Common Integrals

8.1 Integration by Parts
- (fg)' = f'g + gf'
- ∫udv = ∫udv + dvu - vdu
Inverse Trig Functions:
Things to know.
- sin²x + cos²x = 1
- sin²x = 1/2 - 1/2cos²x
- sin(2x) = 2sinxcosx
- d/dx cos^-1x = -1/(1-x)^1/2
- cos²x = 1/2 + 1/2cos2x
- cos2x = cos²x - sin²x
- d/dx cos^-1x = -1/(1-x)^1/2
More Inverse Funtions
- tan²+ 1 = sec²x
- d/dx tan²x = sec²x
- d/dx tan^-1x = 1/(1+x²)
- d/dx ln(x²+1) = 1/(x²+1) * 2x
Inverse Trig Functions
- sec²x = tan²x + 1
- d/dx secx = secxtanx
- d/dx sin^-1x = 1/(1-x²)^1/2
- d/dx sec^-1x = 1/(x(x²-1)^1/2)
- d/dx tan^-1x = 1/(1+x²)

Author

xcristy182x

54284

Card Set

Common Integrals

Description

Sections

Updated

2010-12-08T07:46:39Z

Show Answers