4
$\begingroup$

I have function $f(x)=|\cos(x)|, x≥0$ and like to derive its Laplace transform. I am told that $f(x+\pi)=f(x)$. Help me please.

  • 0
    But You can look at @BabakSorouh answer below.2012-06-14

1 Answers 1

3

Your function is periodic ($T=\pi$) so you can easily use the formula:

$L(f(x))=\frac{1}{1-e^{-sT}}\int_{0}^{T}e^{-sT}f(x)dx$

Note that your function is a piecewise function broken at $\frac{\pi}{2}$.

  • 0
    Nice!! :+) $\quad +1 \quad$2013-03-06