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Popular >

integral from 1 to 9 of (x^2-1)

Solution

\int_{1}^{9} (x^{2} - 1) d x

Solution

\frac{704}{3}

+1

Decimal

234.66666 \dots

Solution steps

\int_{1}^{9} x^{2} - 1 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_{1}^{9} x^{2} d x - \int_{1}^{9} 1 d x

\int_{1}^{9} x^{2} d x = \frac{728}{3}

\int_{1}^{9} 1 d x = 8

= \frac{728}{3} - 8

Simplify

\frac{728}{3} - 8 : \frac{704}{3}

= \frac{704}{3}

Graph

Popular Examples

integral from 0 to 4 of (xsqrt(x^2+9))

\int_{0}^{4} (x x^{2} + 9) d x

integral from 0 to 5 of (3t-8)

\int_{0}^{5} (3 t - 8) d t

integral from 2 to 3 of (3x+8)

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

integral from 0 to 1 of 30xy

\int_{0}^{1} 30 x y d y

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 9 of (x^2-1) ?
The integral from 1 to 9 of (x^2-1) is 704/3