Integration of sin ³a.cos ³a , Mathematics

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writing sin3a.cos3a = sin3a.cos2a.cosa

= sin3a.(1-sin2a).cosa

put sin a as then cos a da = dt

integral(t3(1-t2).dt

= integral of t3- t5 dt

= t4/4-t6/6 + c where t = sina


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