Basic Engineering Mathematics, Fifth Edition

List of formulae 339

Grouped data:
mean,x ̄=

∑

fx

∑

f

standard deviation,σ=

√√

√

√

[∑{

f(x− ̄x)^2

}

∑

f

]

Standard derivatives

y orf(x)

dy

dx

=orf′(x)

axn anxn−^1

sinax acosax

cosax −asinax

eax aeax

lnax

1

x

Standard integrals

y

∫

ydx

axn a

xn+^1

n+ 1

+c(except whenn=− 1 )

cosax

1

a

sinax+c

sinax −

1

a

cosax+c

eax

1

a

eax+c

1

x

lnx+c