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Popular >

integral from-1 to 1 of y^2-1

Solution

\int_{- 1}^{1} y^{2} - 1 d y

Solution

- \frac{4}{3}

+1

Decimal

- 1.33333 \dots

Solution steps

\int_{- 1}^{1} y^{2} - 1 d y

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} y^{2} d y - \int_{- 1}^{1} 1 d y

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

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

= \frac{2}{3} - 2

Simplify

\frac{2}{3} - 2 : - \frac{4}{3}

= - \frac{4}{3}

Graph

Popular Examples

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

\int_{- 5}^{5} \frac{1}{x ^{3}} d x

integral from 4 to 20 of sqrt(x+5)

\int_{4}^{20} x + 5 d x

integral from-1 to 2 of e^{u+1}

\int_{- 1}^{2} e^{u + 1} d u

integral from 0 to 4 of (x^2+4)

\int_{0}^{4} (x^{2} + 4) d x

integral from 2 to 4 of pi(-x^2+6x-8)^2

\int_{2}^{4} π (- x^{2} + 6 x - 8)^{2} d x

Frequently Asked Questions (FAQ)

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