Integral Calculus-Evaluation of Definite Integrals (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 3 of 3

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Question number: 1

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2010

MCQ▾

Question

Let In=01(logx)ndx , where n is non-negative integer. Then I2011+2011I2010 is equal to –

Choices

Choice (4) Response

a.

I100+100I99

b.

I1000+999I998

c.

I890+890I889

d.

I53+54I52

Question number: 2

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2014

MCQ▾

Question

Let, In=0π2xncosxdx Where, n is a non-negative integer. Then,

n=2(Inn!+In2(n2)!)=_.

Choices

Choice (4) Response

a.

eπ21π2

b.

eπ2

c.

eπ21

d.

eπ2π2

Question number: 3

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2015

MCQ▾

Question

Define a function f:RR by f(x)=max{ x , x1 ,, x2n } , where n is fixed natural number. Then

02nf(x)dx is –

Choices

Choice (4) Response

a.

n2

b.

3n2

c.

n

d.

3n

f Page
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