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Popular >

integral from-1 to 1 of (x^2-4)

Solution

\int_{- 1}^{1} (x^{2} - 4) d x

Solution

- \frac{22}{3}

+1

Decimal Notation

- 7.33333 \dots

Solution steps

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

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

\int_{- 1}^{1} 4 d x = 8

= \frac{2}{3} - 8

Simplify

\frac{2}{3} - 8 : - \frac{22}{3}

= - \frac{22}{3}

Popular Examples

integral from 3 to infinity of 1/(ln(x))

\int_{3}^{\infty} \frac{1}{ln ( x )} d x

integral from-1 to 3 of (-x^3-5x+1)

\int_{- 1}^{3} (- x^{3} - 5 x + 1) d x

integral from 1 to 2 of (ln(4x))^2

\int_{1}^{2} (ln (4 x))^{2} d x

integral from 0 to 1 of (x^4+5)^3x^3

\int_{0}^{1} (x^{4} + 5)^{3} x^{3} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (x^2-4) ?
The integral from-1 to 1 of (x^2-4) is -22/3