Evaluate of each of the following integrals (1-15): `int_0^5root(3)(x+4)/(root(3)(x+4) +root(3)(9-x)dx`

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int root(3)(x)dx

1. int root(3)(x)dx

int(dx)/(root(3)(x)+root(4)(x))

int(root(3)(x))(root(5)(1+root(3)(x^(4))))dx

int(dx)/(1+root(3)(1+x))

int(1)/(root(3)(x))dx

Evaluate the following integrals : (a) int ( root( 3) (1+ "In" x) )/( x) dx ,

int(root(3)x ^(2)+root(4)x+root(3)x)/(sqrtx)dx=

int(1)/(root(3)(x^(2)))dx