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  • Need solution for RD sharma maths class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 12

Need solution for RD sharma maths class 12 chapter 20 Areas Of Bounded Region exercise Fill in the blanks question 12

Answers (1)

2 sq.units

Hint:

Use indefinite integral formula then put limits to solve this integral.

Given:

y=\cos x, x=0, x=\pi

Explanation:

Required area,

=2\int_{0}^{\frac{\pi}{2}}\cos x \;\;\;dx\\ =\left [ 2 \sin x \right ]_{0}^{\frac{\pi}{2}}\\ =2\left [ \sin \frac{\pi}{2}-\sin 0 \right ]\\ =2 sq.units\;\;\;\;\;\;\;\;\;\;\;\;\;\left [ \because \int \cos x \;\; dx=\sin x+c \right ]

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