What is the integral from 3 to 1 of 1 ?

The integral from 3 to 1 of 1 is -2

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integral from 3 to 1 of 1

\int_{3}^{1} 1

- 2

Solution steps

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

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

= - \int_{1}^{3} 1 d x

Integral of a constant:

\int a d x = a x

= - [1 \cdot x]_{1}^{3}

Simplify

= - [x]_{1}^{3}

Compute the boundaries:

2

= - 2

\int_{0}^{4} (11 - x) x d x

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

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

\int_{4}^{6} - \frac{3}{x + 2} d x

\int_{1}^{2} \frac{e ^{2 l n (x)}}{x} d x