What is expand (2xy-sec^2(x))dx ?

The solution to expand (2xy-sec^2(x))dx is 2xydx-sec^2(x)dx

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expand (2xy-sec^2(x))dx

expand

(2 x y - sec^{2} (x)) d x

2 x y d x - sec^{2} (x) d x

Solution steps

(2 x y - sec^{2} (x)) d x

Apply the distributive law:

a (b - c) = ab - a c

a = d x, b = 2 x y, c = sec^{2} (x)

= d x \cdot 2 x y - d x sec^{2} (x)

= 2 x y d x - sec^{2} (x) d x

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What is expand (2xy-sec^2(x))dx ?
The solution to expand (2xy-sec^2(x))dx is 2xydx-sec^2(x)dx