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Popular Calculus >

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

Solution

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

Solution

4

Solution steps

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

\int_{- 2}^{2} x^{3} d x = 0

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

= 0 + 4

Simplify

= 4

Graph

Popular Examples

integral from-6 to 0 of x

\int_{- 6}^{0} x d x

integral from-2 to 1 of (-y^2-y+2)

\int_{- 2}^{1} (- y^{2} - y + 2) d y

integral from 1 to 2 of xcos(x)

\int_{1}^{2} x cos (x) d x

integral from 0 to 4 of 5e^x

\int_{0}^{4} 5 e^{x} d x

integral from-pi/2 to pi/2 of cos^2(t)

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos^{2} (t) d t

Frequently Asked Questions (FAQ)

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