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Popular >

simplify te^{-st}dt

Solution

simplify

t e^{- s t} d t

Solution

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

Solution steps

t e^{- s t} d t

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot t = t

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

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Frequently Asked Questions (FAQ)

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