1
Q
sin2(x)cos2(x) =
A
1
2
Q
sin2(x) =
A
1/2 (1+cos(2x))
3
Q
cos2(X) =
A
1/2(1-cos(2x))
4
Q
form integral of sinm(x)cosn(x)dx
if m or n odd then
A
save either 1 sinx or 1 cos x, rest with identity
5
Q
form integral of tanm(x)secn(x)dx
if sec is even
sub what
A
save a sec2(x) and use 1+tan2(X) =sec2(x)
u = tanx
6
Q
form integral of tanm(x)secn(x)dx
if tan is odd
A
save secxtanx rest in 1+tan2(x)=sec2(x)
u = secx
7
Q
tan2(x)+1=
A
sec2(x)
8
Q
sinxcosx=
A
1/2sin(2x)
9
Q
a2-x2
A
asin(teta)
1-sin2(x)=cos2(x)
10
Q
a2+x2
A
atan(teta)
1+tan2(x)=sec2(x)
11
Q
x2-a2
A
asec(teta)
sec2(x)-1=tan2(x)
12
Q
integral of tanx
A
ln|sec(x)|
13
Q
integral of cotx
A
lm|-csc(x)|
14
Q
integral of secx
A
ln|secx+tanx|
15
Q
integral of cscx
A
ln|cscx-cotx|
fall semester 2024
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