Integration by Parts, Trig Substitution Flashcards
1
Q
formula for integration by parts
A
integral(u dv) = uv - integral(v du)
3
Q
sin^2(x)
A
(1-cos(x))/2
4
Q
cos^2(x)
A
(1+cos(x))/2
5
Q
rule for choosing u in integration by parts
A
- Inverse trig
- Logarithmic
- Algebraic
- Trig
- Exponential
6
Q
cos(x+y)
A
cos(x)cos(y) - sin(x)sin(y)
7
Q
sin(x+y)
A
sin(x)cos(y) + sin(y)cos(x)
8
Q
tabular method
A
if one part can be derived to zero, and the other can be derived indefinitely, you can make a table starting with the original parts and then derive both until the first function is derived to zero. then draw diagonals and multiply connected functions. add first then subtract and alternate
