Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 38

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

The area enclosed by the parabola $y^{2} = 64 x$ and its latus rectum is $λ$ sq. units then the value of $3 λ$ is

100% studentsanswered this correctly

Important Questions on Application of Integrals

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 40

The area bounded by the curve

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

, the axis of abscissas and two ordinates corresponding to the points of minimum of function

y (x)

is

A

then

30 A

is equal to

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 41

The curve

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

, cuts the

y

-axis into two points

P

and

Q .

Then the area enclosed by

y

-axis and the portion of the curve lies between

P

and

Q

is

A

sq. units then

6 A

is

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 42

If the area bounded by the region

y = | x - 1 |

and

y = 1

is

k

sq. units, then the value of

k

is

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 29 - Application of Integrals>Assignment Set - 2>Q 43

If the area between the curves

y = x e^{x}

and

y = x e^{- x}

and line

x = 1

is

A

square units then

7 e A

is equal to

MEDIUM

JEE Main/Advance

IMPORTANT

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

The area bounded by the curve $|\frac{x}{9}| + |\frac{y}{9}| = \log_{b} a \times \log_{a} b,$ where $a, b > 0$ and $a \neq b \neq 1$ is

MEDIUM

JEE Main/Advance

IMPORTANT

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

The area enclosed by the curve,

{(y - \tan^{- 1} x)}^{2} = x - x^{2}

is

MEDIUM

JEE Main/Advance

IMPORTANT

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

Let

f (x) = \max \{\sin x, \cos x, \frac{1}{2}\},

then area of the region bounded by the curves

y = f (x), x

-axis,

y

-axis and

x = 2 π .

MEDIUM

JEE Main/Advance

IMPORTANT

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

The area of the region (s) enclosed by the curves

y = x^{2}

and

y = \sqrt{| x |}

in (sq. units) is