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Popular >

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

Solution

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

Solution

- 2

Solution steps

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

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

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

= 0 - 2

Simplify

= - 2

Popular Examples

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

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

integral from 0 to 2+y of 1-3z^2

\int_{0}^{2 + y} 1 - 3 z^{2} d z

integral from 1 to 2 of x/(1+x^4)

\int_{1}^{2} \frac{x}{1 + x ^{4}} d x

integral from-a to a of x^2sqrt(a^2-x^2)

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

integral from n to n+1 of 1/(1+x^2)

\int_{n}^{n + 1} \frac{1}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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