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Popular >

integral from 0 to 1 of (1-x^2)

Solution

\int_{0}^{1} (1 - x^{2}) d x

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

\int_{0}^{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_{0}^{1} 1 d x - \int_{0}^{1} x^{2} d x

\int_{0}^{1} 1 d x = 1

\int_{0}^{1} x^{2} d x = \frac{1}{3}

= 1 - \frac{1}{3}

Simplify

1 - \frac{1}{3} : \frac{2}{3}

= \frac{2}{3}

Popular Examples

f(x)=e^{3x}cos(2x)

f (x) = e^{3 x} cos (2 x)

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x \to + 2 lim (2 x + 3)

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t \to + 0 lim (\frac{sin ( 7 t )}{t})

integral of 1/(x^3*\sqrt[5]{1+1/x)}

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (1-x^2) ?
The integral from 0 to 1 of (1-x^2) is 2/3