Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 2

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

Find the area bounded by the curve $y^{2} = 4 a x$ and its latus rectum.

Important Questions on Application of Integrals

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 3

Find the area bounded by the curve

y = x^{3}

, the

x -

axis and the ordinates

x = - 2

and

x = 1

.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 4

Find the area bounded by the curve

y = \log_{e} x

, the

x -

axis and the straight line

x = e

.

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 5

Find the area bounded by the circle

x^{2} + y^{2} = 16

and the line

y = x

in the first quadrant.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 6

Find the area bounded by the curve

y = \frac{2}{x^{2} + 1}

and the line

y = 1 .

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 7

AOB

is the positive quadrant of the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

where

OA = a, OB = b

. Then find the area between the arc

AB

and the chord

AB

of the ellipse.

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 8

Find the area between the curve

y = 4 + 3 x - x^{2}

and the

x -

axis.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 9

Find area bounded by curve

y = x^{2}

and

y = x^{3}

.

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 1>Q 10

Find the area enclosed between the parabola

y^{2} = 4 a x

and the line

y = m x

.