Section 5.8
Inverse Trigonometric Functions:
Integration
Formulas
du
u

arcsin

C
 a2  u2
a
du
1
u
 a 2  u 2  a arctan a  C
u
du
1

arc
sec

C
 u u2  a2 a
a
How do you determine if you are
dealing with arcsinu or arcsecu?
Don’t key on whether or not there is a u
outside the radical in the denominator.
Instead look at whether the u squared
term is being added or subtracted in the
radicand.
Standard “Tricks of the Trade”
If at first, the integral doesn’t fit one of your
forms, you might try:
1) Separating the numerator (See #18)
2) Completing the square (See #34)