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int (1+sqrt(x))/(1+4sqrt(x))dx=(4)/(5)x^...

`int (1+sqrt(x))/(1+4sqrt(x))dx=(4)/(5)x^((5)/(4))-x+(8)/(3)x^((3)/(4))-4x^((1)/(2))+8x^((1)/(4))-8 log|x^((1)/(4))+1|+c`

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