The area bounded by the curve y = x, X-axis and ordinates x = -1 to x = 2 is:

Question

The area bounded by the curve $y = x$ , $X$ -axis and ordinates $x = - 1$ to $x = 2$ is:

Smart Achievers · Accepted Answer

(4)

Ans. $\frac{5}{2}$ sq. units

Explanation :

Bounded area, $=$ $x = 2$ $+$ $| \int_{0}^{2} x d x |$

$=$ $| - \frac{1}{2} |$ $+$ $| 2 |$ $= \frac{1}{2} + 2 = \frac{5}{2} sq. units.$

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