## Line integrals

The line integral along the curve C can be written as
where C is parametrisized as r(t) with the parmeter t.

∫¦r'(t)¦ dt equals the arc length i.e. the length of the curve.

Consider eg the circle.  x2+ y2 = r2. This can be parametrisized as follows

x(t) = cos(t)

y(t) = sin(t)

The perimeter of the circle can then be calculated according to

∫ sint2+cos2t dt= 2π
0

## Om mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics
Detta inlägg publicerades i Gymnasiefysik(high school physics), matematik 5. Bokmärk permalänken.