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KCET 2016 Math Solved Paper
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© examsnet.com
Question : 49
Total: 60
The value of
8
∫
2
√
10
−
x
√
x
+
√
10
−
x
d
x
is
10
0
8
3
Validate
Solution:
Given that,
I
=
8
∫
2
√
10
−
x
√
x
+
√
10
−
x
d
x
→ (1)
We know that,
b
∫
a
f
(
x
)
d
x
=
b
∫
a
f
(
a
+
b
−
x
)
d
x
So,
I
=
8
∫
2
√
x
√
10
−
x
+
√
x
d
x
→ (2)
Adding Eqs. (1) and (2), we get
2
I
=
8
∫
2
d
x
=
[
x
]
2
8
⇒
2
I
=
6
⇒
I
=
3
© examsnet.com
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