Question

Identify a good first step when integrating ∫x3+4​/3x2 dx a) Split the integrand into two fractions.

Answer 1

a)

Explanation:

we don't see any other options, but yes, exactly that a) option.

∫(x³+4)/3x² dx = ∫x³/3x² dx + ∫4/3x² dx =

= ∫x/3 dx + ∫4/3x² dx

from there we can go to

⅓×∫x dx + 4/3 × ∫1/x² dx = ⅓×∫x dx + 4/3 × ∫1/x × 1/x dx

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