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Byju's Answer
Standard XII
Mathematics
Transpose of a Matrix
Identify the ...
Question
Identify the correct representation of integral of odd function on a symmetric interval.
∫
a
−
a
f
(
x
)
d
x
A
−
1
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B
1
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C
0
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D
None of these
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Solution
The correct option is
C
0
Given :
∫
9
−
9
f
(
x
)
d
x
Since,
f
(
x
)
is odd function
f
(
x
)
=
−
f
(
−
x
)
Then,
∫
0
−
9
f
(
x
)
d
x
=
−
∫
9
0
f
(
x
)
d
x
∫
9
−
9
f
(
x
)
d
x
=
∫
9
0
f
(
x
)
d
x
+
∫
0
−
9
f
(
x
)
d
x
=
−
∫
0
−
9
f
(
x
)
d
x
+
∫
0
−
9
f
(
x
)
d
x
=
0
Hence the correct answer is
0
.
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Similar questions
Q.
Identify the correct representation of integral of even function on a symmetric interval.
∫
a
−
a
f
(
x
)
d
x
Q.
The value of the definite integral
∫
1
0
x
d
x
x
3
+
16
lies in the interval [a, b]. The smallest such interval is.