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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Solution steps

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

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

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

= - \frac{2}{3} + 2

Simplify

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

= \frac{4}{3}

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Frequently Asked Questions (FAQ)

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