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Popular >

integral from-1 to 1 of 8x^2-1

Solution

\int_{- 1}^{1} 8 x^{2} - 1 d x

Solution

\frac{10}{3}

+1

Decimal Notation

3.33333 \dots

Solution steps

\int_{- 1}^{1} 8 x^{2} - 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} 8 x^{2} d x - \int_{- 1}^{1} 1 d x

\int_{- 1}^{1} 8 x^{2} d x = \frac{16}{3}

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

= \frac{16}{3} - 2

Simplify

\frac{16}{3} - 2 : \frac{10}{3}

= \frac{10}{3}

Popular Examples

integral from 0 to 1 of 7tcosh(t)

\int_{0}^{1} 7 t cosh (t) d t

integral from 0 to 1 of (x+\sqrt[4]{x})

integral from 0 to 2 of-2x^2sqrt(2x-x^2)

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

integral from 0 to y of sin(y)

\int_{0}^{y} sin (y) d y

integral from 1 to 3 of x/(x^4+1)

\int_{1}^{3} \frac{x}{x ^{4} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 8x^2-1 ?
The integral from-1 to 1 of 8x^2-1 is 10/3