Mathematics, 29.10.2021 23:10 anabellabenzaquen

How does this substitution rule in calculus work? $\int\limits^ {}_{} {\frac{ln^{2}y}{5y+6yln^{3}y}} \, dy$
how can we use the substitution rule here to get u = ln^3 y
and du = ((3ln^2 y)/y) dy
so how do we get from the first equation to:

$\int\limits^ {}_{} {\frac{1}{3(5+6u)} \, du$

Answers: 1

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How does this substitution rule in calculus work? how can we use the substitution rule here to get u = ln^3 y and du = ((3ln^2 y)/y) dy so how do we get from the first equation to:

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How does this substitution rule in calculus work? $\int\limits^ {}_{} {\frac{ln^{2}y}{5y+6yln^{3}y}} \, dy$
how can we use the substitution rule here to get u = ln^3 y
and du = ((3ln^2 y)/y) dy
so how do we get from the first equation to: