What is the integral from 0 to x of 1/3 ?

The integral from 0 to x of 1/3 is x/3

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integral from 0 to x of 1/3

\int_{0}^{x} \frac{1}{3} d x

\frac{x}{3}

Solution steps

\int_{0}^{x} \frac{1}{3} d x

Integral of a constant:

\int a d x = a x

= [\frac{1}{3} x]_{0}^{x}

Compute the boundaries:

\frac{1}{3} x

= \frac{1}{3} x

Simplify

= \frac{x}{3}

\int_{0}^{0.5} 2 x + 3 - x e^{3 x} d x

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\int_{- 4}^{5} (25 - x^{2}) - (5 - x) d x

\int_{0}^{12} π (1 + \frac{x}{3})^{2} d x

\int_{0}^{1} \frac{x}{x ^{2} + 4} d x

What is the integral from 0 to x of 1/3 ?
The integral from 0 to x of 1/3 is x/3