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Popular Calculus >

integral from 0 to 4 of x^2-1

Solution

\int_{0}^{4} x^{2} - 1 d x

Solution

\frac{52}{3}

+1

Decimal

17.33333 \dots

Solution steps

\int_{0}^{4} 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}^{4} x^{2} d x - \int_{0}^{4} 1 d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 1 d x = 4

= \frac{64}{3} - 4

Simplify

\frac{64}{3} - 4 : \frac{52}{3}

= \frac{52}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2-1 ?
The integral from 0 to 4 of x^2-1 is 52/3