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Byju's Answer
Standard XII
Mathematics
Sufficient Condition for an Extrema
If ∫sin x d...
Question
If
∫
sin
x
d
x
=
−
cos
x
+
c
1
, then
∫
2
sin
x
d
x
is equal to
A
cos
x
+
c
1
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B
−
2
cos
x
+
c
1
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C
2
cos
x
+
c
1
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D
−
cos
x
+
c
1
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Solution
The correct option is
B
−
2
cos
x
+
c
1
Given :-
∫
sin
x
d
x
=
−
cos
x
+
c
1
Now as we can see that the required integration
2
times the given integration.
Hence we get:
∫
2
sin
x
d
x
=
−
2
cos
x
+
c
1
But as we know that
c
1
is a constant, so any other multiple of it will also be a constant, hence we get option B as the correct answer.
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