The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is ______.

Question

KollegeApply · Accepted Answer

The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is $\frac{7}{2}$ sq.units. Explanation: Given equation of lines are = x + 1, x = 2 and x = 3 Required area = int_2^3 (x + 1) "d"x = [x^$\frac{2}{2}$ + x]_2^3 = ($\frac{9}{2}$ + 3) - ($\frac{4}{2}$ + 2) = $\frac{15}{2}$ - 4 = $\frac{7}{2}$ sq.units [Solution diagram: 251758_solution_1.png]

AChoose Your Answer