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P rov et h a t0<int0^1(x^7dx)/((1+x^8)3)...

`P rov et h a t0

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Since `0lt(x^(7))/(root(3)((1+x^(8))))ltx^(7)AA0ltxlt1,` We have
`int_(0)^(1)0 dx lt int_(0)^(1)(x^(7))/(root(3)((1+x^(8))))dxltint_(0)^(1)x^(7)dx`
Hence `0ltint_(0)^(1)(x^(7)dx)/(root(3)((1+x^(8))))lt1/8`
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