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

Question

The area of the region bounded by the curve $y = x + 1$ and the lines $x = 2, x = 3$ is:

Smart Achievers · Accepted Answer

(1)

Ans. $\frac{7}{2}$ sq. units

Explanation :

Required area, $A = \int_{2}^{3} (x + 1) d x = {[\frac{x^{2}}{2} + x]}_{2}^{3}$

$= [\frac{9}{2} + 3 - \frac{4}{2} - 2]$

$= [\frac{5}{2} + 1] = \frac{7}{2} sq. units.$

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