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- where R is called the region of integration and is a region in the (x,y) plane. The double integral gives us the volume under the surface z = f(x,y), just as a single integral gives the area under a curve. 0.2 Evaluation of double integrals To evaluate a double integral we do it in stages, starting from the inside and working out, using our knowledge of the methods for single integrals. The
- A Reduction Formula Problem: Integrate I= Z (sinx)ndx Try integration by parts with u= (sinx)n 1 v= cosx du= (n 1)(sinx)n 2 cosxdx dv= sinxdx We get I=
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