Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 1>Q 23

HARD

TS EAMCET

IMPORTANT

Earn 100

The area bounded by $y = x e^{|x|}$ and lines $|x| = 1, y = 0$ is

100% studentsanswered this correctly

Important Questions on Application of Integrals

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 1>Q 24

The smaller of the areas bounded by the curves

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

and

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

is

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 1>Q 25

Area bounded by the parabola

x = {(y - 2)}^{2} + 1,

the tangent to it at the point

P (2, 3)

and the

x -

axis is equal to

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 1>Q 26

The area bounded by the curves

y = \cos x

and

y = \sin x

between the ordinates

x = 0

and

x = \frac{3 π}{2}

is

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 1>Q 27

Let

f (x) = x^{2}, g (x) = \cos x

and

α, β (α < β)

, the roots of the equation

18 x^{2} - 9 π x + π^{2} = 0 .

The area bounded by the curve

y = f [g (x)]

, the ordinates

x = α, x = β

and the

x

-axis is

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 2>Q 1

The area between the parabolas

x^{2} = \frac{y}{4}

and

x^{2} = 9 y

and the straight line

y = 2

is

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 2>Q 2

The area of the region bounded by the curve

y = x |x|

,

x -

axis and the ordinates

x = 1, x = - 1

is given by

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 2>Q 3

The area bounded by the curve

y^{2} = 4 a^{2} (x - 1)

and the lines

x = 1

and

y = 4 a

is equal to

HARD

TS EAMCET

IMPORTANT

Comprehensive Guide to TS EAMCET Mathematics. Other applicable Exams - JEE Main, VITEEE, SRM JEE, MHT-CET, K-CET, BITSAT, AMU & Other State Engg. Entrance Exams>Chapter 13 - Application of Integrals>Exercise 2>Q 4

Area bounded by the curve

y = \max \{\sin x, \cos x\}

and

x

-axis, between the lines

x = \frac{π}{4}

and

x = 2 π

is equal to