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Byju's Answer
Standard IX
Mathematics
Property 3
Integrate the...
Question
Integrate the function:
√
x
2
+
4
x
−
5
Open in App
Solution
∫
√
x
2
+
4
x
−
5
.
d
x
=
∫
√
x
2
+
4
x
+
4
−
9
.
d
x
=
∫
√
(
x
+
2
)
2
−
9
.
d
x
=
∫
√
(
x
+
2
)
2
−
(
3
)
2
.
d
x
Using
∫
√
(
x
2
−
a
2
)
.
d
x
=
1
2
x
√
(
x
2
−
a
2
)
−
a
2
2
log
∣
∣
x
+
√
(
x
2
−
a
2
)
∣
∣
=
(
x
+
2
)
2
√
(
x
+
2
)
2
−
(
3
)
2
−
(
3
)
2
2
log
∣
∣
x
+
2
+
√
(
x
+
2
)
2
−
(
3
)
2
∣
∣
+
C
=
(
x
+
2
)
2
√
x
2
+
4
x
−
5
−
9
2
log
∣
∣
x
+
2
+
√
x
2
+
4
x
−
5
∣
∣
+
C
Where
C
is constant of integration
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Property 3
Standard IX Mathematics
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