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Popular Calculus >

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

Solution

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

Solution

4

Solution steps

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

\int_{- 1}^{1} x^{3} d x = 0

\int_{- 1}^{1} x d x = 0

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

= 0 + 0 + 4

Simplify

= 4

Graph

Popular Examples

integral from 0 to 8 of t^3-10t^2+24t

\int_{0}^{8} t^{3} - 10 t^{2} + 24 t d t

integral from 0 to (3pi)/2 of 2sin(x)

\int_{0}^{\frac{3 π}{2}} 2 sin (x) d x

integral from 2 to 5 of cos(x)+e^x-2x

\int_{2}^{5} cos (x) + e^{x} - 2 x d x

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

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

integral from 5 to 5 of 1

\int_{5}^{5} 1

Frequently Asked Questions (FAQ)

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