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  12. sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

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  13. Prove normal matrix is unitary diagonalizable

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  14. Integral of 1/(e^x+1) and integral of 1/(e^x-1)

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  15. Mathematical induction exercise: 6^n-1 is divisible by 5

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