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  • please solve RD sharma class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 4 maths textbook solution

please solve RD sharma class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 4 maths textbook solution

Answers (1)

4 sq.units

Hint:

Use indefinite integral formula then put limits to solve this integral

Given:

y=\sin x, x-axis\\ x=0, x=2\pi

Explanation:

Required area=2\int_{0}^{\pi} \sin x\;\; dx

=\left [ -2 \cos x \right ]_{0}^{\pi}\\ =-2\left [ \cos \pi-\cos 0 \right ]\\ =-2\left [ -1-1 \right ]\\ =4 sq. units\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; \begin{bmatrix} \because \int_{a}^{b} \sin x\;\;dx=[-cos x ]_{a}^{b}\\ \because \cos \pi=-1 \\ \because \cos 0= 1 \end{bmatrix}

 

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