Flashcards
C4 integration
Cards in this deck (13)
- 1integration lnxxlnx - x + c
(by parts) - 2integrate sin^2(x)1/2 x - 1/4 sin2x + c
(change sin^2(x) to cos2x form) - 3integrate cos^2(X)1/2 x + 1/4 sin2x + c
( change cos^2(X) to cos2x) - 4integrate sinx-cosx + c
- 5integrate cosxsinx + c
- 6integrate 1/xlnx + c
- 7integrate e^xe^x + c
- 8integrate sec^2(X)tanx + c
- 9integrate cosecxcotx-cosecx + c
- 10integrate cosec^2(X)-cotx + c
- 11integrate secxtanxsecx + c
- 12integrate tan^2(x)sec^2(x) = 1 +tan^2(x)
tan^2(x) = sec^2(x) - 1
integration sec^2(x) - 1
=
tanx -x + c - 13integrate (t+1)/twrite this as two separate fractions
t/t +1/t
= 1 +1/t
int 1+1/t
=
t + lnt + c