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Integrate: intsinm xcosn x\ dx ,\ \ m!=n...

Integrate: `intsinm xcosn x\ dx ,\ \ m!=n`

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`int sin (m x) cdot cos (n x) d x `
`=frac{1}{2} int 2 sin (m x) cdot cos (n x) d x `
`=frac{1}{2} int[sin (m x+n x)+sin (m x-n x)] d x[therefore 2 sin {A} cdot cos {B}=sin (A+B)+sin (A-B)] `
`=frac{1}{2}[-frac{cos (m+n) x}{m+n}-frac{cos (m-n) x}{m-n}]+C`
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