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  • Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise 5 multiple choice question 15

Need solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise 5 multiple choice question 15

Answers (1)

Answer:

 (c)

Hint:

 Integration

Given:

 y=2x^{2},\: \: y=x^{2}+4

Explanation:

\begin{aligned} &2x^{2}=x^{2}+4\\ &x^{2}=4\\ &x=\pm 2\\ &\text { Area }=\int_{-2}^{2}(2x^{2}+4-2x^{2})dx\\ &=\int_{-2}^{2}(-x^{2}+4)dx \end{aligned}

\begin{aligned} &=\left [ \frac{-x^{3}}{3}+4x \right ]_{-2}^{2}\\ &=\frac{-8}{3}+8-\frac{8}{3}+8\\ &=16-\frac{16}{3} \\ &=\frac{48-16}{3}\\ &=\frac{32}{3}\text { sq.units } \end{aligned}

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Gurleen Kaur

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