What is expand (1-cos((2pix)/L))dx ?

The solution to expand (1-cos((2pix)/L))dx is dx-cos((2pix)/L)dx

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expand (1-cos((2pix)/L))dx

expand

(1 - cos (\frac{2 π x}{L})) d x

d x - cos (\frac{2 π x}{L}) d x

Solution steps

(1 - cos (\frac{2 π x}{L})) d x

Apply the distributive law:

a (b - c) = ab - a c

a = d x, b = 1, c = cos (\frac{2 π x}{L})

= d x \cdot 1 - d x cos (\frac{2 π x}{L})

= 1 \cdot d x - cos (\frac{2 π x}{L}) d x

Multiply:

1 \cdot d x = d x

= d x - cos (\frac{2 π x}{L}) d x

sin (x π) - sin ((1 - x) π)

\frac{( 5 x ^{2} - 1 ) ^{3}}{30 x}

2 - x ((1 - x) (2 - x))

e^{x + y} (- e^{- x - y} + e^{- x})

\frac{3 ( a + b )}{z + 2 ( a + b )}

What is expand (1-cos((2pix)/L))dx ?
The solution to expand (1-cos((2pix)/L))dx is dx-cos((2pix)/L)dx