Question: dsolve an indefinite Integral

 

Hello all. Is there any solution for the indefinite integralBadIntegral.mw

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int((B*alpha[1]+(1/8)*`Νu`)*HeunT((1/16)*alpha[1]*(8*B*alpha[1]+`Νu`)*3^(2/3)*(2*alpha[2]+1)^2/(alpha[2]*(alpha[1]*alpha[2]*(8*B*alpha[1]+`Νu`))^(1/3)), 0, (1/2)*alpha[1]*(8*B*alpha[1]+`Νu`)*3^(1/3)/(alpha[1]*alpha[2]*(8*B*alpha[1]+`Νu`))^(2/3), (1/3)*3^(2/3)*(alpha[1]*alpha[2]*(8*B*alpha[1]+`Νu`))^(1/6)*y), y)

int((B*alpha[1]+(1/8)*`Νu`)*HeunT((1/16)*alpha[1]*(8*B*alpha[1]+`Νu`)*3^(2/3)*(2*alpha[2]+1)^2/(alpha[2]*(alpha[1]*alpha[2]*(8*B*alpha[1]+`Νu`))^(1/3)), 0, (1/2)*alpha[1]*(8*B*alpha[1]+`Νu`)*3^(1/3)/(alpha[1]*alpha[2]*(8*B*alpha[1]+`Νu`))^(2/3), (1/3)*3^(2/3)*(alpha[1]*alpha[2]*(8*B*alpha[1]+`Νu`))^(1/6)*y), y)

(1)

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