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  • Explain solution RD sharma class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 15

Explain solution RD sharma class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 15

Answers (1)

\frac{7}{2}sq.units

Hint:

Use this formula to integrate : \int_{a}^{b}x^{n}dx=\left [ \frac{x^{n+1}}{n+1} \right ]_{a}^{b}

Given:

y=x+1,x-axis,x=2,x=3

Explanation:

Required area

\begin{aligned} &=\int_{2}^{3}(x+1) d x \\ &=\left[\frac{x^{2}}{2}+x\right]_{2}^{3} \\ \end{aligned}

\begin{aligned} &=\frac{9}{2}+3-\frac{4}{2}-2 &&&&&&&&&&& \quad\left[\begin{array}{l} \left.\because \int_{a}^{b} x^{n} d x=\left[\frac{x^{n+1}}{n+1}\right]_{a}^{b}\right] \\ \end{array}\right.\end{aligned}

\begin{aligned} &=\frac{5}{2}+1 \\ &=\frac{7}{2} s q \cdot u n i t s \end{aligned}

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