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

The integral from 2 to 3 of x^4+3x^2+4 is 326/5

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

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

\frac{326}{5}

Decimal

65.2

Solution steps

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

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

\int_{2}^{3} 3 x^{2} d x = 19

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

= \frac{211}{5} + 19 + 4

Simplify

\frac{211}{5} + 19 + 4 : \frac{326}{5}

= \frac{326}{5}

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What is the integral from 2 to 3 of x^4+3x^2+4 ?
The integral from 2 to 3 of x^4+3x^2+4 is 326/5