What is expand (2x+7)e^{2x}dx ?

The solution to expand (2x+7)e^{2x}dx is 2e^{2x}xdx+7e^{2x}dx

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expand (2x+7)e^{2x}dx

expand

(2 x + 7) e^{2 x} d x

2 e^{2 x} x d x + 7 e^{2 x} d x

Solution steps

(2 x + 7) e^{2 x} d x

= e^{2 x} (2 x + 7) d x

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 x} d x, b = 2 x, c = 7

= e^{2 x} d x \cdot 2 x + e^{2 x} d x \cdot 7

= 2 e^{2 x} x d x + 7 e^{2 x} d x

\frac{10 ( X - 1 )}{X ^{2}}

\frac{6 s + 9}{( 2 ( s + 1 ) ( s - 1 ) ( s + 2 ) )}

\frac{- \frac{16}{5}}{t + 3} - \frac{\frac{11}{5}}{t - 2}

8 (e^{\frac{x ^{2} - 7}{7}} - 3)

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

What is expand (2x+7)e^{2x}dx ?
The solution to expand (2x+7)e^{2x}dx is 2e^{2x}xdx+7e^{2x}dx