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Popular >

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

Solution

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

Solution

- \frac{4}{3}

+1

Decimal Notation

- 1.33333 \dots

Solution steps

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

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= 1 - \frac{7}{3}

Simplify

1 - \frac{7}{3} : - \frac{4}{3}

= - \frac{4}{3}

Popular Examples

integral from 0 to pi of sin^4(t)

\int_{0}^{π} sin^{4} (t) d t

integral from-1 to 0 of 3t^2e^{(-t^3+1)}

\int_{- 1}^{0} 3 t^{2} e^{(- t^{3} + 1)} d t

integral from-1 to 1 of x-2

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

integral from 5 to 10 of (5x-2)/(x^2-4)

\int_{5}^{10} \frac{5 x - 2}{x ^{2} - 4} d x

integral from-2 to 1 of (5z^2-7z+z)

\int_{- 2}^{1} (5 z^{2} - 7 z + z) d z

Frequently Asked Questions (FAQ)

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