How do you evaluate the integral $\int \frac{cos θ}{1 + sin θ}$ $int costheta/(1+sintheta)$ ?

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Answer 1 · 2017-03-03T19:12:33

$F (x) = ln | sin θ + 1 | + C$ $"F"(x) = ln|sintheta +1|+"C"$

This is a standard integral $int (f'(theta))/(f(theta)) = ln|f(theta)| + "C"$ .

So $"F"(x) = ln|1+sintheta| + " C"$

How do you evaluate the integral int costheta/(1+sintheta)∫cosθ1+sinθint costheta/(1+sintheta)?