math 142 integral/trig equations and identities

math 142 integral/trig equations and identities

integral of x^n dx

x^(n+1)/(n+1) +C

integral of 1/x dx

ln |x| + C

integral e^x dx

e^x + C

integral b^x dx

b^x/lnb + C

integral sinx dx

-cosx + c

integral cosx dx

sinx + c

integral sec^2x dx

tanx + C

integral csc^2x dx

-cotx + c

integral secxtanx dx

secx + c

integral cscxcotx dx

-cscx + C

integral secx dx

ln |secx + tanx| + C

integral cscx dx

ln|cscx-cotx|+C

integral tanx dx

ln |secx| +C

integral cotx dx

ln |sinx| +C

integral sinhx dx

coshx +C

integral coshx dx

sinhx +C

integal 1/(x^2+a^2) dx

1/a arctan (x/a) +C

integral 1/(sqrt (a^2-x^2) dx

arcsin(x/a) +C

integral 1/(x^2-a^2)

1/2a ln |(x-a)/(x+a)| +C

sin2x

2cosxsinx

cos2x

cos^2x-sin^2x

a^2-x^2, x\=

asinx

x^2-a^2, x\=

asecx

x^2+a^2, x\=

atanx

cos^2x

1-sin^2x

sin^2x

1-cos^2x

tan^2x

sec^2x-1

sec^2x

tan^2x+1

sin(A+B)

sinAcosB-sinBcosA

sin(A-B)

sinAcosB+sinBcosA

sin^2x+cos^2x\=

1

half angle: sin^2x

1/2-1/2cos2x

half angle: cos^2x

1/2+1/2cos2x

cos(s)sin(t)

(sin(s+t)+sin(s-t))/2