What is the integral from 2 to 3 of (x^4-3x+1) ?

The integral from 2 to 3 of (x^4-3x+1) is 357/10

integral from 2 to 3 of (x^4-3x+1)

\int_{2}^{3} (x^{4} - 3 x + 1) d x

\frac{357}{10}

Decimal

35.7

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{2}^{3} x^{4} d x = \frac{211}{5}

\int_{2}^{3} 3 x d x = \frac{15}{2}

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

= \frac{211}{5} - \frac{15}{2} + 1

Simplify

\frac{211}{5} - \frac{15}{2} + 1 : \frac{357}{10}

= \frac{357}{10}

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What is the integral from 2 to 3 of (x^4-3x+1) ?
The integral from 2 to 3 of (x^4-3x+1) is 357/10