What is expand (2tan(x)-cot(x))^2dx ?

The solution to expand (2tan(x)-cot(x))^2dx is 4tan^2(x)dx-4dx+cot^2(x)dx

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expand (2tan(x)-cot(x))^2dx

expand

(2 tan (x) - cot (x))^{2} d x

4 tan^{2} (x) d x - 4 d x + cot^{2} (x) d x

Solution steps

(2 tan (x) - cot (x))^{2} d x

(2 tan (x) - cot (x))^{2} = 4 tan^{2} (x) - 4 + cot^{2} (x)

= (4 tan^{2} (x) + cot^{2} (x) - 4) d x

Distribute parentheses

= d x \cdot 4 tan^{2} (x) + d x (- 4) + d x cot^{2} (x)

Apply minus-plus rules

+ (- a) = - a

= 4 tan^{2} (x) d x - 4 d x + cot^{2} (x) d x

\frac{π}{3} \cdot 6

y d y (x y - 1) + x y^{2} + 1

π (2 x + 1)^{2}

(t - 1) B e^{t} + 2 e^{t}

\frac{( a - 5 ) a}{a - 2}

What is expand (2tan(x)-cot(x))^2dx ?
The solution to expand (2tan(x)-cot(x))^2dx is 4tan^2(x)dx-4dx+cot^2(x)dx