Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 81

HARD

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IMPORTANT

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Area enclosed by the curve $y = f (x)$ defined parametrically as $x = \frac{1 - t^{2}}{1 + t^{2}}, y = \frac{2 t}{1 + t^{2}}$ is equal to

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Important Questions on Application of Definite Integrals

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 82

The area bounded by the curves

y = x e^{x}, y = x e^{- x}

and the line

x = 1

(in sq. units) is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 83

The area of the region enclosed by the curves

y = x \log x

and

y = 2 x - 2 x^{2}

is

HARD

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 84

The area

(in sq . units)

in the first quadrant between

x^{2} + y^{2} = π^{2}

and

y = \sin x

is

HARD

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 85

The area enclosed by the curves

y = \sqrt{x}

and

x = - \sqrt{y},

the circle

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

above the

X

-axis, is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 86

If

y = 2 \sin x + \sin 2 x

for

0 \leq x < 2 π,

then the area enclosed by the curve and the

X

-axis is

HARD

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IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 87

Area bounded by the curve

x y^{2} = a^{2} (a - x)

and the

Y

-axis, is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 88

The area between the curve

y = 2 x^{4} - x^{2}, X

-axis and ordinates of the two minima of the curve, is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 20 - Application of Definite Integrals>Exercise 1>Q 89

The area bounded by the curve

4 y^{2} = x^{2} (4 - x^{2})

is