Area & arc length using calculus

Become a professional area-under-curve finder! You will also learn here how integrals can be used to find lengths of curves. The tools of calculus are so versatile!
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Integral calculus isn't only useful for finding area. For example, it can also be used to find lengths of one-dimensional curves. Learn all about it here.

We're used to finding the area under curves in the Cartesian plane, but integration can be used to find area defined by polar curves too.

You may already be familiar with finding arc length of graphs that are defined in terms of rectangular coordinates. We'll now extend our knowledge of arc length to include polar graphs.