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NDA Math Definite Integrals
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© examsnet.com
Question : 20
Total: 62
What is
1
∫
−
1
{
d
d
x
(
tan
−
1
1
x
)
}
d
x
equal to ?
[NDA II 2018]
0
−
π
4
−
π
2
π
2
Validate
Solution:
1
∫
−
1
(
d
d
x
tan
−
1
1
x
)
d
x
=
1
∫
−
1
(
d
d
x
cot
−
1
x
)
d
x
=
1
∫
−
1
−
1
(
1
+
x
2
)
d
x
=
−
2
1
∫
0
1
1
+
x
2
d
x
=
−
2
[
tan
−
1
x
]
0
1
=
−
2
×
π
4
=
−
π
2
© examsnet.com
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