What is the integral from 0.5 to 2.5 of x ?

The integral from 0.5 to 2.5 of x is 3

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integral from 0.5 to 2.5 of x

\int_{0.5}^{2.5} x d x

3

Solution steps

\int_{0.5}^{2.5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0.5}^{2.5}

= [\frac{x ^{2}}{2}]_{0.5}^{2.5}

Simplify

= [0.5 x^{2}]_{0.5}^{2.5}

Compute the boundaries:

3

= 3

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\int_{0}^{1} 4 x (1 - y) d x

\int_{- 1}^{1} (3 t - 6) d t

\int_{5}^{x^{2}} \frac{1}{t ^{4}} d t

\int_{0}^{x} 3 t^{2} d t

What is the integral from 0.5 to 2.5 of x ?
The integral from 0.5 to 2.5 of x is 3