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  • Provide solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 26

Provide solution for RD Sharma maths class 12 chapter 20 Areas of Bounded Regions exercise multiple choice question 26

Answers (1)

Answer:

 (d)

Hint:

 Integration

Given:

 y=x^{3},\: x-axis,\: x=-2,\: x=1

Explanation:

Area OAB

\begin{aligned} &=\int_{0}^{1}x^{3}dx\\ &=\left [ \frac{x^{4}}{4} \right ]_{0}^{1}\\ &=\frac{1}{4} \end{aligned}

Area OCD

\begin{aligned} &=\int_{-2}^{0}x^{3}dx\\ &=\left [ \frac{x}{4} \right ]_{-2}^{0}\\ &=-4 \end{aligned}

As area is always positive

=4

Total area

\begin{aligned} &=4+\frac{1}{4}\\ &=\frac{17}{4} \end{aligned}

Posted by

Gurleen Kaur

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