JEE Mathematics Indefinite Integral MCQs Set A

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) x + c
• b) sin x + c
• c) cos x + c
• d) x2 +c

Answer: x + c

Question:

• a) log sec x (sec x + tan x) + c
• b) log(sec x + tan x)^{1/ 2} + c
• c) log (sec x + tan x) + c
• d) None of these

Answer: log sec x (sec x + tan x) + c

Question:

• a)

  

• b) e³ log x + c
• c) e.3^–3x + c
• d) None of these

Answer: 

Question:

• a)

  

• b)

  

• c) 1,1
• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a) log(10^x + x¹⁰) + c
• b)

  

• c)

  

• d) None of these

Answer: log(10^x + x¹⁰) + c

Question:

• a)

  

• b) None of these
• c)

  

• d)

  

Answer:

Question:

• a) cosh^-1(sin x + cos x) + c
• b) sinh^-1(sin x + cos x) + c
• c) –sinh^–1 (sinx + cos x) + c
• d) None of these

Answer: cosh^-1(sin x + cos x) +  c

Question:

• a) x^x + C
• b) x^x log x + C
• c) x^2x + C
• d) None of these

Answer: x^x + C

More Questions..............................

Question:

• a) tan^–1 e^x + c
• b) log (e^x + 1) + c
• c) log (e^x + e^–x) + c
• d) sin^–1 e^x + c

Answer: tan^–1 e^x + c

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) tan (log x) + c
• b) log (tan x) + c
• c) tan x + c
• d) none of these

Answer: tan (log x) + c

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) none of these

Answer:

Question:

• a) tan x + cot x + c
• b) tan x + sec x + c
• c) cosec x + sce x + c
• d) tan x + cosec x + c

Answer: tan x + cot x + c

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 2 tan^-1√x
• b) log_e (1+ x)
• c) 2 tan^–1 x
• d) None of these

Answer:  2 tan^-1√x

Question:

• a)

  

• b)

  

• c)

  

• d) log (1 + cos 2x) + c

Answer:

Question:

• a)

  

• b) sin^–1 x² + c
• c) sin^–1 x + c
• d)

  

Answer:

Question:

• a) 1 and 2 are correct
• b) 1 and 3 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 2 are correct

Question:

• a) 1 and 3 are correct
• b) 1 and 2 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 3 are correct

Question:

• a) 1 and 2 are correct
• b) 1 and 3 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 2 are correct

Question:

• a) Statement -1 is False, Statement-2 is True.
• b) Statement -1 is True, Statement-2 is False.
• c) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• d) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Answer: Statement -1 is False, Statement-2 is True.

Question:

• a) Statement -1 is True, Statement-2 is False
• b) Statement -1 is False, Statement-2 is True.
• c) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• d) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Answer: Statement -1 is True, Statement-2 is False

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a) e^x tan x + c
• b) e^x sin x + c
• c) e^x cos x + c
• d) e^x sec x + c

Answer: e^x tan x + c

Question:

• a)

  

• b)

  

• c) e^x (sin x + cos x) + c
• d) e^x (sin x – cos x) + c

Answer: 

Question:

• a) x tan x + log cos x + c
• b) tan x + log cos x + c
• c) x tan x + log sec x + c
• d) None of these

Answer: x tan x + log cos x + c

Question:

• a)

  

• b)

  

• c)

  

• d) e^x tanx + C

Answer:

Question:

• a) e^x sec x + c
• b) e^–x tan x + c
• c) e^–x sec x + c
• d) e^x tan x + c

Answer: e^x sec x + c

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) x(log x)² + c
• b) x(1+ log x)² + c
• c) x[1+ (log x)² ]+ c
• d) None of these

Answer: x(log x)² + c

Question:

• a) e^x tan x + c
• b) –e^x tan x + c
• c) –e^x cot x + c
• d) e^x cot x + c

Answer:  e^x tan x + c

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a) x⁴ {8(log x)² - 4(log x) +1}+ c
• b) x³ {(log x)² + 2log x}+ c
• c) x⁴ {8(log x)² - 4log x}+ c
• d) x⁴ {8(log x)² - 4log x}+ c

Answer:  x⁴ {8(log x)² - 4(log x) +1}+ c

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer: