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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

- 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}

Graph

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\int_{2 π}^{\infty} sin (θ) d θ

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\int_{0}^{5} 5 x^{3} d x

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\int_{0}^{π} x \cdot cos (n \cdot x) d x

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