Math 129 Section 005H
Lecture 3: Integration by parts (continued)
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Tricky examples
Last time: integration by parts
(Friday, August 27, 2021
Revised August 29, 2021)
∫
u
(
x
)
v
′
(
x
)
𝑑
x
=
u
(
x
)
v
(
x
)
-
∫
u
′
(
x
)
v
(
x
)
.
(1)
Definite integrals:
∫
a
b
u
(
x
)
v
′
(
x
)
𝑑
x
=
u
(
b
)
v
(
b
)
-
u
(
a
)
v
(
a
)
-
∫
a
b
u
′
(
x
)
v
(
x
)
.
(2)