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NDA Math Definite Integrals
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© examsnet.com
Question : 25
Total: 62
If
b
∫
a
x
3
d
x
=
0
and
b
∫
a
x
2
d
x
=
2
3
then what are the values of a and b respectively?
[NDA I 2018]
−
1
,
1
1
,
1
0
,
0
2
,
−
2
Validate
Solution:
b
∫
a
x
3
d
x
=
0
⇒
a
=
−
b
(∵
x
2
is an odd function)
Now,
b
∫
−
b
x
2
d
x
=
2
3
⇒
2
b
∫
0
x
2
d
x
=
2
3
⇒
[
x
3
3
]
0
b
=
1
3
⇒
b
3
=
1
⇒
b
=
1
© examsnet.com
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