List of formulae 339
Grouped data:
mean, ¯
x =
f x
f
standard deviation, σ =
f (x − ¯
x)
2
f
Standard derivatives
y or f(x)
dy
dx
= or f (x)
ax n
anx n−1
sin ax
a cos ax
cos ax
−a sin ax
e ax
ae ax
ln ax
1
x
Standard integrals
y
y dx
ax n
a
x n+1
n + 1
+ c (except when n = −1)
cos ax
1
a
sin ax + c
sin ax
−
1
a
cos ax + c
e ax
1
a
e ax + c
1
x
ln x + c
Grouped data:
mean, ¯
x =
f x
f
standard deviation, σ =
f (x − ¯
x)
2
f
Standard derivatives
y or f(x)
dy
dx
= or f (x)
ax n
anx n−1
sin ax
a cos ax
cos ax
−a sin ax
e ax
ae ax
ln ax
1
x
Standard integrals
y
y dx
ax n
a
x n+1
n + 1
+ c (except when n = −1)
cos ax
1
a
sin ax + c
sin ax
−
1
a
cos ax + c
e ax
1
a
e ax + c
1
x
ln x + c
