What is expand (6x^2y+e^yx)dx ?

The solution to expand (6x^2y+e^yx)dx is 6x^2ydx+e^yxdx

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expand (6x^2y+e^yx)dx

expand

(6 x^{2} y + e^{y} x) d x

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

Solution steps

(6 x^{2} y + e^{y} x) d x

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = 6 x^{2} y, c = e^{y} x

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

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

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What is expand (6x^2y+e^yx)dx ?
The solution to expand (6x^2y+e^yx)dx is 6x^2ydx+e^yxdx