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Popular >

integral from 0 to 5 of x^2-5

Solution

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

Solution

\frac{50}{3}

+1

Decimal

16.66666 \dots

Solution steps

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

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

\int_{0}^{5} 5 d x = 25

= \frac{125}{3} - 25

Simplify

\frac{125}{3} - 25 : \frac{50}{3}

= \frac{50}{3}

Graph

Popular Examples

integral from-1 to 1 of x^4-5x^2+4

\int_{- 1}^{1} x^{4} - 5 x^{2} + 4 d x

integral from 2 to x^2 of sin(x^3)

\int_{2}^{x^{2}} sin (x^{3}) d x

integral from pi/6 to pi/3 of 2cot(x)

\int_{\frac{π}{6}}^{\frac{π}{3}} 2 cot (x) d x

integral from pi/2 to pi/2 of cos(x)

\int_{\frac{π}{2}}^{\frac{π}{2}} cos (x) d x

integral from 4 to 6 of 3x^2

\int_{4}^{6} 3 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x^2-5 ?
The integral from 0 to 5 of x^2-5 is 50/3