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Byju's Answer
Standard XII
Mathematics
Definite Integral as Limit of Sum
What is I1 ...
Question
What is
I
1
equal to ?
A
π
24
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B
π
18
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C
π
12
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D
π
6
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Solution
The correct option is
C
π
12
I
1
=
∫
π
3
π
6
d
x
1
+
√
t
a
n
x
Using the property of definite integrals and substituting x by
x
−
π
6
−
π
3
We get
I
1
=
∫
π
3
π
6
d
x
1
+
√
c
o
t
x
⇒
I
1
=
∫
π
3
π
6
√
t
a
n
x
d
x
1
+
√
t
a
n
x
on adding both, we get
I
1
+
I
1
=
∫
π
3
π
6
d
x
2
I
1
=
π
3
−
π
6
I
1
=
π
12
Suggest Corrections
0
Similar questions
Q.
If
f
(
x
)
is an integrable function in
(
π
6
,
π
3
)
and
I
1
=
∫
π
/
3
π
/
6
sec
2
x
f
(
2
sin
2
x
)
d
x
and
I
2
=
∫
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/
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c
o
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x
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sin
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x
)
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x
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then:
Q.
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2
is in the interval :
Q.
T
h
e
v
a
l
u
e
o
f
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Q.
If
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≤
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≤
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o
s
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=
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then x is equal to