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Popular >

simplify sin(wt)e^{-st}dt

Solution

simplify

sin (wt) e^{- s t} d t

Solution

\frac{sin ( wt ) d t}{e ^{t s}}

Solution steps

sin (wt) e^{- s t} d t

Apply exponent rule:

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

= \frac{1}{e ^{t s}} sin (wt) d t

Multiply fractions:

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

= \frac{1 \cdot sin ( wt ) d t}{e ^{s t}}

Multiply:

1 \cdot sin (wt) = sin (wt)

= \frac{sin ( wt ) d t}{e ^{t s}}

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e^{- 20 t} e^{- 10 t}

Frequently Asked Questions (FAQ)

What is sin(wt)e^{-st}dt ?
The solution to sin(wt)e^{-st}dt is (sin(wt)dt)/(e^{ts)}