What is the integral from-1 to 1 of 15x^2-15x^4 ?

The integral from-1 to 1 of 15x^2-15x^4 is 4

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integral from-1 to 1 of 15x^2-15x^4

\int_{- 1}^{1} 15 x^{2} - 15 x^{4} d x

4

Solution steps

\int_{- 1}^{1} 15 x^{2} - 15 x^{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_{- 1}^{1} 15 x^{2} d x - \int_{- 1}^{1} 15 x^{4} d x

\int_{- 1}^{1} 15 x^{2} d x = 10

\int_{- 1}^{1} 15 x^{4} d x = 6

= 10 - 6

Simplify

= 4

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What is the integral from-1 to 1 of 15x^2-15x^4 ?
The integral from-1 to 1 of 15x^2-15x^4 is 4