What is the integral of (1+sqrt(x))^0 ?

The integral of (1+sqrt(x))^0 is x+C

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integral of (1+sqrt(x))^0

\int (1 + x)^{0} d x

x + C

Solution steps

\int (1 + x)^{0} d x

Simplify

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

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