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Popular >

integral from 0 to 5 of (x^2-3)

Solution

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

Solution

\frac{80}{3}

+1

Decimal

26.66666 \dots

Solution steps

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

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

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

= \frac{125}{3} - 15

Simplify

\frac{125}{3} - 15 : \frac{80}{3}

= \frac{80}{3}

Graph

Popular Examples

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\int_{0}^{\frac{π}{2}} 4 sin (2 θ) d θ

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\int_{0}^{1} (1 + 8 x^{5}) d x

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\int_{0}^{1} x (6 x - 6 x^{2}) d x

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\int_{3}^{9} (3 - x) (x - 9) d x

integral from 0 to 10 of (100-x^2)

\int_{0}^{10} (100 - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x^2-3) ?
The integral from 0 to 5 of (x^2-3) is 80/3