What is the integral from 0 to y of 1 ?

The integral from 0 to y of 1 is y

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integral from 0 to y of 1

\int_{0}^{y} 1 d x

y

Solution steps

\int_{0}^{y} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{0}^{y}

Simplify

= [x]_{0}^{y}

Compute the boundaries:

y

= y

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