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Question
Mathematics
∫0a√a2-x2 dx is equal to
Q.
∫
0
a
a
2
−
x
2
d
x
is equal to
1256
191
J & K CET
J & K CET 2007
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A
π
a
2
B
2
1
π
a
2
C
3
1
π
a
2
D
4
1
π
a
2
Solution:
∫
0
a
a
2
−
x
2
d
x
=
[
2
x
a
2
−
x
2
+
2
a
2
sin
−
1
(
a
x
)
]
0
a
=
[
0
+
2
a
2
sin
−
1
(
1
)
−
0
−
2
a
2
sin
−
1
(
0
)
]
=
2
a
2
.
2
π
−
0
=
4
a
2
π