simplify xe^{-sx}dx

Solution

simplify

x e^{- s x} d x

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

Solution steps

x e^{- s x} d x

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot x = x

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

e^{- 6 t} cos (2 (t - 6))

6 (5) (7.5)^{4} e^{- \frac{5 ( 7.5 )}{4}} [1 - \frac{1}{4} (7.5)]

(0.4) (44.938 \cdot 1 0^{- 9})

x 1 + \frac{9}{x}

107 (1 + 0.1414)^{- 3}