What is the integral from 0 to x of 1/2 ?

The integral from 0 to x of 1/2 is x/2

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integral from 0 to x of 1/2

\int_{0}^{x} \frac{1}{2} d x

\frac{x}{2}

Solution steps

\int_{0}^{x} \frac{1}{2} d x

Integral of a constant:

\int a d x = a x

= [\frac{1}{2} x]_{0}^{x}

Compute the boundaries:

\frac{1}{2} x

= \frac{1}{2} x

Simplify

= \frac{x}{2}

\int_{1}^{2} (- 2 x^{2} + 5 x - 4) d x

\int_{1}^{2} (4 x - 2)^{3} d x

\int_{0}^{4} t (4 - t) d t

\int_{0}^{1} 2 x - x^{2} - x^{3} d x

\int_{- 1}^{4} 2 x + 1 d x

What is the integral from 0 to x of 1/2 ?
The integral from 0 to x of 1/2 is x/2