by the curve y = x^2 and the straight line y = 2 + x

A. 4 1/6
B. 4 1/2
C. 5 1/6
D. 5 1/2

Answer 1

Hello,


`\int\limits^2_(-1) {(x+2-x^2)} \, dx = \left[\begin{array}{c} (x^2)/(2)+2x- (x^3)/(3)\end{array}\right] ^2 _(-1)\\ = (4)/(2) +4 - (8)/(3) -( (1)/(2) -2+ (1)/(3) )\\ = (9)/(2) =4+ (1)/(2)`

Answer B