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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 ) = 8 ex + 7 sec 2 ( x ) Step 1 We
Find the most general antiderivative of the function.
f
(
x
)
=
8
ex
+
7
sec
2
(
x
)
Step
1
We know that if F and G are antiderivatives of f and g
,
respectively, then
F
+
G
is an antiderivative of
f
+
g
.
So
,
let's consider each piece of
f
(
x
)
=
8
ex
+
7
sec
2
(
x
)
.
First let's consider the second piece.
Since
sec
2
(
x
)
is the derivative of
,
then the antiderivative of
sec
2
(
x
)
is
+
C
.
Step by Step Solution
1
Understanding Responsive Design Principles
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