Integral Calculus (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 10 - 13 of 20

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Question number: 10

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

Question

For a real number Equation let Equation denote the largest integer less than or equal to Equation and Equation . Let Equation be a positive integer. Then Equation is equal to –

Choices

Choice (4) Response

a.

0

b.

Equation

c.

1

d.

Equation

Question number: 11

» Integral Calculus » Fundamental Integrals Involving Functions

Appeared in Year: 2014

MCQ▾

Question

A continuous function Equation satisfies the equation,

Equation

Which of the following options is true?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 12

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2014

MCQ▾

Question

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

Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 13

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2013

MCQ▾

Question

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

Equation is equal to – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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