Let be the region enclosed by the parabola

MATHEMATICS · Multi-part · A Level · Mathematics · Integration · Integration

Problem

Let

R

be the region enclosed by the parabola

y = x^{2}

, the straight line

y = 6 - x

, and the x-axis. (i) Find the

x

-coordinates of the points where the parabola and the line intersect. (ii) Hence, determine the area of the region

R