Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 67

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IMPORTANT

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The area bounded by the curves $y = \ln x, y = \ln |x|, y = |\ln x|$ and $y = |\ln |x||$ is

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Important Questions on Area Enclosed by Curves

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JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 68

The area (in sq. units) bounded by the curve

y = \sec x,

the

x -

axis and the lines

x = 0

and

x = π / 4

is

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IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 69

The area of the region bounded by the curves

y = |x - 1|

and

y = 3 - |x|

is

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JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 70

The area bounded by the curves

$y = \ln x, y = \ln |x|, y = |\ln x|$ and $y = |\ln |x||$ .

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JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 71

The area of the region bounded by the curves

y = |x - 1|

and

y = 3 - |x|

is

EASY

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 72

The area of the region bounded by the curves

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

and the

x - axis

is

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IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 73

The area enclosed between the curve

y = \log_{e} (x + e)

and the coordinate-axes is

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IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 74

The parabolas

x^{2} = 4 y

and

y^{2} = 4 x

divide the square region bounded by the lines

x = 4,

y = 4

and the coordinates axes. If

S_{1}, S_{2}, S_{3}

are respectively the areas of these parts numbered from top to bottom; then

S_{1} : S_{2} : S_{3}

is

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IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 9 - Area Enclosed by Curves>EXERCISE>Q 75

Let

f (x)

be a non-negative continuous function such that area bounded by the curve

y = f (x), x -

axis and the ordinates

x = \frac{π}{4}

and

x = β > \frac{π}{4}

is

β \sin β + \frac{π}{4} cosβ + \sqrt{2} β .

Then

f (\frac{π}{2})

is