Evaluate 3 x 8x 5 dx 2
K3
Answers
Answer:
Step-by-step explanation:
Calculus Examples
Popular Problems Calculus Find the Integral 3x^2+8x+5(dx)
3
x
2
+
8
x
+
5
(
d
x
)
Split the single integral into multiple integrals.
∫
3
x
2
d
x
+
∫
8
x
d
x
+
∫
5
d
x
d
x
Since
3
is constant with respect to
x
, move
3
out of the integral.
3
∫
x
2
d
x
+
∫
8
x
d
x
+
∫
5
d
x
d
x
By the Power Rule, the integral of
x
2
with respect to
x
is
1
3
x
3
.
3
(
1
3
x
3
+
C
)
+
∫
8
x
d
x
+
∫
5
d
x
d
x
Since
8
is constant with respect to
x
, move
8
out of the integral.
3
(
1
3
x
3
+
C
)
+
8
∫
x
d
x
+
∫
5
d
x
d
x
By the Power Rule, the integral of
x
with respect to
x
is
1
2
x
2
.
3
(
1
3
x
3
+
C
)
+
8
(
1
2
x
2
+
C
)
+
∫
5
d
x
d
x
Since
5
d
is constant with respect to
x
, move
5
d
out of the integral.
3
(
1
3
x
3
+
C
)
+
8
(
1
2
x
2
+
C
)
+
5
d
∫
x
d
x
By the Power Rule, the integral of
x
with respect to
x
is
1
2
x
2
.
3
(
1
3
x
3
+
C
)
+
8
(
1
2
x
2
+
C
)
+
5
d
(
1
2
x
2
+
C
)
Simplify.
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x
3
+
4
x
2
+
5
2
d
x
2
+
C