Finding slices by taking slices perpendicular to the axis of rotation.
lesson notes:01 discs & washers
Finding slices by taking slices perpendicular to the axis of rotation.
lesson notes:01 discs & washers
Knowledge about the symmetry of functions can assist in their integration.
lesson notes:08 using symmetry
To save repeatedly integrating similar integrals over and over again, in order to get an integrand that can be handled, we can generalise the integrand and then create a reduction formula.
lesson notes:07 reduction formula
Two terms in a square root sign can be turned into one, using the trig identities via an appropriate substitution.
lesson notes:05 trig substitutions
By using the t-results a trig integral can become an integral with a quadratic denominator.
lesson notes:05 t results