(B) To find the area of the region bounded by the curve $y=x$ and the lines $x=1$ and $x=10$,we use the definite integral:Area $= \int_{a}^{b} y \, dx

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(B) To find the area of the region bounded by the curve $y=x$ and the lines $x=1$ and $x=10$,we use the definite integral:Area $= \int_{a}^{b} y \, dx$Here,$a = 1$,$b = 10$,and $y = x$.Area $= \int_{1}^{10} x \, dx$$= \left[ \frac{x^2}{2} \right]_{1}^{10}$$= \frac{10^2}{2} - \frac{1^2}{2}$$= \frac{100}{2} - \frac{1}{2}$$= \frac{99}{2} \text{ sq. units.}$

Class 12 Mathematics Application of Integration Area bounded by region of single curve

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The area of the region bounded by the curve $y=x$,the lines $x=1$ and $x=10$ using integration is . . . . . . sq. units.

GSEB 2015 All GSEB

A
$99$
B
$\frac{99}{2}$
C
$50$
D
$100$

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Area bounded by region of single curve

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The area of the region bounded by the curve $y=x$,the lines $x=1$ and $x=10$ using integration is . . . . . . sq. units.

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