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f(x)=int(0)^(2)(sqrt(1+x^(3))+root(3)(x^...

f(x)=int_(0)^(2)(sqrt(1+x^(3))+root(3)(x^(2)+2x))dx

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int((sqrt(x)+root(3)(x^(2)))^(2))/x dx=

int((sqrt(x)+root(3)(x^(2)))^(2))/x dx=

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

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

int_(0)^(2)(3^(sqrt(x)))/(sqrt(x))dx

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

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

Find the value of int_(0)^(1)3sqrt(2x^(3)-3x^(2)-x+1)dx .

Let f(x),=int(x^(2))/((1+x^(2))(1+sqrt(1+x^(2))))dx and f(0),=0 then f(1) is