BITSAT Mathematics Integrals MCQs

Question: If  dx is equal to :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If  then

• a)

  

• b) g(x) = log x
• c) L = 1
• d) None of these

Answer: None of these

Question:

equals

• a) 0
• b) ∞
• c) 2
• d)

  

Answer:

Question: Let f(x) be a polynomial of degree three satisfying f(0) = – 1 and f(1) = 0. Also, 0 is a stationary point of f(x). If f(x) does not have an extremum at x = 0, then the value of is

• a)

  

• b) x + C
• c)

  

• d) None of these

Answer: x + C

Question: Evaluate 

• a)

  

• b) tan^-1 (2 tan x) + C
• c)

  

• d) None of these

Answer:

Question: 

is equal to

• a) 10
• b) 5
• c) 2
• d) 

  

Answer: 5

Question:

is equal to

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: Evaluate 

• a) π/2
• b) π/4
• c) π/3
• d) π

Answer: π/4

Question:

• a) cos^–1 x + c
• b) sec^–1 x + c
• c) cot^–1 x + c
• d) tan^–1 x + c

Answer: sec^–1 x + c

Question: Evaluate 

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

equals

• a) 2
• b) π
• c) π/4
• d) π/2

Answer: π/4

Question: Evaluate 

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: Find the value of 

• a) 8
• b) 6
• c) 4
• d) 2

Answer: 8

Question: Let  And then

• a)  I₁ > I₂
• b) I₂ > I¹
• c) I₁= I₂
• d) None of these

Answer: I₂ > I¹

Question:

 dx

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If , where m € N, then I₁₀ + 10 I₉ is equal to -

• a) e¹⁰
• b)

  

• c) e
• d) e – 1

Answer: e

Question:

If = Aln | cos x + sin x - 2 | +Bx +C. Then the ordered triplet A, B, λ is –

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Evaluate:∫ x tan^-1 x dx

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: Evaluate : 

• a) π/4
• b)  π
• c) π/2
• d) π/3

Answer: π/4

Question: If = 66, then n =

• a) 24
• b) 9
• c) 12
• d) 7

Answer: 12

Question:

• a)

  

• b)

  

• c) log(1+cos x) + c
• d)

  

Answer:

Question:

 equals

• a) log 2 – 1
• b) log 2
• c) log 4 – 1
• d) – log 2

Answer: log 2

Question: If

  and  then

• a) I₂ > I₁ 
• b) I₁ > I₂
• c) I₃ = I₄
• d) I₃ > I₄

Answer: I₁ > I₂

Question:

• a) x + cos x + C
• b) 1 + sin x + C
• c) sec x – tan x + C
• d) sec x + tan x + C

Answer: sec x + tan x + C

Question:

is equal to

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The value of integral

 is

• a) π/4
• b) π/2
• c) π
• d) None of these

Answer: π/4

Question: If f (x) =, then  is equal to

• a)

  

• b)

  

• c)

  

• d) 1

Answer:

Question: The value of  is –

• a) tan x – cot x + C
• b) tan x + cot x + C
• c) – tan x – cot x + C
• d) None of these

Answer: tan x – cot x + C

Question: Evaluate 

• a) 1
• b) 0
• c) 1/2
• d) 2

Answer: 1/2