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a definite integral

• To: mathgroup at smc.vnet.net
• Subject: [mg74316] a definite integral
• From: "dimitris" <dimmechan at yahoo.com>
• Date: Sun, 18 Mar 2007 00:49:37 -0500 (EST)

Mathematica evaluates correctly the following integral:

ff = HoldForm[Integrate[Sin[x^3]*Log[x], {x, 0, 1}]]

ff//ReleaseHold
{N@%,ff/.Integrate[x___]\[RuleDelayed]NIntegrate[x]//ReleaseHold}

(-(1/16))*HypergeometricPFQ[{2/3, 2/3}, {3/2, 5/3, 5/3}, -(1/4)]

{-0.060865478966467726, -0.06086547896286495}

However...

Integrate[Sin[x^3]*Log[x + 5], {x, 0, 1}]
Integrate[Sin[x^3]*Log[x + 5], {x, 0, 1}]

Any ideas about evaluating symbolically previous integral?

Thanks in advance!

Dimitris