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Question
Mathematics
Which of the following statements is incorrect for the function g(α) for α ∈ R such that g(α)=∫(π/6)(π/3) ( sin α x/ cos α x+ sin α x) d x
Q. Which of the following statements is incorrect for the function
g
(
α
)
for
α
∈
R
such that
g
(
α
)
=
∫
6
π
3
π
c
o
s
α
x
+
s
i
n
α
x
s
i
n
α
x
d
x
2755
198
JEE Main
JEE Main 2021
Application of Derivatives
Report Error
A
g
(
α
)
is a strictly increasing function
0%
B
g
(
α
)
has an inflection point at
α
=
−
2
1
0%
C
g
(
α
)
is a strictly decreasing function
0%
D
g
(
α
)
is an even function
100%
Solution:
<
b
r
/
>
<
b
r
/
>
g
(
α
)
=
∫
6
π
π
/3
(
s
i
n
α
x
+
c
o
s
α
x
)
s
i
n
α
x
…
(i)
<
b
r
/
>
g
(
α
)
=
∫
6
π
π
/3
(
s
i
n
α
x
+
c
o
s
α
x
)
c
o
s
α
x
…
(ii)
<
b
r
/
>
<
b
r
/
>
(
1
)
+
(
2
)
<
b
r
/
>
2
g
(
α
)
=
6
π
<
b
r
/
>
<
b
r
/
>
g
(
α
)
=
12
π
<
b
r
/
>
Constant and even function
Due to typing mistake it must be bonus.