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

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

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expand sqrt(x)(x^2-1)dx

expand

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

x^{2} x d x - x d x

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = x d x, b = x^{2}, c = 1

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

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

Multiply:

1 \cdot x = x

= x^{2} x d x - x d x

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

\frac{e ^{t} ( 2 - t )}{( 1 - t ) ^{2}}

e^{x (x - 21)}

lo g_{10} (10000 s)

- (2 x + 8 x - (3 x + 6) - (2 x + 4) = (4 x - 2 - (- 6 x + 2)))

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