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

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

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

$$tan\left(x\right)+cot\left(x\right)=\frac{1}{sin\left(x\right)cos\left(x\right)}$$$$\iff \int {xsin}^2\left(x\right){cos}^2\left(x\right)dx$$$$=\int \frac{x}{4}{sin}^2\left(2x\right)dx=\int \frac{x}{4}\left(\frac{1-cos\left(4x\right)}{2}\right)dx$$$$trytoofinish$$

Commented by jagoll last updated on 09/Feb/20

$$thankyoumister$$

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