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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

= \frac{16}{3} - 4

Simplify

\frac{16}{3} - 4 : \frac{4}{3}

= \frac{4}{3}

Popular Examples

limit as x approaches-5 of x^2-5

x \to - 5 lim (x^{2} - 5)

limit as x approaches 4 of (3x^2-8x-16)/(2x^2-9x+4)

x \to 4 lim (\frac{3 x ^{2} - 8 x - 16}{2 x ^{2} - 9 x + 4})

(\partial)/(\partial x)(e^{x+y}(x-1)(y-2))

\frac{\partial}{\partial x} (e^{x + y} (x - 1) (y - 2))

inverse oflaplace (s+1)/((s+1)^2+4)inverse laplace

\frac{s + 1}{( s + 1 ) ^{2} + 4}

integral of x^2sqrt(4x+8)

\int x^{2} 4 x + 8 d x

Frequently Asked Questions (FAQ)

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