Blog Posts on area by integration




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Example 6 | Plane Areas in Polar Coordinates by on Mar 10, 2010Example 6 What is the area within the curve r2 = 16 cos θ?  ...



Example 5 | Plane Areas in Polar Coordinates by on Mar 10, 2010Example 5 Find the area enclosed by four-leaved rose r = a cos 2θ.  ...



Example 3 | Plane Areas in Polar Coordinates by on Mar 9, 2010Example 3 Find the area inside the cardioid r = a(1 + cos θ) but outside the circle r = a.  ...



Example 6 | Plane Areas in Rectangular Coordinates by on Mar 9, 2010Example 6 Find each of the two areas bounded by the curves y = x3 − 4x and y = x2 + 2x.  ...



Example 4 | Plane Areas in Polar Coordinates by on Mar 9, 2010Example 4 Find the area of the inner loop of the limacon r = a(1 + 2 cos θ).  ...



Example 5 | Plane Areas in Rectangular Coordinates by on Mar 8, 2010Example 5 Find the area between the curves 2x2 + 4x + y = 0 and y = 2x.  ...



Example 4 | Plane Areas in Rectangular Coordinates by on Mar 8, 2010Example 4 Solve the area bounded by the curve y = 4x − x2 and the lines x = −2 and y = 4.  ...



Example 2 | Plane Areas in Polar Coordinates by on Mar 2, 2010Example 2 Find the area bounded by the lemniscate of Bernoulli r2 = a2 cos 2θ.  ...



Example 1 | Plane Areas in Polar Coordinates by on Feb 28, 2010Example 1 Find the area enclosed by r = 2a sin2 θ.  ...



Example 3 | Plane Areas in Rectangular Coordinates by on Feb 22, 2010Example 3 Find the area bounded by the curve x = y2 + 2y and the line x = 3.  ...