What is the integral from-1 to 3 of (5x^4+3x^2) ?

The integral from-1 to 3 of (5x^4+3x^2) is 272

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integral from-1 to 3 of (5x^4+3x^2)

\int_{- 1}^{3} (5 x^{4} + 3 x^{2}) d x

272

Solution steps

\int_{- 1}^{3} 5 x^{4} + 3 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_{- 1}^{3} 5 x^{4} d x + \int_{- 1}^{3} 3 x^{2} d x

\int_{- 1}^{3} 5 x^{4} d x = 244

\int_{- 1}^{3} 3 x^{2} d x = 28

= 244 + 28

Simplify

= 272

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What is the integral from-1 to 3 of (5x^4+3x^2) ?
The integral from-1 to 3 of (5x^4+3x^2) is 272