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Popular Calculus >

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

Solution

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

Solution

- \frac{27}{4}

+1

Decimal

- 6.75

Solution steps

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

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

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

= - \frac{15}{4} - 3

Simplify

- \frac{15}{4} - 3 : - \frac{27}{4}

= - \frac{27}{4}

Graph

Popular Examples

integral from-1 to 1 of e^x+e^{-x}

\int_{- 1}^{1} e^{x} + e^{- x} d x

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\int_{- h}^{h} (y^{2} - h^{2}) d y

integral from 0 to 2 of rsqrt(16-r^2)

\int_{0}^{2} r 16 - r^{2} d r

integral from 1 to 4 of (3sqrt(x))

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

integral from 4 to 0 of (2x^5+3x^4-2x^3)

\int_{4}^{0} (2 x^{5} + 3 x^{4} - 2 x^{3}) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x^3+2x ?
The integral from-2 to 1 of x^3+2x is -27/4