What is (1-cos(2x))/x e^{-2x} ?

The solution to (1-cos(2x))/x e^{-2x} is (-cos(2x)+1)/(e^{2x)x}

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simplify (1-cos(2x))/x e^{-2x}

simplify

\frac{1 - cos ( 2 x )}{x} e^{- 2 x}

\frac{- cos ( 2 x ) + 1}{e ^{2 x} x}

Solution steps

\frac{1 - cos ( 2 x )}{x} e^{- 2 x}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{- cos ( 2 x ) + 1}{x} \cdot \frac{1}{e ^{2 x}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( 1 - cos ( 2 x ) ) \cdot 1}{x e ^{2 x}}

(1 - cos (2 x)) \cdot 1 = 1 - cos (2 x)

= \frac{1 - cos ( 2 x )}{e ^{2 x} x}

1.75 \cdot 1 0^{- 4} \cdot 1000

[[(- \frac{1}{7})^{2}]^{- 1}]^{- 1}

1 + x^{2}

e^{- 0.1 \cdot (\frac{6}{12})} [0.7564 \cdot 3 + 0.2436 \cdot 21]

- 3 m^{2} n^{2} (6 m^{3} n^{2} + 7 m^{2} n + 4)

What is (1-cos(2x))/x e^{-2x} ?
The solution to (1-cos(2x))/x e^{-2x} is (-cos(2x)+1)/(e^{2x)x}