What is the integral from 2 to 1 of 1x^5 ?

The integral from 2 to 1 of 1x^5 is -21/2

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integral from 2 to 1 of 1x^5

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

- \frac{21}{2}

Decimal

- 10.5

Solution steps

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

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

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

Simplify

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

Apply the Power Rule

: [\frac{x ^{6}}{6}]_{1}^{2}

= - [\frac{x ^{6}}{6}]_{1}^{2}

Compute the boundaries:

\frac{21}{2}

= - \frac{21}{2}

\int_{1}^{5} (\frac{1}{2 x - 1}) d x

\int_{0}^{x} ln (1 + t^{3}) d t

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

\int_{3}^{5} sin (ln (x)) d x

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

What is the integral from 2 to 1 of 1x^5 ?
The integral from 2 to 1 of 1x^5 is -21/2