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Popular Calculus >

integral from 0 to 1 of (3-3x^2)

Solution

\int_{0}^{1} (3 - 3 x^{2}) d x

Solution

2

Solution steps

\int_{0}^{1} 3 - 3 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} 3 d x - \int_{0}^{1} 3 x^{2} d x

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

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

= 3 - 1

Simplify

= 2

Graph

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Frequently Asked Questions (FAQ)

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