What is expand (x-4)(ln(3x))dx ?

The solution to expand (x-4)(ln(3x))dx is xln(3x)dx-4ln(3x)dx

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expand (x-4)(ln(3x))dx

expand

(x - 4) (ln (3 x)) d x

x ln (3 x) d x - 4 ln (3 x) d x

Solution steps

(x - 4) (ln (3 x)) d x

= (ln (3 x)) (x - 4) d x

Apply the distributive law:

a (b - c) = ab - a c

a = (ln (3 x)) d x, b = x, c = 4

= (ln (3 x)) d xx - (ln (3 x)) d x \cdot 4

= x (ln (3 x)) d x - 4 (ln (3 x)) d x

Remove parentheses:

(a) = a

= x ln (3 x) d x - 4 ln (3 x) d x

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What is expand (x-4)(ln(3x))dx ?
The solution to expand (x-4)(ln(3x))dx is xln(3x)dx-4ln(3x)dx