What is expand (6x^2+7ysin(2x))dx ?

The solution to expand (6x^2+7ysin(2x))dx is 6x^2dx+7ysin(2x)dx

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expand (6x^2+7ysin(2x))dx

expand

(6 x^{2} + 7 y sin (2 x)) d x

6 x^{2} d x + 7 y sin (2 x) d x

Solution steps

(6 x^{2} + 7 y sin (2 x)) d x

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = 6 x^{2}, c = 7 y sin (2 x)

= d x \cdot 6 x^{2} + d x \cdot 7 y sin (2 x)

= 6 x^{2} d x + 7 y sin (2 x) d x

e^{x} (e^{2 x} - e^{x})

\frac{d}{d t} ((x) (5 t + e^{- t}))

\frac{2 s ( s + 1 )}{s ^{2} + 52 s + 1}

\frac{6}{5 ( x - 6 )}

π (1 - \frac{x}{3})^{2}

What is expand (6x^2+7ysin(2x))dx ?
The solution to expand (6x^2+7ysin(2x))dx is 6x^2dx+7ysin(2x)dx