`int_0^1 root(3)(1 + 7x) dx` Evaluate the definite integral.

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Given `int_0^1root(3)(1+7x)dx`

Integrate using the u-substitution method.

Let `u=1+7x`






`=1/7*u^(4/3)/(4/3)`  Evaluated from x=0 to x=1.

`=1/7*3/4*(1+7x)^(4/3)` Evaluated from x=0 to x=1.

`=3/28 [(1+7*1)^(4/3)-(1+7*0)^(4/3)]`







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