the integration from 0 to 1 of 108t^9 * sqrt(1+36t^2 + 324t^4) dt thank you very much.
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Actually, this looks nastier than it is. Factor what's inside the radical: $\displaystyle 324t^{4}+36t^{2}+1=(18t^{2}+1)^{2}$ Then you have: $\displaystyle \int{108t^{9}(18t^{2}+1)}dt$ $\displaystyle \int{[1944t^{11}+108t^{9}]}dt$
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