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Popular >

simplify 2te^{-st}dt

Solution

simplify

2 t e^{- s t} d t

Solution

\frac{2 t d t}{e ^{t s}}

Solution steps

2 t e^{- s t} d t

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{t s}} t d t

Multiply fractions:

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

= \frac{1 \cdot 2 t d t}{e ^{s t}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 t d t}{e ^{t s}}

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Frequently Asked Questions (FAQ)

What is 2te^{-st}dt ?
The solution to 2te^{-st}dt is (2tdt)/(e^{ts)}