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Popular >

simplify u*e^{-u}du

Solution

simplify

u \cdot e^{- u} d u

Solution

\frac{u d u}{e ^{u}}

Solution steps

u e^{- u} d u

Apply exponent rule:

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

= \frac{1}{e ^{u}} u d u

Multiply fractions:

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

= \frac{1 \cdot u d u}{e ^{u}}

Multiply:

1 \cdot u = u

= \frac{u d u}{e ^{u}}

Popular Examples

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\frac{39}{86}

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g^{6} (8 g^{2})

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(3 x^{\frac{2}{3}})^{2}

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\frac{300}{\frac{1}{12}} (\frac{0.6869}{300})

simplify 241(20)^{-0.25}simplify

241 (20)^{- 0.25}

Frequently Asked Questions (FAQ)

What is u*e^{-u}du ?
The solution to u*e^{-u}du is (udu)/(e^u)