The area of the regions bounded by the curve y = x2, the X-axis and the lines x = 1 and x = 3 is:

Question

The area of the regions bounded by the curve $y = x^{2}$ , the $X$ -axis and the lines $x = 1$ and $x = 3$ is:

Smart Achievers · Accepted Answer

(1)

Ans. $\frac{26}{3}$ sq. units

Explanation:

$Let A be the required area.$

$A = \int_{1}^{3} y d x$

$= \int_{1}^{3} x^{2} d x$

$= \frac{1}{3} {[x^{3}]}_{1}^{3}$

$= \frac{1}{3} (27 - 1)$

$A = \frac{26}{3} sq. units.$

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