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Popular >

simplify (t+1)e^{-st}dt

Solution

simplify

(t + 1) e^{- s t} d t

Solution

\frac{d t ( t + 1 )}{e ^{t s}}

Solution steps

(t + 1) e^{- s t} d t

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot (t + 1) = (t + 1)

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

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Frequently Asked Questions (FAQ)

What is (t+1)e^{-st}dt ?
The solution to (t+1)e^{-st}dt is (dt(t+1))/(e^{ts)}