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Popular >

integral from 0 to 3 of x^2-1

Solution

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

Solution

6

Solution steps

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

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

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

= 9 - 3

Simplify

= 6

Popular Examples

integral from 4 to 7 of x^3

\int_{4}^{7} x^{3} d x

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

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

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

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

integral from 2 to 5 of 2000x+1000

\int_{2}^{5} 2000 x + 1000 d x

integral from-2 to 5 of x^2-3x-10

\int_{- 2}^{5} x^{2} - 3 x - 10 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2-1 ?
The integral from 0 to 3 of x^2-1 is 6