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ehrenfest
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[SOLVED] limits of integration
I want to substitute x=t^2 in [itex]\int_{-\infty}^{\infty}{\exp(-t^4)} dt[/itex]. What are the new limits of integration? They are both infinity aren't they? But the integral is clearly not zero? Is the problem that the substitution rule only holds for finite limits of integration?
Homework Statement
I want to substitute x=t^2 in [itex]\int_{-\infty}^{\infty}{\exp(-t^4)} dt[/itex]. What are the new limits of integration? They are both infinity aren't they? But the integral is clearly not zero? Is the problem that the substitution rule only holds for finite limits of integration?