Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 21

MEDIUM

JEE Main

IMPORTANT

Earn 100

Find the area of the smaller part of the circle $x^{2} + y^{2} = a^{2}$ cut off by the line $x = \frac{a}{\sqrt{2}}$ .

Important Questions on Areas Enclosed by Curves (Applications of Integrals)

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 22

Find the area of the triangle formed by the straight lines

y = 2 x, x = 0

and

y = 2

by integration.

EASY

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 23

Find the area between

x

-axis and the curve

y = \sin x

from

x = 0

to

x = π

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 24

Find the area bounded by the curve

y = x e^{x^{2}}

,

x

-axis and the co-ordinates

x = 0

and

x = h

. (where

h > 0

)

EASY

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 25

Draw a rough sketch of the curve

y = \frac{x}{π} + 2 \sin^{2} x

and find the area between the

x

-axis, the curve and the coordinates

x = 0

and

x = π

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 26

Find the area between the curve $y = x \sin x$ and $x$ -axis from $x = 0$ to $x = 2 π$ .

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 26

Find the area bounded by the curve

y = x | x |, x

-axis and ordinates

x = - 1

and

x = 1

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 27

Find the area bounded by the curve

y = 4 x - x^{2}

, the

x

-axis and the ordinates corresponding to

x = 1

and

x = 3

MEDIUM

JEE Main

IMPORTANT

Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 4 - Areas Enclosed by Curves (Applications of Integrals)>EXERCISE>Q 28

Find by integration the area of the region bounded by the curve

y = 2 x - x^{2}

and the

x

-axis