Math 242 Formulas & Identities

Volume by Cross-Sections
(Cartesian)

Volume by Cylindrical Shells
(Cartesian)

Arc Length
(Cartesian)

Surface Area
(Cartesian)

Work
(Spring)

Work
(Pumping/Lifting)

Fluid Force

Pythagorean Identities

Half-Angle Identities
for
Sine and Cosine

Double-Angle Identity
for
Sine

Taylor Series
for
f(x) at x=a

Taylor's Remainder
(Error)

Alternating Series Error

Truncation Error
for
Series that Converge
by
Integral test

Slope
(Parametric)

Higher Order Derivatives
(Parametric)

Length
(Parametric)

Area
(Parametric)

Surface Area
(Parametric)

Slope
(Polar)

Area
(Polar)

Length
(Polar)