What is e^{-3x} 1/(s(s+1)) ?

The solution to e^{-3x} 1/(s(s+1)) is 1/(e^{3x)s(s+1)}

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simplify e^{-3x} 1/(s(s+1))

simplify

e^{- 3 x} \frac{1}{s ( s + 1 )}

\frac{1}{e ^{3 x} s ( s + 1 )}

Solution steps

e^{- 3 x} \frac{1}{s ( s + 1 )}

Apply exponent rule:

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

= \frac{1}{e ^{3 x}} \cdot \frac{1}{s ( s + 1 )}

Multiply fractions:

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

= \frac{1 \cdot 1}{e ^{3 x} s ( s + 1 )}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{e ^{3 x} s ( s + 1 )}

e^{- l n (- c)}

(x^{(2)} + 1^{(2)})^{(- 2)} d x

(x^{2} + 4)^{- 1}

\frac{d}{d ^{2} x} e^{- x^{2}}

12.6 \cdot 1 0^{- 4}

What is e^{-3x} 1/(s(s+1)) ?
The solution to e^{-3x} 1/(s(s+1)) is 1/(e^{3x)s(s+1)}