What is expand (e^xsin(y)-3x^2)dx ?

The solution to expand (e^xsin(y)-3x^2)dx is e^xsin(y)dx-3x^2dx

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expand (e^xsin(y)-3x^2)dx

expand

(e^{x} sin (y) - 3 x^{2}) d x

e^{x} sin (y) d x - 3 x^{2} d x

Solution steps

(e^{x} sin (y) - 3 x^{2}) d x

Apply the distributive law:

a (b - c) = ab - a c

a = d x, b = e^{x} sin (y), c = 3 x^{2}

= d x e^{x} sin (y) - d x \cdot 3 x^{2}

= e^{x} sin (y) d x - 3 x^{2} d x

(r sin (θ) - 3)^{2}

5 (2^{x} + x)^{4} (2^{x} ln (2) + 1)

(- 1 + 3)^{4}

(3 x^{2} + 6 x y^{2}) d x + (6 x^{2} y + 4 y^{3}) d y

\frac{1}{( t ^{2} - 1 ) ^{2}}

What is expand (e^xsin(y)-3x^2)dx ?
The solution to expand (e^xsin(y)-3x^2)dx is e^xsin(y)dx-3x^2dx