anonymous
  • anonymous
please solve this(it is from Laplace transformation) showing STEPS: integrate((e^(-st))*t^(-1/2))dt from 0 to infinity The answer given in the book is sqrt(pi/s)
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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amistre64
  • amistre64
you do an integration by parts i believe
.Sam.
  • .Sam.
From wolfram ,\[\int\limits_0^{\infty } e^{-s t} \frac{1}{\sqrt{t}} \, dt=\frac{\sqrt{\pi }}{\sqrt{s}} \text{for} ~\Re(s)>0\]
amistre64
  • amistre64
there are tables of laplace transforms that might be useful for this as well

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anonymous
  • anonymous
from wolframalpha i got the answer as sqrt(pi/s) but i want to know the steps as knowing how to solve a problem is important to me. thanks

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