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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

derivative of f(x)=2e^{-x}derivative of

f (x) = 2 e^{- x}

integral of 4sin^4(x)cos^2(x)

\int 4 sin^{4} (x) cos^{2} (x) d x

taylor 1/(2+5x)taylor

\frac{1}{2 + 5 x}

(dy)/(dx)=y^2-9

\frac{d y}{d x} = y^{2} - 9

derivative of 5x^3+x^2+1/x

\frac{d}{d x} (5 x^{3} + x^{2} + \frac{1}{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