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  • Provide solution for RD sharma maths class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 8

Provide solution for RD sharma maths class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 8

Answers (1)

\frac{64}{3}sq. units

Hint:

Use indefinite integral formula then put limits to solve this integral

Given:

y^{2}=x,y=4,y-axis(x=0)
Explanation:

x=0\\ \Rightarrow y^{2}=x\Rightarrow y=0

Required area

\begin{aligned} &=\int_{0}^{4} y^{2} d y \\ &=\left[\frac{y^{3}}{3}\right]_{0}^{4}\;\;\;\;\;\;\;\;\;\;\;\;\; \quad\left[\because \int_{a}^{b} x^{n} d x=\left[\frac{x^{n+1}}{n+1}\right]_{a}^{b}\right] \\ &=\frac{(4)^{3}-(0)^{3}}{3}\\ \end{aligned}

=\frac{64}{3} sq.units

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