Please enable JavaScript.
Coggle requires JavaScript to display documents.
Equations - Coggle Diagram
Equations
Not Given
Trig
double Angle
Sin2A= 2SinACosA
Cos2A= Cos^2A-Sin^2A
Cos2A= 2Cos^2A-1
Cos2A= 1-2Sin^2A
Tan2A= 2TanA/1-tan^2A
Radians
A= 1/2 r^2θ
l = rθ
identities
1+tan^2θ= Sec^2θ
Sin^2θ+Cos^2θ = 1
1+ cot^2θ = Cosec^θ
Integration
∫x² dx = x^n+1/n+1 +c
∫(ax+b)^n dx = (ax+b)^n/ (n+1)*a
∫f'(x)/f(x) dx = ln|f(x)| +c
∫ Sin f(x) dx = -Cos f(x) / f'(x) +c
∫Tan²x dx USE 1+ tan²x = sec²x
∫sin²x dx USE Cos2x = 1- 2Sin²x
∫Cos²x dx USE Cos2x = 2Cos²x -1
∫SinxCosx dx USE Sin2x = 2SinxCosx
∫Sin²xCosx dx USE "higher power, reverse differentiation"
∫ Fraction dx
1) can you bring it to the top as a power
2) Is it ln ?
3) Is it top heavy? long division
4) Is it a partial fraction?
Diffrentiation
d (uv) = vdu + udv
d (u/v) = v(du/dx) - u(dv/dx)
Given