find-dt-sin-2t-

Question Number 34284 by math khazana by abdo last updated on 03/May/18

f i n d \int \frac{d t}{s i n (2 t)}

Commented by math khazana by abdo last updated on 07/May/18

c h a n g e m e n t t a n t = x g i v e

\int \frac{d t}{s i n (2 t)} = \int \frac{1}{\frac{2 x}{1 + x^{2}}} \frac{d x}{1 + x^{2}} = \frac{1}{2} \int \frac{d x}{x}

= \frac{1}{2} l n ∣ x ∣ + c = \frac{1}{2} l n ∣ t a n t ∣ + c .