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Popular >

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

Solution

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

Solution

2

Solution steps

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

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

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

= 2 - 0

Simplify

= 2

Graph

Popular Examples

integral from 0 to a of x^3

\int_{0}^{a} x^{3} d x

integral from-4 to 2 of x^2

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

integral from 1 to 64 of \sqrt[3]{y}

\int_{1}^{64} 3 y d y

integral from-pi/2 to pi/2 of cos^3(θ)

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos^{3} (θ) d θ

integral from 0 to 1 of (x^2+10x)

\int_{0}^{1} (x^{2} + 10 x) d x

Frequently Asked Questions (FAQ)

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