What is the integral from-3 to 3 of 3x^4-8x^2 ?

The integral from-3 to 3 of 3x^4-8x^2 is 738/5

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integral from-3 to 3 of 3x^4-8x^2

\int_{- 3}^{3} 3 x^{4} - 8 x^{2} d x

\frac{738}{5}

Decimal Notation

147.6

Solution steps

\int_{- 3}^{3} 3 x^{4} - 8 x^{2} 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_{- 3}^{3} 3 x^{4} d x - \int_{- 3}^{3} 8 x^{2} d x

\int_{- 3}^{3} 3 x^{4} d x = \frac{1458}{5}

\int_{- 3}^{3} 8 x^{2} d x = 144

= \frac{1458}{5} - 144

Simplify

\frac{1458}{5} - 144 : \frac{738}{5}

= \frac{738}{5}

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What is the integral from-3 to 3 of 3x^4-8x^2 ?
The integral from-3 to 3 of 3x^4-8x^2 is 738/5