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Byju's Answer
Standard XII
Mathematics
Property 2
To evaluate t...
Question
To evaluate the integral
∫
d
x
x
−
√
x
2
+
2
x
+
4
, a good substitution is/are
√
x
2
+
2
x
+
4
equal to:
A
t
x
+
2
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B
t
+
x
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C
t
(
x
+
1
)
±
1
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D
t
−
x
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Solution
The correct options are
A
t
x
+
2
B
t
+
x
D
t
−
x
In
x
2
+
2
x
+
4
,
a
=
1
>
0
,
c
=
4
>
0
So the integral can be evaluated by using substitution
√
x
2
+
2
x
+
4
=
t
±
x
or
√
x
2
+
2
x
+
4
=
t
x
+
2
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0
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