# Integral Calculus (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 6 - 9 of 20

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## Question number: 6

» Integral Calculus » Evaluation of Simple Integrals

Appeared in Year: 2012

MCQ▾

The value is

### Choices

Choice (4) Response

a.

4024

b.

0

c.

2012

d.

2013

## Question number: 7

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2013

MCQ▾

### Question

For x, t ∈ R let,

be a family of quadratic polynomials in x with variable coefficients. Let

Which of the following statements are true?

(i) for all t.

(ii) has infinitely many critical points.

(iii) for infinitely many t

(iv) for all t.

### Choices

Choice (4) Response

a.

(i) and (ii) only

b.

(iii) and (iv) only

c.

(ii) and (iii) only

d.

(iv) and (i) only

## Question number: 8

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

### Question

For a real number let denote the largest integer less than or equal to . The smallest positive integer for which the integer exceed 60 is –

### Choices

Choice (4) Response

a.

9

b.

10

c.

8

d.

## Question number: 9

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2013

MCQ▾

### Question

A function is defined as,

It is a family of quadratic polynomials in with variable coefficients. And also function,

Which of the following statements are true?

(i)

(ii) has infinitely many critical points.

(iii) (Model Paper)

### Choices

Choice (4) Response

a.

(iii) and (i) only

b.

(i) and (ii) only

c.

(iii) only

d.

(ii) and (iii) only

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