求不定积分∫3t·根号下开三次方[2(t^2)-1] dt

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求不定积分∫3t·根号下开三次方[2(t^2)-1]dt求不定积分∫3t·根号下开三次方[2(t^2)-1]dt求不定积分∫3t·根号下开三次方[2(t^2)-1]dt∫3t·³√(2t&#

求不定积分∫3t·根号下开三次方[2(t^2)-1] dt
求不定积分∫3t·根号下开三次方[2(t^2)-1] dt

求不定积分∫3t·根号下开三次方[2(t^2)-1] dt

∫3t·³√(2t²-1) dt
=3∫t·³√(2t²-1) dt
=3/4·∫³√(2t²-1) d(2t²-1)
=3/4×3/4×(2t²-1)^(3/4)+C
=9/16·(2t²-1)^(3/4)+C

口字不太明白是分号? 目测是换元法.