Byju's Answer
Standard XII
Mathematics
Definition of Function
Statement #...
Question
Statement
∫
a
−
a
f
(
x
)
d
x
=
{
2
∫
a
0
f
(
x
)
d
x
,
if f is an even function
0
if f is an odd function
is ?
A
True
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B
False
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Similar questions
Q.
Show that:
∫
a
−
a
f
(
x
)
d
x
=
2
∫
a
0
f
(
x
)
d
x
, if
f
(
x
)
is an even function.
I
=
0
, if
f
(
x
)
is an odd function.
Q.
Prove that
∫
a
−
a
f
(
x
)
d
x
=
{
2
∫
a
0
f
(
x
)
d
x
,
i
f
f
i
s
a
n
e
v
e
n
f
u
n
c
t
i
o
n
0
i
f
f
i
s
a
n
o
d
d
f
u
n
c
t
i
o
n
and hence evaluate
∫
1
−
1
sin
7
x
.
cos
4
x
d
x
Q.
For each of the statements given below, state whether it is true or false :
(ii) The opposite of
−
17
is
17.
True
False
Q.
For each of the statements given below, state whether it is true or false :
(iv) Every negative integer is smaller then
0.
True
False
Q.
For each of the statements given below, state whether it is true or false :
(v)
0
is greater than every positive integer.
True
False
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Definition of Function
Standard XII Mathematics
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Grade/Exam
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade - Commerce
12th Grade - Commerce
IAS
LKG
UKG
1st Grade
2nd Grade
3rd Grade
JEE (11th)
NEET (11th)
JEE & NEET (11th)
JEE (12th)
NEET (12th)
JEE & NEET (12th)
JEE (12th Pass)
NEET (12th Pass)
JEE & NEET (12th Pass)
CAT
Civil Engineering
Electrical Engineering
Computer Science Engineering
Electronics and Communication Engineering
Instrumentation Engineering
Mechanical Engineering
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