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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

= 2 - \frac{2}{3}

Simplify

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

= \frac{4}{3}

Popular Examples

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\int cos (4 x + 2) d x

(\partial)/(\partial x)(10r^2sin(2x))

\frac{\partial}{\partial x} (10 r^{2} sin (2 x))

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\int (2 x^{2} - 6 x) e^{2 x} d x

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\frac{d}{d x} (\frac{x ^{4}}{4} - \frac{x ^{3}}{3} - 3 x^{2} + 4)

Frequently Asked Questions (FAQ)

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