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47.int(0)^(1)x^(3)sqrt(1+3x^(4))dx...

47.int_(0)^(1)x^(3)sqrt(1+3x^(4))dx

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int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(0)^(1)x^(4)sqrt(x^(5)+1)dx

(1) int_(0)^(1)(x^(3))/(sqrt(x^(4)+1))dx

int_(0)^(1)(x^(3))/(sqrt(1+8x^(4)))dx

int_(0)^(1)(dx)/(3sqrt(x))

int_(0)^(1)(4x^(3))/(sqrt(1-x^(8)))dx=

int_(0)^(1)(x^(4))/(sqrt(1-x^(5)))dx

If I=int_(0)^(1) (dx)/(sqrt(1+x^(4)))dx then