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Popular Calculus >

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

Solution

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

Solution

- \frac{11}{4}

+1

Decimal

- 2.75

Solution steps

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

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

\int_{- 2}^{- 1} x^{3} d x = - \frac{15}{4}

= 1 - \frac{15}{4}

Simplify

1 - \frac{15}{4} : - \frac{11}{4}

= - \frac{11}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to-1 of 1+x^3 ?
The integral from-2 to-1 of 1+x^3 is -11/4