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\intop\nolimits_{a}^{b}f(x)^{dx}=e^{
\intop\nolimits_{a}^{b}ln[f(x)]dx}
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\intop\nolimits_{a}^{b} f(x)^{ dx } = e^{ \intop\nolimits_{a}^{b} ln[f(x)] dx }