What was the largest ratio (result size)/(integrand size) you have seen?

Sometimes a definite or indefinite integral of a simple-looking one-liner integrand can give astonishingly huge result. What was the largest ratio of the size of shortest known closed-form result to the size of the corresponding integrand you have seen? I am particularly interested in unexpectedly large results, not those, for example, that occur from an intentionally large exponent in the integrand or otherwise obviously tailored for that purpose.


$\int\ \ln(x+a) \cdot ln(x+b) \cdot ln(x+c)\ dx\ -$ It spews forth a formula almost the size of my entire screen, even with Full Simplify $^{and}/_{or}$ Function Expand activated . . .

$\int\ \sqrt{(x-a)(x-b)(x-c)(x-d)}\ dx\ -$ The same, only that this time its size is about seven full screens of resolution $1366\times768$, even with Simplify on.


The following example I learned from James Davenport (Cambridge UK):

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