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Evaluate int(4sinx+5cosx)/(5sinx+4cosx)d...

Evaluate `int(4sinx+5cosx)/(5sinx+4cosx)dx`
It is an integration of the form `int(asinx+bcosx)/(c sinx+dcosx)`dx. So, write `4sinx+5cosx=a(d)/(dx)(5sinx+4cosx)+b(5sinx+4cosx)`

Text Solution

Verified by Experts

The correct Answer is:
`5sinx+4cosx`
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