- #1

bancux

- 12

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## Homework Statement

I need to integrate the following function:

[tex]

y = \int e^{-\frac{n}{\omega}cos \omega t} dt

[/tex]

## Homework Equations

How should I solve this? Will this lead me to Bessel function?

**2. My attempt**

[tex]

a=\frac{n}{\omega}

[/tex]

[tex]

u=-a cos (\omega t)

[/tex]

[tex]

du = a\omega sin (\omega t) dt

[/tex]

[tex]

y = \int e^{-\frac{n}{\omega}cos \omega t} dt = \int \frac{1}{a\omega sin(\omega t)} e^u du

[/tex]

[tex]

y = \frac{1}{a\omega sin(\omega t)} \int e^u du

[/tex]

[tex]

y = \frac{1}{a \omega sin (\omega t)} e^u

[/tex]

[tex]

y = \frac{1}{- a \omega sin (\omega t)} e^{-a cos(\omega t)}

[/tex]

Is my solution correct?

Thanks

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