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Popular >

simplify xe^{-x^2}dx

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{x^{2}}} x d x

Multiply fractions:

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

= \frac{1 \cdot x d x}{e ^{x^{2}}}

Multiply:

1 \cdot x = x

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

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Frequently Asked Questions (FAQ)

What is xe^{-x^2}dx ?
The solution to xe^{-x^2}dx is (xdx)/(e^{x^2)}