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Byju's Answer
Standard XII
Mathematics
Integration Using Substitution
If ∫ 0 1 ta...
Question
If
∫
1
0
tan
−
1
x
x
d
x
=
k
∫
π
/
2
0
x
sin
x
d
x
then the value of
k
is
A
1
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B
1
4
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C
4
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D
1
2
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Solution
The correct option is
C
1
Put
x
=
tan
a
⟹
∫
π
4
0
sec
2
a
a
tan
a
d
a
;
p
u
t
t
=
2
a
⟹
∫
π
2
0
t
sin
t
d
t
⟹
k
=
1
Suggest Corrections
1
Similar questions
Q.
If
I
1
=
∫
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0
tan
−
1
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d
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x
and
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sin
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then
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I
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Q.
lf
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, then the value of
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Q.
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/
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