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Byju's Answer
Standard XII
Mathematics
Domain
If ∫xπ/3√3-...
Question
If
∫
x
π
3
√
3
−
sin
2
t
d
t
+
∫
y
0
cos
t
d
t
=
0
then evaluate
d
y
d
x
.
A
√
3
−
sin
2
x
cos
y
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B
−
√
3
−
sin
2
x
cos
y
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C
cos
y
√
3
−
sin
2
x
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D
−
cos
y
√
3
−
sin
2
x
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Solution
The correct option is
B
−
√
3
−
sin
2
x
cos
y
∫
x
π
/
3
√
3
−
sin
2
t
d
t
+
∫
y
0
cos
t
d
t
=
0
Differentiate with respect to
x
√
3
−
sin
2
x
.1
+
√
3
−
sin
2
π
3
⋅
0
+
cos
y
d
y
d
x
=
0
√
3
−
sin
2
x
+
cos
y
d
y
d
x
=
0
cos
y
d
y
d
x
=
−
√
3
−
sin
2
x
d
y
d
x
=
−
√
3
−
sin
2
x
cos
y
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0
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