Question 330-335 of 346: Integration and Its Applications (Section A: Common) | CUET (Common University Entrance Test) UG Mathematics Common (319) | Includes PYQs | Get Solutions with Detailed Explanations

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Question 330

Section A: CommonIntegration and Its ApplicationsEvaluation of Indefinite Integrals

MCQ

Read the question, then carefully choose the correct answer(s).

Appeared in Year: 2019

The value of ∫ − π 2 π 2 d x [ x ] + [ sin x ] + 4 , where [t] denotes the greatest integer less than or equal to t, is: (January Shift 2)

Choices

Choice (4)Response

a.

1 12 ( 7 π − 5 )

b.

1 12 ( 7 π + 5 )

c.

3 10 ( 4 π − 3 )

d.

3 20 ( 4 π − 3 )

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Question 331

Section A: CommonIntegration and Its ApplicationsApplication of Integration

MCQ

Read the question, then carefully choose the correct answer(s).

Appeared in Year: 2019

The area (in sq. units) of the region bounded by the curve x2 = 4 y and the straight line x = 4 y − 2 is: (January Shift 1)

Choices

Choice (4)Response

a.

9 8

b.

3 4

c.

5 4

d.

7 8

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Question 332

Section A: CommonIntegration and Its ApplicationsEvaluation of Indefinite Integrals

MCQ

Read the question, then carefully choose the correct answer(s).

Appeared in Year: 2019

The value of the integral ∫ − 2 2 s i n 2 x [ x π ] + 1 2 d x (where [x] denotes the greatest integer less than or equal to x) is: (January Shift 1)

Choices

Choice (4)Response

a.

4

b.

sin 4

c.

4 - sin 4

d.

0

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Question 333

Section A: CommonIntegration and Its ApplicationsEvaluation of Indefinite Integrals

MCQ

Read the question, then carefully choose the correct answer(s).

Appeared in Year: 2019

If ∫ 1 − x 2 x 4 d x = A ( x ) ( 1 − x 2 ) m + C , for a suitable chosen integer m and a function A (x), where C is a constant of integration, then (A (x) )m equals: (January Shift 1)

Choices

Choice (4)Response

a.

− 1 3 x 3

b.

− 1 27 x 9

c.

1 27 x 6

d.

1 9 x 4

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Question 334

Section A: CommonIntegration and Its ApplicationsEvaluation of Indefinite Integrals

MCQ

Read the question, then carefully choose the correct answer(s).

Appeared in Year: 2019

If ∫ x + 1 2 x − 1 d x = f ( x ) 2 x − 1 + C , where C is a constant of integration, then f (x) is equal to: (January Shift 2)

Choices

Choice (4)Response

a.

1 3 ( x + 4 )

b.

2 3 ( x − 4 )

c.

1 3 ( x + 1 )

d.

2 3 ( x + 2 )

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Question 335

Section A: CommonIntegration and Its ApplicationsEvaluation of Indefinite Integrals

MCQ

Read the question, then carefully choose the correct answer(s).

Appeared in Year: 2019

The area (in sq. units) in the first quadrant bounded by the parabola, y = x2 + 1, the tangent to it at the point (2,5) and the coordinate axes is: (January Shift 2)

Choices

Choice (4)Response

a.

8 3

b.

14 3

c.

187 24

d.

37 24

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