Integrating Using Substitution
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Evaluate
∫
cos
(
3
x
)
d
x
\int \cos(3x)\,dx
∫
cos
(
3
x
)
d
x
using substitution.
QUESTION
Identify
d
u
du
d
u
for substitution when
u
=
1
x
u = \frac{1}{x}
u
=
x
1
.
QUESTION
Identify the most effective choice of
u
u
u
in
∫
(
5
x
−
1
)
7
d
x
\int (5x-1)^7\,dx
∫
(
5
x
−
1
)
7
d
x
.
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ANSWER
u
=
5
x
−
1
u=5x-1
u
=
5
x
−
1
. The derivative of
5
x
−
1
5x-1
5
x
−
1
is
5
5
5
, a constant factor.
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