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  • Explain solution RD Sharma class 12 chapter Areas of Bounded Region exercise 20.1 question 4 maths

Explain solution RD Sharma class 12 chapter Areas of Bounded Region exercise 20.1 question 4 maths

Answers (1)

Answer:

\frac{32}{3}sq\cdot units

Hint:

Solve area of  integration.

Given:

Find area lying above the  x-axis and under parabola y=4x-x^{2}

Solution:

  

    \begin{aligned} &A=\int_{0}^{4}|y| d x\\\\ &A=\int_{0}^{4} y d x \end{aligned}                    \text { [As } y>0 \text { for } 0,0 \leq x \leq 4|y|=4]

\begin{aligned} &A=\int_{0}^{4}\left(4 x-x^{2}\right) d x \\\\ &A=\left[\frac{4 x^{2}}{2}-\frac{x^{3}}{3}\right]_{0}^{4} \\\\ &A=32-\frac{64}{3} \\ &A=\frac{32}{3} s q \cdot u n i t \end{aligned}

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