## Integrals Quiz-20

Important topics for Maths has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with the day-to-day experiences.

Q1. If ∫3sin⁡x+2cos⁡x /3cos⁡x+2sin⁡x dx=ax+b ln⁡|2 sin⁡x+3 cos⁡x|+C, then
•  a= -12/13,b=15/39
•  a= -7/13,b=6/13
•  a= 12/13,b= -15/39
•  a= -7/13,b= -6/13
Solution

Q2. If

then
•  1<Î±<2
•  Î± < 0
•  0<Î±< 1
•  Î±=0
Solution

Q3.The value of the integral

is equal to
•  Ï€
•  2Ï€
•  4Ï€
•  None of these
Solution

Q4. The value of the integral

is
•

•

•  None of these
Solution

Q5.If

then f''(x)+f(x) is equal to
• -cos⁡x
• -sin⁡x

• 0
Solution

Q6. If

then the value of [f(√3/4) ] is ([.] denotes the greatest integer function)
•  4
•  5
•  6
•  -7
Solution

Q7.

is equal to
•

•

•

•

Solution

Q8. The value of

is
•

•

•

•  None of these
Solution

Q9.If ∫√(1+sin⁡x )f(x)dx=2/3(1+sin⁡x)^(3/2)+c, then f(x) equals
•  cosx
• sinx
• tanx
• 1
Solution

Q10.

is equal to
•

•

•

•

Solution

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Integrals-Quiz 20