What is expand f(e^{2x}-e^{-2x})^2dx ?

The solution to expand f(e^{2x}-e^{-2x})^2dx is e^{4x}fdx-2fdx+e^{-4x}fdx

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expand f(e^{2x}-e^{-2x})^2dx

expand

f (e^{2 x} - e^{- 2 x})^{2} d x

e^{4 x} fd x - 2 fd x + e^{- 4 x} fd x

Solution steps

f (e^{2 x} - e^{- 2 x})^{2} d x

(e^{2 x} - e^{- 2 x})^{2} = e^{4 x} - 2 + e^{- 4 x}

= f (e^{4 x} + e^{- 4 x} - 2) d x

Distribute parentheses

= fd x e^{4 x} + fd x (- 2) + fd x e^{- 4 x}

Apply minus-plus rules

+ (- a) = - a

= e^{4 x} fd x - 2 fd x + e^{- 4 x} fd x

\frac{16 x}{( 4 - x ^{2} ) ^{2}}

(1 - e^{- 4 s})^{3}

(18 + \frac{5}{4 ln ( 2 )}) 2

3 (\frac{2}{3} m - 6 n)

(n + 4) \cdot n - 1

What is expand f(e^{2x}-e^{-2x})^2dx ?
The solution to expand f(e^{2x}-e^{-2x})^2dx is e^{4x}fdx-2fdx+e^{-4x}fdx