What is expand (e^{3x}+1)^2dx ?

The solution to expand (e^{3x}+1)^2dx is e^{6x}dx+2e^{3x}dx+dx

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expand (e^{3x}+1)^2dx

expand

(e^{3 x} + 1)^{2} d x

e^{6 x} d x + 2 e^{3 x} d x + d x

Solution steps

(e^{3 x} + 1)^{2} d x

(e^{3 x} + 1)^{2} = e^{6 x} + 2 e^{3 x} + 1

= (e^{6 x} + 2 e^{3 x} + 1) d x

Distribute parentheses

= d x e^{6 x} + d x \cdot 2 e^{3 x} + d x \cdot 1

= e^{6 x} d x + 2 e^{3 x} d x + 1 \cdot d x

Multiply:

1 \cdot d x = d x

= e^{6 x} d x + 2 e^{3 x} d x + d x

\frac{25}{2 ( x - 5 )}

\frac{x y - x}{( x + 1 ) y}

\frac{11 ( 5 19 - 19 )}{6}

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

4 x y^{2} d x + (x^{2} + 1) d y

What is expand (e^{3x}+1)^2dx ?
The solution to expand (e^{3x}+1)^2dx is e^{6x}dx+2e^{3x}dx+dx