Integrals Quiz-17

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Q1. The value of the integral

is
•  0
•  1
•  2
•  None of these
Solution

Q2. Let x=f''(t) cos⁡ t+f'(t) sin⁡ t and y=-f''(t) sin⁡ t+f' (t)cos⁡t. Then

equals
•  f'(t)+f''(t)+c
•  f''(t)+f'''(t)+c
•  f(t)+f''(t)+c
•  f'(t)-f''(t)+c
Solution

Q3.

is equal to
•

•

•

•

Solution

Q4. If

then f'(1/2) is equal to
•  0
•  1/2
• 1
•  None of these
Solution

Q5.If

then I equals

•

Solution

Q6. If

then g(x+Ï€n/2) is equal to, where n∈N
•  g(x)+g(Ï€)
•  g(x)+g(nÏ€/2)
•  g(x)+g(Ï€/2)
•  None of these
Solution

Q7.

where x∈R^+. Then the complete set of values of x for which f(x)≤ In x is
•  (0,1]
•  [1,∞)
•  (0,∞)
•  None of these
Solution

Q8. The value of

where a>0, is
•  Ï€
•  aÏ€
•  Ï€/2
•  2Ï€
Solution

Q9.

is equal to
•  Ï€
• Ï€^2
• 0
• None of these
Solution

Q10.

where x∈(2nÏ€,(2n+1)Ï€), where n∈N, is equal to
•  4n- cos⁡x
•  4n- sin⁡x
•  4n+1- cos⁡x
•  4n-1- cos⁡x
Solution

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Integrals-Quiz 17