Property 1 :
Integration is independent of change of variables provided the limits of integration remain the same.
Property 2 :
If the limits of definite integral are interchanged, then the value of integral changes its sign only.
Property 3 :
Property 4 :
Property 5 :
If f(x) is integrable on a closed interval containing the three numbers a, b and c, then regardless of the order of a, b and c.
Property 6 :
Property 7 :
Property 8 :
To check if the function is odd or even, in the given function f(x) apply x = -x
Evaluate the following problems using properties of integration.
Question 1 :
The given function is odd.
Question 2 :
The given function is odd.
Question 3 :
Question 4 :
The function f(x) is even.
Question 5 :
The function f(x) is even.
= 1 - (1/2) [-1/3+1]
= 1-(1/2)[2/3]
= 1-(1/3)
= 2/3
Question 6 :
The function f(x) is odd.
Question 7 :
2I = 0
I = 0
So, the answer is 0.
Question 8 :
Question 9 :
Question 10 :
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