Indefinite Integrals
I
k dx
kx
C
ku x
dx
k
u x
dx
where k is a real constant
=
+
=
∫
∫
∫
(
)
(
)
.
[
(
)
(
)]
(
)
(
)
u x
v x
dx
u x dx
v x dx
±
=
±
∫
∫
∫
[
(
)]
(
)
[
(
)]
,
u x
u
x dx
u x
n
C
if n
n
n
⋅
′
=
+
+
≠ 
+
∫
1
1
1
(
29
(
29
sin
(
)
(
)
cos
(
)
u x
u
x dx
u x
C
⋅
′
= 
+
∫
(
29
(
29
cos
(
)
(
)
sin
(
)
u x
u
x dx
u x
C
⋅
′
=
+
∫
(
29
(
29
sec
(
)
(
)
tan
(
)
2
u x
u
x dx
u x
C
⋅
′
=
+
∫
(
29
(
29
csc
(
)
(
)
cot
(
)
2
u x
u
x dx
u x
C
⋅
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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .
 Spring '08
 varies
 Calculus, Definite Integrals, Integrals

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