What is the integral from 0 to 1 of 15x^2-15x^4 ?

The integral from 0 to 1 of 15x^2-15x^4 is 2

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integral from 0 to 1 of 15x^2-15x^4

\int_{0}^{1} 15 x^{2} - 15 x^{4} d x

2

Solution steps

\int_{0}^{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_{0}^{1} 15 x^{2} d x - \int_{0}^{1} 15 x^{4} d x

\int_{0}^{1} 15 x^{2} d x = 5

\int_{0}^{1} 15 x^{4} d x = 3

= 5 - 3

Simplify

= 2

What is the integral from 0 to 1 of 15x^2-15x^4 ?
The integral from 0 to 1 of 15x^2-15x^4 is 2