What is expand x^2(ln(x+2)-1)dx ?

The solution to expand x^2(ln(x+2)-1)dx is x^2ln(x+2)dx-x^2dx

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expand x^2(ln(x+2)-1)dx

expand

x^{2} (ln (x + 2) - 1) d x

x^{2} ln (x + 2) d x - x^{2} d x

Solution steps

x^{2} (ln (x + 2) - 1) d x

Apply the distributive law:

a (b - c) = ab - a c

a = x^{2} d x, b = ln (x + 2), c = 1

= x^{2} d x ln (x + 2) - x^{2} d x \cdot 1

= x^{2} ln (x + 2) d x - 1 \cdot x^{2} d x

Multiply:

1 \cdot x^{2} = x^{2}

= x^{2} ln (x + 2) d x - x^{2} d x

\frac{4}{x ( x + 2 )}

(x - 8 - 5) (x - 8 + 5)

(1 - sec (x))^{2}

\frac{2 x ^{2} + 2 x + 13}{( x - 2 ) ( x ^{2} + 1 ) ^{2}}

\frac{s ^{2} + 7}{( s - 2 ) ^{2} ( s ^{2} + 10 s + 50 )}

What is expand x^2(ln(x+2)-1)dx ?
The solution to expand x^2(ln(x+2)-1)dx is x^2ln(x+2)dx-x^2dx