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Popular >

integral from 0 to 5 of x^2-1

Solution

\int_{0}^{5} x^{2} - 1 d x

Solution

\frac{110}{3}

+1

Decimal

36.66666 \dots

Solution steps

\int_{0}^{5} 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}^{5} x^{2} d x - \int_{0}^{5} 1 d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 1 d x = 5

= \frac{125}{3} - 5

Simplify

\frac{125}{3} - 5 : \frac{110}{3}

= \frac{110}{3}

Graph

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\int_{0}^{π} (1 + sin (x))^{2} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x^2-1 ?
The integral from 0 to 5 of x^2-1 is 110/3