## Integrals Quiz-15

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 the function f:[0,8]→R is differentiable, then for 0< a,b< 2,

is equal to
•

•

•

•

Solution

Q2. If

equals
•  9e-24
•  12-2e
•  24-9e
•  6e-12
Solution

Q3.

is equal to
•

•

•

•

Solution

Q4.

is equal to
•

•

•

•

Solution

Q5.If

then for any x≥0,f(x) equals
• 1/2(1-x^2)
• 1/2 (x^2)
• 1/2(1+x^2)
• None of these
Solution

Q6. If

then
•  a= -1/10,b= -2/5
•  a= 1/10,b= -2/5
•  a= -1/10,b=2/5
•  a= 1/10,b=2/5
Solution

Q7. If

•  -1
•  -2
•  2
•  1
Solution

Q8. The value of the integral

is
•  3/2
•  5/2
•  3
•  5
Solution

Q9.The value of the integral

for m not equal to n (m,n∈1) is
•  0
• Ï€
• Ï€/2
• 2Ï€
Solution

Q10. Given

then the value of the definite integral

is equal to
•  1/2 (log⁡2)
•  Ï€/2-log⁡2
•  Ï€/4-1/2(log⁡2)
•  Ï€/2+log⁡2
Solution

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