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

The integral from-4 to 4 of (-3x^4+1) is -6104/5

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

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

- \frac{6104}{5}

Decimal Notation

- 1220.8

Solution steps

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

\int_{- 4}^{4} 3 x^{4} d x = \frac{6144}{5}

\int_{- 4}^{4} 1 d x = 8

= - \frac{6144}{5} + 8

Simplify

- \frac{6144}{5} + 8 : - \frac{6104}{5}

= - \frac{6104}{5}

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What is the integral from-4 to 4 of (-3x^4+1) ?
The integral from-4 to 4 of (-3x^4+1) is -6104/5