Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 12 - 16 of 20

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Question number: 12

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2014

MCQ▾

Question

Let, Where, is a non-negative integer. Then,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 13

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2013

MCQ▾

Question

Let be a positive integer. For a real number , let denoted the largest integer not exceeding and . Then,

is equal to – (Model Paper)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 14

» Integral Calculus » Fundamental Theorem of Calculus

Appeared in Year: 2013

MCQ▾

Question

For a real number let denote the largest integer less than or equal to and . The smallest possible integer value of for which exceeds 2013 is – (Model Paper)

Choices

Choice (4) Response

a.

90

b.

64

c.

63

d.

91

Question number: 15

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2015

MCQ▾

Question

Define a function by , where is fixed natural number. Then

is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 16

» Integral Calculus » Fundamental Integrals Involving Functions

Appeared in Year: 2015

MCQ▾

Question

Let be a continuous function satisfying,

For all . Then –

Choices

Choice (4) Response

a.

b.

is an odd function

c.

d.

has more than 1 point in common with the axis

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