Integral Rules Calculus 1/2

Integral rules

Integral of: a (In terms of dx)

ax + C

Integral of: 1/x (In terms of dx)

ln|x| + C

Integral of: e^x (In terms of dx)

e^x + C

Integral of: a^x (In terms of dx)

e^x/ln(a) + C

Integral of: lnx (In terms of dx)

x ln(x) - x + C

Integral of: sinx (In terms of dx)

-cosx + c

Integral of: cosx (In terms of dx)

sinx + C

Integral of: tanx (In terms of dx)

ln|secx| + C OR -ln|cosx| + C

Integral of: cotx (In terms of dx)

ln|sinx| + C

Integral of: secx (In terms of dx)

ln|secx + tanx| + C

Integral of: cscx (In terms of dx)

ln|cscx - cotx| + C

Integral of: sec²x (In terms of dx)

tanx+C

Integral of: secxtanx (In terms of dx)

secx+C

Integral of: csc²x (In terms of dx)

-cotx+C

Integral of: tan²x (In terms of dx)

tan²x + C OR sec²x - 1 (Which is simplified to tan²x)

Integral of: 1/sqrt(a²-x²) (In terms of dx)

arcsin(x/a) + C OR -arccos(x/a) + C

Integral of: 1/sqrt(a²+x²) (In terms of dx)

ln|x + sqrt(a²+x²)| + C