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Popular >

integral from 3 to 8 of (x^2-9)

Solution

\int_{3}^{8} (x^{2} - 9) d x

Solution

\frac{350}{3}

+1

Decimal

116.66666 \dots

Solution steps

\int_{3}^{8} x^{2} - 9 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_{3}^{8} x^{2} d x - \int_{3}^{8} 9 d x

\int_{3}^{8} x^{2} d x = \frac{485}{3}

\int_{3}^{8} 9 d x = 45

= \frac{485}{3} - 45

Simplify

\frac{485}{3} - 45 : \frac{350}{3}

= \frac{350}{3}

Graph

Popular Examples

integral from 0.1pi to 0.3pi of sin(x)

\int_{0.1 π}^{0.3 π} sin (x) d x

integral from 1 to 2 of 8

\int_{1}^{2} 8 d x

integral from 4 to 12 of x^2

\int_{4}^{12} x^{2} d x

integral from 1 to 4 of 3x^2-1

\int_{1}^{4} 3 x^{2} - 1 d x

integral from-1 to x of (x^2)/3

\int_{- 1}^{x} \frac{x ^{2}}{3} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 8 of (x^2-9) ?
The integral from 3 to 8 of (x^2-9) is 350/3