What is the Integration of √x²+x+1 dx
Answers
Answered by
2
Answer:
lollipop
Step-by-step explanation:
lollipop
Answered by
5
2
√
3
3
arctan
(
2
x
+
1
√
3
)
+
c
Explanation:
x
2
+
x
+
1
=
(
x
+
1
2
)
2
+
3
4
⇒
∫
1
(
x
+
1
2
)
2
+
3
4
d
x
let
3
4
u
2
=
(
x
+
1
2
)
2
⇒
√
3
2
u
=
x
+
1
2
⇒
√
3
2
d
u
=
d
x
⇒
√
3
2
∫
1
3
4
u
2
+
3
4
d
u
⇒
2
√
3
3
∫
1
u
2
+
1
d
u
⇒
2
√
3
3
arctan
(
u
)
+
c
=
2
√
3
3
arctan
(
2
x
+
1
√
3
)
+
constant please brainliest
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