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Find int(3+3 cos x)/(x+sin x)dx....

Find `int(3+3 cos x)/(x+sin x)dx`.

Text Solution

Verified by Experts

Let `x+sinx=t`
So `(1+cosx)dx=dt`
`int(dt)/(t)=3log|t|+c=3log|(x+sinx)|+c` or directly by writing formula
`int(f'(x))/(f(x))dx=log|f(x)|+c`
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