Test: Properties Of Definite Integrals


5 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Properties Of Definite Integrals


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QUESTION: 1

The value of the integral is:

Solution:

Correct Answer : d

Explanation :  ∫(-1 to 1) e|x| dx

∫(-1 to 0) e|x|dx + ∫(0 to 1) e|x|dx

 e1 -1 + e1 - 1

=> 2(e - 1)

QUESTION: 2

Solution:

 ∫(-a to a)f(x)dx
= ∫(0 to a) [f(x) + f(-x)] if f(x) is an odd function
⇒ f(-x) = -f(x)

QUESTION: 3

The value of   is: 

Solution:
QUESTION: 4

The value of the integral   is:

Solution:
QUESTION: 5

Solution:

∫(0 to 4)(x)1/2 - x2 dx
= [[(x)3/2]/(3/2) - x2](0 to 4)
= [[2x3/2]/3 - x2](0 to 4)
= [[2(0)3/2]/3 - (0)2]] -  [[2(4)3/2]/3 - (4)2]]
= 0-0
= 0

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