integration Flashcards
1
Q
what do you use if you have a function with sin and cos
A
cos^2x + sin^2x = 1
2
Q
what to use if you have a function with tan and sec
A
1 + tan^2x = sec^2x
3
Q
what to use if you have a function with cot and cosec
A
cot^2x + 1 = cosec^2x
4
Q
what to use if a function contains sqrt( a^2 + x^2)
A
x = asinu
5
Q
what to use if a function contains xsqrt( x^2 - a^2)
A
x = asecu
6
Q
what to use if a function contains a^2 + x^2
A
x = atanu
7
Q
what to use if a function contains sqrt(x^2 - a^2)
A
x = acoshu
8
Q
what to use if a function contains sqrt(x^2 + a^2)
A
x = asinhu
9
Q
what to use if a function contains a^2 - x^2
A
x = atanhu
10
Q
integration by parts formula
A
f(uv’) = uv - fvu’ dx
11
Q
how can sin^2 x be written as
A
( 1 - cos2x/ 2)
12
Q
how can cos^2x be written as
A
(1 + cos2x) /2
13
Q
sin2x
A
2sinxcosx
14
Q
cos2x
A
cos^2x - sin^2x
