Find the indefinite integral of x*(5x−1)^(19) by substitution

Camila Brandt 2022-09-23 Answered
Find the indefinite integral of $x×\left(5x-1{\right)}^{19}$ by substitution
My try:
$u=5x-1$, so $\frac{du}{dx}=5$, thus $dx=\frac{du}{5}$
How to cancel out the $x$ in front?
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Answers (1)

Marvin Hughes
Answered 2022-09-24 Author has 6 answers
To complete that substitution, write $u=5x-1$ so thgat $u+1=5x$ and hence
$x=\frac{u+1}{5}$
That gives you
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