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

The integral from-1 to 3 of (3x^2+5x-1) is 44

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

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

44

Solution steps

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

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

\int_{- 1}^{3} 5 x d x = 20

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

= 28 + 20 - 4

Simplify

= 44

What is the integral from-1 to 3 of (3x^2+5x-1) ?
The integral from-1 to 3 of (3x^2+5x-1) is 44