Pure (Important Stuff) Flashcards
1
Q
integral of cosecxcotx
A
-cosecx + c
2
Q
integral of secxtanx
A
secx + c
3
Q
integral of cosec^2x
A
-cotx
4
Q
derivative of tanx
A
sec^2x
5
Q
integral of tan x
A
-lncosx
tanx = sinx/cosx, f’(x)/f(x)
6
Q
sin2x =
A
2sinxcosx
7
Q
cos2x =
A
- cos^2x - sin^2x
- 2cos^2x - 1
- 1 - 2sin^2x
8
Q
sec^2 x =
A
1 +tan^2 x
9
Q
cosec^2 x =
A
1 + cot^ x
10
Q
if part of the function differentiates to give the whole function then
A
the integral is the function
11
Q
integral of sec^2x
A
tanx + c
12
Q
convex curve
A
curve is below chord
second derivative > 0
13
Q
concave curve
A
curve is above chord
second derivative < 0
14
Q
Odd function geometrically
A
rotational symmetry about origin
15
Q
even function geometrically
A
symmetric with respect to y axis
