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Popular >

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

Solution

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

Solution

\frac{95}{3}

+1

Decimal

31.66666 \dots

Solution steps

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

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

\int_{0}^{5} 2 d x = 10

= \frac{125}{3} - 10

Simplify

\frac{125}{3} - 10 : \frac{95}{3}

= \frac{95}{3}

Graph

Popular Examples

integral from-1 to 1 of (x^3-x^6)

\int_{- 1}^{1} (x^{3} - x^{6}) d x

integral from 0 to 2pi of 2-2cos(x)

\int_{0}^{2 π} 2 - 2 cos (x) d x

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

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

integral from 1 to 2 of r^2

\int_{1}^{2} r^{2} d r

integral from 1 to x^2 of sec(t)

\int_{1}^{x^{2}} sec (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x^2-2) ?
The integral from 0 to 5 of (x^2-2) is 95/3