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Popular Calculus >

integral from-1 to 4 of 3x^2-x

Solution

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

Solution

\frac{115}{2}

+1

Decimal

57.5

Solution steps

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

\int_{- 1}^{4} 3 x^{2} d x = 65

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

= 65 - \frac{15}{2}

Simplify

65 - \frac{15}{2} : \frac{115}{2}

= \frac{115}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 4 of 3x^2-x ?
The integral from-1 to 4 of 3x^2-x is 115/2