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  • Need solution for RD Sharma Maths Class 12 Chapter 20 Areas of Bounded Regions exercise 20.3 question 28.

Need solution for RD Sharma Maths Class 12 Chapter 20 Areas of Bounded Regions exercise 20.3 question 28.

Answers (1)

Answer:

\frac{9}{2} \: \: \text{unit}^2

Hint:

Use concept.

Given:

The given equations are y=-x^2 and x+y+2=0 .

Solution:

 

\begin{aligned} &\text { Area of the bounded region }\\ &=\int_{-1}^{2}-x^{2}-(-2-x) d x\\ &=\left[-\frac{x^{2}}{3}+2 x+\frac{x^{2}}{2}\right]_{-1}^{2}\\ &=\left[-\frac{8}{3}+6\right]-\left[\frac{1}{3}+\frac{1}{2}-2\right]\\ &=\frac{9}{2} \text { unit }^{2} \end{aligned}

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