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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 0 to 1 of (2x-1)^{100}

\int_{0}^{1} (2 x - 1)^{100} d x

integral from 0 to x of (6x)/((1+x)^4)

\int_{0}^{x} \frac{6 x}{( 1 + x ) ^{4}} d x

integral from 0 to 1 of 2^x+x

\int_{0}^{1} 2^{x} + x d x

integral from 0 to 1 of 1/(x^4+1)

\int_{0}^{1} \frac{1}{x ^{4} + 1} d x

integral from-2 to 2 of (x^2)

\int_{- 2}^{2} (x^{2}) 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