What is expand (1-1/(e^{0.4x)})dx ?

The solution to expand (1-1/(e^{0.4x)})dx is dx-(dx)/(e^{0.4x)}

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expand (1-1/(e^{0.4x)})dx

expand

(1 - \frac{1}{e ^{0.4 x}}) d x

d x - \frac{d x}{e ^{0.4 x}}

Solution steps

(1 - \frac{1}{e ^{0.4 x}}) d x

Apply the distributive law:

a (b - c) = ab - a c

a = d x, b = 1, c = \frac{1}{e ^{0.4 x}}

= d x \cdot 1 - d x \frac{1}{e ^{0.4 x}}

= 1 \cdot d x - \frac{1}{e ^{0.4 x}} d x

Simplify

1 \cdot d x - \frac{1}{e ^{0.4 x}} d x : d x - \frac{d x}{e ^{0.4 x}}

= d x - \frac{d x}{e ^{0.4 x}}

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What is expand (1-1/(e^{0.4x)})dx ?
The solution to expand (1-1/(e^{0.4x)})dx is dx-(dx)/(e^{0.4x)}