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NDA Math Definite Integrals
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© examsnet.com
Question : 43
Total: 62
If
0
<
a
<
b
,then
b
∫
a
|
x
|
x
d
x
is equal to
[NDA II 2015]
|
b
|
−
|
a
|
|
a
|
−
|
b
|
|
b
|
|
a
|
0
Validate
Solution:
b
∫
a
|
x
|
x
d
x
When
x
≥
0
⇒
b
∫
a
x
x
d
x
b
∫
a
(
1
)
d
x
=
[
x
]
a
b
|
b
|
−
|
a
|
when
x
<
0
; as
0
<
a
<
b
; x will not lie between a and b
so
b
∫
a
|
x
|
x
d
x
=
0
for
x
<
0
© examsnet.com
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