# Integral Calculus (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 14 - 18 of 20

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## 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

## Question number: 17

» Integral Calculus » Properties of Definite Integrals

Appeared in Year: 2015

MCQ▾

### Question

If is a cubic polynomial with , and , then

### Choices

Choice (4) Response

a.

3

b.

2

c.

5

d.

4

## Question number: 18

» Integral Calculus » Fundamental Integrals Involving Functions

Appeared in Year: 2016

MCQ▾

### Question

The limit equals –

### Choices

Choice (4) Response

a.

b.

2

c.

d.

f Page