What is expand f(3-x)dx^{1/2} ?

The solution to expand f(3-x)dx^{1/2} is dfx^{1/2}*3-dfx^{3/2}

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expand f(3-x)dx^{1/2}

expand

f (3 - x) d x^{\frac{1}{2}}

df x^{\frac{1}{2}} \cdot 3 - df x^{\frac{3}{2}}

Solution steps

f (3 - x) d x^{\frac{1}{2}}

= df x^{\frac{1}{2}} (3 - x)

Apply the distributive law:

a (b - c) = ab - a c

df x^{\frac{1}{2}} (3 - x) = df x^{\frac{1}{2}} \cdot 3 - df x^{\frac{1}{2}} x

= df x^{\frac{1}{2}} \cdot 3 - df x^{\frac{1}{2}} x

Simplify

df x^{\frac{1}{2}} x : df x^{\frac{3}{2}}

= df x^{\frac{1}{2}} \cdot 3 - df x^{\frac{3}{2}}

\frac{1 - e ^{- 3 (s - 3)}}{s - 3} + \frac{e ^{- 3 s}}{s}

\frac{( e ^{- s} + s )}{s ( s - 6 ) ( s + 1 )}

\frac{3 ( 2 + 11 )}{7}

\frac{i}{( 1 + 2 3 i ) ^{5}}

What is expand f(3-x)dx^{1/2} ?
The solution to expand f(3-x)dx^{1/2} is dfx^{1/2}*3-dfx^{3/2}