integrate x^2*root x+1
Answers
Answered by
2
Answer:
bhukfjghydjgtguvhctucigcitvj
Answered by
9
Answer:
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Step-by-step explanation:
We set
u
=
√
x
+
1
hence
d
u
=
1
2
⋅
√
x
+
1
d
x
∫
x
2
⋅
√
x
+
1
d
x
=
2
⋅
∫
(
u
2
−
1
)
2
⋅
u
2
d
u
=
2
⋅
∫
(
u
6
−
2
u
4
+
u
2
)
d
u
=
2
⋅
[
u
7
7
−
2
⋅
u
5
5
+
u
3
3
]
Now replacing u with
√
x
+
1
we get finally that
∫
x
2
⋅
√
x
+
1
d
x
=
2
105
⋅
√
(
x
+
1
)
3
⋅
(
15
x
2
−
12
x
+
8
)
+
c
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