FUCK CALC 2 Exam 1 Edition

Sin(2x) =

Sin(2x) =

2Sin(x)Cos(x)

Cos(2x) =

Cos²(x) - Sin²(x)

Sin²(x) =

(1-Cos(2x))/2

Cos²(x) =

(1+Cos(2x))/2

Sin²(x) + Cos²(x) =

1

Washer Method

π∫(Large Radius)² - (Small Radius)² dx

Cylinder Method

2π∫(Radius) dx

Arc Length

∫Sqrt(1+f’(x)²) dx

Surface Area

2π∫(Radius)(Arc length) dx

Work

∫(Radius)(Density) dx

Fluid Pressure

∫(Density)(Area Length) dx

(x,y)

(M(y)/M,M(x)/M)

M_{y or x}

∫(Density)(Area)(y or x coordinate) dx

M

∫(Density)(Area)

Wire Center of Mass

∫(Density)(Arc Length)

Parametric (dy/dx)

(dy/dt)/(dx/dt)

Parametric (d²y/d²x)

d/dt((dy/dt)/(dx/dt))/(dx/dt)

Parametric Arc Length

∫sqrt((dx/dt)²+(dy/dt)²) dt

Polar (x)

rCos(x)

Polar (y)

rSin(x)

Polar Curve (dy/dθ)/(dx/dθ)

(f’(θ)Sin(θ)+f(θ)Cos(θ))/(f’(θ)Cos(θ)-f(θ)Sin(θ))

Polar Arc length

∫sqrt(f’(θ)²+f(θ)²) dθ

Polar Area

∫r² dθ

Parametric Area

∫y(t)x’(t)dt

Parametric Surface Area

2π∫(y or x cord)(Arc Length) dt