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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

integral from 1 to 5 of sqrt(1+x^2)

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

integral from 3 to 7 of 1/x

\int_{3}^{7} \frac{1}{x} d x

integral from 5 to x of t^3

\int_{5}^{x} t^{3} d t

integral from 0 to pi/2 of (1-sin(x))^2

\int_{0}^{\frac{π}{2}} (1 - sin (x))^{2} d x

integral from 0 to y of t

\int_{0}^{y} t d t

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