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Popular >

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

Solution

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

Solution

0

Solution steps

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

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

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

= \frac{2}{3} - \frac{2}{3}

Simplify

= 0

Graph

Popular Examples

integral from 10 to infinity of 1/(x^3)

\int_{10}^{\infty} \frac{1}{x ^{3}} d x

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

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

integral from 1 to 4 of t^2-2t-8

\int_{1}^{4} t^{2} - 2 t - 8 d t

integral from pi to 2pi of sin(2x)

\int_{π}^{2 π} sin (2 x) d x

integral from 0 to 4 of 1/(2+sqrt(x))

\int_{0}^{4} \frac{1}{2 + x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^2-1/3 ?
The integral from-1 to 1 of x^2-1/3 is 0