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

The integral from-2 to 2 of (3x^4-2x+1) is 212/5

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

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

\frac{212}{5}

Decimal

42.4

Solution steps

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

\int_{- 2}^{2} 3 x^{4} d x = \frac{192}{5}

\int_{- 2}^{2} 2 x d x = 0

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

= \frac{192}{5} - 0 + 4

Simplify

\frac{192}{5} - 0 + 4 : \frac{212}{5}

= \frac{212}{5}

\int_{- 1}^{1} \frac{1}{v} d v

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\int_{0}^{5} \frac{x}{x ^{2} + 2} d x

\int_{0}^{2} y - \frac{y ^{2}}{4} d y

What is the integral from-2 to 2 of (3x^4-2x+1) ?
The integral from-2 to 2 of (3x^4-2x+1) is 212/5