NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 22

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12th CBSE

IMPORTANT

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If the area bounded by the curve $y = 2 \cos x$ and the $x$ -axis from $x = 0$ to $x = 2 π$ is $k$ sq. units, then the value of $k$ is

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Important Questions on Application of Integrals

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12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 23

Draw a rough sketch of the given curve

y = 1 + | x + 1 |, x = - 3, x = 3

and

y = 0

find the area of the region bounded by them, using integration.

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12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 24

The area of the region bounded by the

x

-axis,

y = \cos x

and

y = \sin x, 0 \leq x \leq \frac{π}{2}

is

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12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 25

The area of the region bounded by the curve

x^{2} = 4 y

and the straight line

x = 4 y - 2

is

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NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 26

The area of the region (in

sq . units

) bounded by the curve

y = \sqrt{16 - x^{2}}

and

x

-axis is

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NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 27

Area of the region (in sq. units) in the first quadrant enclosed by the

x

-axis, the line

y = x

and the circle

x^{2} + y^{2} = 32

is

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 28

Area of the region bounded by the curve

y = \cos x

between

x = 0

and

x = π

is

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12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 29

The area of the region bounded by parabola

y^{2} = x

and the straight line

2 y = x

is

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 8 - Application of Integrals>EXERCISE>Q 30

The area of the region bounded by the curve

y = \sin x

between the ordinates

x = 0, x = \frac{π}{2}

and

x

-axis is