How do you find ∫x+2√−x2−4x?
Answers
Answered by
0
Answer:
56
3
.
Explanation:
Start by integrating using the rule
∫
(
x
n
)
d
x
=
x
n
+
1
n
+
1
+
C
.
∫
2
0
(
x
2
+
4
x
+
4
)
d
x
=
1
3
x
3
+
2
x
2
+
4
x
∣
∣
∣
2
0
We now use the rule that
∫
b
a
f
(
x
)
d
x
=
F
(
b
)
−
F
(
a
)
, where
F
(
x
)
is the antiderivative of
f
(
x
)
.
⇒
1
3
(
2
)
3
+
2
(
2
)
2
+
4
(
2
)
−
(
2
3
(
0
)
3
+
2
(
0
)
2
+
4
(
0
)
)
⇒
1
3
(
8
)
+
8
+
8
−
0
⇒
56
3
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