What is expand sqrt(x)(x^2+3x)dx ?

The solution to expand sqrt(x)(x^2+3x)dx is x^2sqrt(x)dx+3xsqrt(x)dx

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expand sqrt(x)(x^2+3x)dx

expand

x (x^{2} + 3 x) d x

x^{2} x d x + 3 x x d x

Solution steps

x (x^{2} + 3 x) d x

Apply the distributive law:

a (b + c) = ab + a c

a = x d x, b = x^{2}, c = 3 x

= x d x x^{2} + x d x \cdot 3 x

= x^{2} x d x + 3 x x d x

\frac{2.33 x ( 1.2 - 0.6 y )}{1 - 0.4 x}

x + h (x + h)

10 (e^{x} (cos (3 x) + 4 sin (3 x)))

9 + 6 x^{- \frac{1}{2}}

\frac{d}{d a} ((Y (a, b, T)) (a + b (Y (a, b, T) - T)))

What is expand sqrt(x)(x^2+3x)dx ?
The solution to expand sqrt(x)(x^2+3x)dx is x^2sqrt(x)dx+3xsqrt(x)dx