i) Determine the (x, y) coordinates of the points of intersection for the curves described by the following equations.

${y}_{1}={x}^{2}-4x+3\phantom{\rule{0ex}{0ex}}{y}_{2}={x}^{2}+2x+3$

ii) Set up a definite integral to give the area of the region bounded by the two curves

iii) Evaluate the definite integral to give the area

Proble 2

Same as i, ii, iii in problem 1 above for following equations:

${y}_{1}={x}^{2}\phantom{\rule{0ex}{0ex}}{y}_{2}={x}^{3}$

Problem 3

Same as i, ii, iii in problem 1 above for following equations:

$x=4-{y}^{2}\phantom{\rule{0ex}{0ex}}x=y-2$

Problem 4

Same as i, ii, iii in problem 3 above for the following equations:

$y={x}^{2}\phantom{\rule{0ex}{0ex}}y=6-x$