What is e^{ln(x)}x^2e^{x^4}dx ?

The solution to e^{ln(x)}x^2e^{x^4}dx is e^{x^4}x^3dx

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simplify e^{ln(x)}x^2e^{x^4}dx

simplify

e^{l n (x)} x^{2} e^{x^{4}} d x

e^{x^{4}} x^{3} d x

Solution steps

e^{l n (x)} x^{2} e^{x^{4}} d x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{l n (x)} e^{x^{4}} = e^{l n (x) + x^{4}}

= x^{2} e^{l n (x) + x^{4}} d x

e^{l n (x) + x^{4}} = e^{x^{4}} x

= e^{x^{4}} x^{2} x d x

Simplify

= e^{x^{4}} x^{3} d x

\frac{1 0 ^{x}}{x ^{x}}

3.05 \cdot 1 0^{- 22}

p ro d u c t os (8 a - e)^{2}

4 e^{- 2 t} u (t)

e^{- 2 (l n (\frac{1}{2}))}

What is e^{ln(x)}x^2e^{x^4}dx ?
The solution to e^{ln(x)}x^2e^{x^4}dx is e^{x^4}x^3dx