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Integrating an integral

Hi community.

I'm interested in manipulating a formal expression

$$\int \mathrm{d}t \; e^{- 2 \int \mathrm{d}t \; h(t)}.$$

My notebook contains the following code

var('t')
h = function('h')(t)
integrate(exp(integrate(-2*h,t)),t)

but the result is +Infinity.

QUESTION(S):

  • Why I am getting a result if the function h is not explicit?
  • Where does the +Infinity come from?
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Integrating an integral

Hi community.

I'm interested in manipulating a formal expression

$$\int \mathrm{d}t \; e^{- 2 \int \mathrm{d}t \; h(t)}.$$

My notebook contains the following code

var('t')
h = function('h')(t)
integrate(exp(integrate(-2*h,t)),t)

but the result is +Infinity.

QUESTION(S):

  • Why I am getting a result if the function h is not explicit?
  • Where does the +Infinity come from?