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Undergraduate
Calculus
Calculus Of Variations
Find the most general antiderivative of the function. f ( x )
Undergraduate
Find the most general antiderivative of the function. f ( x ) = 7 x 9 3 x 6 + 1 4 x 3 Step
Find the most general antiderivative of the function.
f
(
x
)
=
7
x
9
3
x
6
+
1
4
x
3
Step
1
We have
f
(
x
)
=
7
x
9
3
x
6
+
1
4
x
3
.
If k is any constant and
n
1
,
then an antiderivative of
kxn
is
k
1
n
+
1
xn
+
1
.
Thus, for example, an antiderivative of
7
x
9
is the following.
7
(
1
/
x
^
1
0
)
Step by Step Solution
1
Understanding Responsive Design Principles
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