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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)=8ex +7 sec2(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)=8ex +7 sec2(x).
First let's consider the second piece.
Since
sec2(x)
is the derivative of
, then the antiderivative of
sec2(x)
is
+ C.

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