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Popular >

simplify x^5e^{-x^3}dx

Solution

simplify

x^{5} e^{- x^{3}} d x

Solution

\frac{x ^{5} d x}{e ^{x^{3}}}

Solution steps

x^{5} e^{- x^{3}} d x

Apply exponent rule:

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

= \frac{1}{e ^{x^{3}}} x^{5} d x

Multiply fractions:

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

= \frac{1 \cdot x ^{5} d x}{e ^{x^{3}}}

Multiply:

1 \cdot x^{5} = x^{5}

= \frac{x ^{5} d x}{e ^{x^{3}}}

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Frequently Asked Questions (FAQ)

What is x^5e^{-x^3}dx ?
The solution to x^5e^{-x^3}dx is (x^5dx)/(e^{x^3)}