What is the integral from 2 to 3 of x^4+4x-6 ?

The integral from 2 to 3 of x^4+4x-6 is 231/5

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integral from 2 to 3 of x^4+4x-6

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

\frac{231}{5}

Decimal

46.2

Solution steps

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

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

\int_{2}^{3} 4 x d x = 10

\int_{2}^{3} 6 d x = 6

= \frac{211}{5} + 10 - 6

Simplify

\frac{211}{5} + 10 - 6 : \frac{231}{5}

= \frac{231}{5}

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What is the integral from 2 to 3 of x^4+4x-6 ?
The integral from 2 to 3 of x^4+4x-6 is 231/5