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Popular >

integral from 0 to 3 of 5-x^2

Solution

\int_{0}^{3} 5 - x^{2} d x

Solution

6

Solution steps

\int_{0}^{3} 5 - 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} 5 d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} 5 d x = 15

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

= 15 - 9

Simplify

= 6

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\int \frac{k}{x + 1} d x

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\int_{0}^{5} 12 \frac{t}{t + 1} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 5-x^2 ?
The integral from 0 to 3 of 5-x^2 is 6