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 Equation let Equation denote the largest integer less than or equal to Equation and Equation . The smallest possible integer value of Equation for which Equation 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 Equation by Equation , where Equation is fixed natural number. Then

Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 16

» Integral Calculus » Fundamental Integrals Involving Functions

Appeared in Year: 2015

MCQ▾

Question

Let Equation be a continuous function satisfying,

Equation

For all Equation . Then –

Choices

Choice (4) Response

a.

Equation

b.

Equation is an odd function

c.

Equation

d.

Equation has more than 1 point in common with the Equation axis

Question number: 17

» Integral Calculus » Properties of Definite Integrals

Appeared in Year: 2015

MCQ▾

Question

If Equation is a cubic polynomial with Equation , Equation and Equation , then

Equation

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 Equation equals –

Choices

Choice (4) Response

a.

Equation

b.

2

c.

Equation

d.

Equation

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