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Popular >

integral from 0 to 3 of 4-x^2

Solution

\int_{0}^{3} 4 - x^{2} d x

Solution

3

Solution steps

\int_{0}^{3} 4 - 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}^{3} 4 d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} 4 d x = 12

\int_{0}^{3} x^{2} d x = 9

= 12 - 9

Simplify

= 3

Graph

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\int_{0}^{16} \frac{x}{49 + 2 x} d x

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\int_{0}^{1} 8 x^{2} ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 4-x^2 ?
The integral from 0 to 3 of 4-x^2 is 3