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

The integral from-1 to 3 of (3x^2-2x+1) is 24

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

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

24

Solution steps

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

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

\int_{- 1}^{3} 2 x d x = 8

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

= 28 - 8 + 4

Simplify

= 24

\frac{3}{s ^{2} - 1}

x \to + (- 2) lim (- 2)

\frac{d}{d x} (e^{x^{\frac{1}{3}}})

\int_{2}^{3} \frac{35}{3 - x} d x

(s^{6} + \frac{1}{s})^{\frac{5}{2}}

What is the integral from-1 to 3 of (3x^2-2x+1) ?
The integral from-1 to 3 of (3x^2-2x+1) is 24