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Popular Calculus >

integral from 0 to 6 of (1-x^2)

Solution

\int_{0}^{6} (1 - x^{2}) d x

Solution

- 66

Solution steps

\int_{0}^{6} 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}^{6} 1 d x - \int_{0}^{6} x^{2} d x

\int_{0}^{6} 1 d x = 6

\int_{0}^{6} x^{2} d x = 72

= 6 - 72

Simplify

= - 66

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of (1-x^2) ?
The integral from 0 to 6 of (1-x^2) is -66