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Property 2

Evaluate ∫1+c...

Question

Evaluate $\int \frac{(1 + c o s x)}{x + s i n x} d x$

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Solution

Consider that $I = \int \frac{(1 + c o s x)}{(x + s i n x)} d x L e t x + s i n x = t \Rightarrow (1 + c o s x) d x = d t ∴ I = \int \frac{1}{t} d t = l o g | t | + C = l o g | (x + s i n x) | + C$

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