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A:    ∫cosxtan3xdx=∫1-cos2xsinxcos2xdxLet  u=cosx=∫ -1-u2u2du=∫ -1u2+1du=-∫1u2du+∫ 1du=--1u+uSubstitute...

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Q: 1. Prove that the two sets of conditions are equivalent. Here, T is a linear transformation and u, v...

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