What is e^{-3y}cos(pix)dx ?

The solution to e^{-3y}cos(pix)dx is (cos(pix)dx)/(e^{3y)}

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simplify e^{-3y}cos(pix)dx

simplify

e^{- 3 y} cos (π x) d x

\frac{cos ( π x ) d x}{e ^{3 y}}

Solution steps

e^{- 3 y} cos (π x) d x

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{3 y}} cos (π x) d x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot cos ( π x ) d x}{e ^{3 y}}

Multiply:

1 \cdot cos (π x) = cos (π x)

= \frac{cos ( π x ) d x}{e ^{3 y}}

\frac{e ^{4 x}}{e ^{- 2 x}}

2 x + 1 \cdot x - 1

e^{- x} (1 + e^{x})

6.12 \cdot 1 0^{- 5}

2.535218256 \cdot 1 0^{- 6} (100)

What is e^{-3y}cos(pix)dx ?
The solution to e^{-3y}cos(pix)dx is (cos(pix)dx)/(e^{3y)}