What is the integral from 0 to a of 1 ?

The integral from 0 to a of 1 is a

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integral from 0 to a of 1

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

a

Solution steps

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

Integral of a constant:

\int a d x = a x

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

Simplify

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

Compute the boundaries:

a

= a

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\int_{2}^{4} (- x^{2} + 2 x + 8) d x