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

The solution to e^{-x} 1/x sin^2(x) is (sin^2(x))/(e^xx)

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

simplify

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

\frac{sin ^{2} ( x )}{e ^{x} x}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 1 \cdot sin^{2} (x) = sin^{2} (x)

= \frac{sin ^{2} ( x )}{e ^{x} x}

(5 x^{2}) (2 x) (3 x^{3})

e^{2} \cdot e

e^{- 3} (\frac{3 ^{4}}{4 !})

e^{- x} sin (x + y)

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