What is the integral from 3 to 2 of 1 ?

The integral from 3 to 2 of 1 is -1

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integral from 3 to 2 of 1

\int_{3}^{2} 1

- 1

Solution steps

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

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

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

Integral of a constant:

\int a d x = a x

= - [1 \cdot x]_{2}^{3}

Simplify

= - [x]_{2}^{3}

Compute the boundaries:

1

= - 1

\int_{\frac{1}{2}}^{1} (x^{- 3} - 15) d x

\int_{0}^{5} x + 3 d x

\int_{0}^{1} 3 - 4 x^{2} + 3 x^{\frac{3}{4}} d x

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

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