int(0)^(1)(x^(4)(1-x)^(4))/(1+x^(3))dx...

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

int(0)^(1)(x^(4)(1-x)^(4))/(1+x^(3))dx
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int(0)^(4)(|x-1|+|x-2|+|x-3|)dx=
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Show :(2)/(ln3)<int(0)^(1)3^((1)/(x))dx<int(0)^(1)4^((1)/(x))dx
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int(0)^(1)(x^(3))/(sqrt(1+8x^(4)))dx
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int(1)^(4)(dx)/(x^((1)/(3)))
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int(0)^(1)x(1-x)^(4)dx=(1)/(30)
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int(0)^(4)(|x-1|+|x-3|)dx
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int(0)^(1)x^(3)sqrt(1+3x^(4))dx
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int(1)^(4)(|x-1|+|x-2|+|x-3|)dx
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