x-dx-tan-x-cot-x-2-

Question Number 81100 by jagoll last updated on 09/Feb/20

\int \frac{x d x}{{(\tan x + \cot x)}^{2}} = ?

Commented by mind is power last updated on 09/Feb/20

t a n (x) + c o t (x) = \frac{1}{s i n (x) c o s (x)}

\Leftrightarrow \int {x s i n}^{2} (x) {c o s}^{2} (x) d x

= \int \frac{x}{4} {s i n}^{2} (2 x) d x = \int \frac{x}{4} (\frac{1 - c o s (4 x)}{2}) d x

t r y t o o f i n i s h

Commented by jagoll last updated on 09/Feb/20

t h a n k y o u m i s t e r

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