Class XII Maths Integrals 5

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Question 1

If then the value of  is

• A
• B
• C
• D

Question 2

where x and [.] denotes the greatest integer function is equal to

• A-nπ
• B-(n +1)π
• C-2nπ
• D-2(n +1)π

Question 3

is equal to:

• A
• B
• C
• D

Question 4

is

• A1/30
• B0
• C1/4
• D1/5

Question 5

equals

• A
• B
• Ctan1
• D

Question 6

The value of a > 1, where [x] denotes the greatest integer not exceeding x is

• A[a] f([a]) – {f(1) + f(2) + …. + f(a)}
• Baf([a]) – {f(1) + f(2) + … + f(a)}
• Caf(a) – {f(1) + f(2) + … + f([a])}
• D[a] f(a) – {f(1) + f(2) + …. + f([a])}

Question 7

If f(x) =, I₁ = and I₂ = then the value of is

• A2
• B–3
• C–1
• D1

Question 8

The value of I = is

• A0
• B1
• C2
• D3

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