What is the integral from 5 to 2 of 1 ?

The integral from 5 to 2 of 1 is -3

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integral from 5 to 2 of 1

\int_{5}^{2} 1

- 3

Solution steps

\int_{5}^{2} 1 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{2}^{5} 1 d x

Integral of a constant:

\int a d x = a x

= - [1 \cdot x]_{2}^{5}

Simplify

= - [x]_{2}^{5}

Compute the boundaries:

3

= - 3

\int_{- 2}^{- 1} \frac{x - 1}{2 x ^{2} + 8 x} d x

\int_{0}^{\frac{9}{8}} \frac{1}{64 x ^{2} + 81} d x

\int_{0}^{1} \frac{2}{( x - 1 ) ^{2}} d x

\int_{0}^{1} 16 x^{2} + 1 d x

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