# Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 17 - 20 of 20

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## 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.

## Question number: 19

» Integral Calculus » Determining Areas of Regions Bounded by Simple Curves

Appeared in Year: 2016

MCQ▾

### Question

The area of the region bounded by the curve and the axis, , is –

### Choices

Choice (4) Response

a.

b.

0

c.

d.

## Question number: 20

» Integral Calculus » Determining Areas of Regions Bounded by Simple Curves

Appeared in Year: 2016

MCQ▾

### Question

On the real line , we define two functions and as follows:

Where denotes the largest integer not exceeding . The positive integer for which

is –

### Choices

Choice (4) Response

a.

202

b.

100

c.

200

d.

198

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