What is simplify-1/s e^{-st}dt ?

The solution to simplify-1/s e^{-st}dt is -(dt)/(e^{st)s}

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simplify-1/s e^{-st}dt

simplify

- \frac{1}{s} e^{- s t} d t

- \frac{d t}{e ^{s t} s}

Solution steps

- \frac{1}{s} e^{- s t} d t

Apply exponent rule:

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

= - \frac{1}{e ^{s t}} \cdot \frac{1}{s} d t

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 d t}{s e ^{s t}}

Multiply:

1 \cdot 1 \cdot d t = d t

= - \frac{d t}{e ^{s t} s}

(79.57 \cdot 1 0^{- 9}) (1.778)

2 k d (25 k^{4} d^{2})

39.9 (101.53)^{- 0.995}

100 y^{0.33} \cdot 0.67 x^{- 0.33}

(e^{3 x}) e^{x}

What is simplify-1/s e^{-st}dt ?
The solution to simplify-1/s e^{-st}dt is -(dt)/(e^{st)s}