Byju's Answer
Standard XII
Mathematics
Many-One into Function
integrate (0 ...
Question
integrate (0 to 3): f(x) dx where f(x)= {cos2x, 0
=3
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Similar questions
Q.
If
f
(
x
)
=
sin
(
log
x
)
and
y
=
f
(
2
x
+
3
3
−
2
x
)
, then
d
y
d
x
is
Q.
Assertion :Let
f
(
x
)
=
cos
2
x
+
cos
2
(
x
+
π
3
)
+
cos
2
(
x
−
π
3
)
, then
f
′
(
x
)
=
0
. Reason: Derivative of a constant function is always zero.
Q.
If
f
′′
(
x
)
=
cos
(
log
x
)
x
,
f
′
(
1
)
=
0
and
y
=
f
(
2
x
+
3
3
−
2
x
)
then
d
y
d
x
is equal to
Q.
Let
f
1
(
x
)
=
sin
−
1
(
cos
(
sin
2
x
)
)
,
f
2
(
x
)
=
cos
−
1
(
sin
(
cos
2
x
)
)
,
f
3
(
x
)
=
sin
−
1
(
cos
(
cos
2
x
)
)
and
f
4
(
x
)
=
cos
−
1
(
sin
(
sin
2
x
)
)
.
Then which of the following is (are) CORRECT?
Q.
If
f
(
x
)
is the integral of
2
sin
x
−
sin
2
x
x
3
,
x
≠
0
. Find
lim
x
→
0
f
′
(
x
)
, where
f
′
(
x
)
=
d
f
(
x
)
d
x
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