What is e^{-x}(5-e^{-x})dx ?

The solution to e^{-x}(5-e^{-x})dx is (dx(-e^{-x}+5))/(e^x)

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simplify e^{-x}(5-e^{-x})dx

simplify

e^{- x} (5 - e^{- x}) d x

\frac{d x ( - e ^{- x} + 5 )}{e ^{x}}

Solution steps

e^{- x} (5 - e^{- x}) d x

Apply exponent rule:

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

= \frac{1}{e ^{x}} (- e^{- x} + 5) d x

Multiply fractions:

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

= \frac{1 \cdot ( 5 - e ^{- x} ) d x}{e ^{x}}

Multiply:

1 \cdot (5 - e^{- x}) = (5 - e^{- x})

= \frac{( - e ^{- x} + 5 ) d x}{e ^{x}}

e^{- \frac{m w x ^{2}}{2 h}} \cdot e^{- \frac{m w x ^{2}}{2 h}}

e^{- 0.36}

15 x^{2} e n t r e^{5} x

(x^{2} 0.5) (x^{2} 0.5)

x x + 3

What is e^{-x}(5-e^{-x})dx ?
The solution to e^{-x}(5-e^{-x})dx is (dx(-e^{-x}+5))/(e^x)