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Popular >

integral from 1 to 8 of (x^2-1)

Solution

\int_{1}^{8} (x^{2} - 1) d x

Solution

\frac{490}{3}

+1

Decimal Notation

163.33333 \dots

Solution steps

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

\int_{1}^{8} x^{2} d x = \frac{511}{3}

\int_{1}^{8} 1 d x = 7

= \frac{511}{3} - 7

Simplify

\frac{511}{3} - 7 : \frac{490}{3}

= \frac{490}{3}

Popular Examples

integral from 0 to pi of tan(2t)

\int_{0}^{π} tan (2 t) d t

integral from 2 to 5 of 1/((x-2)^0)

\int_{2}^{5} \frac{1}{( x - 2 ) ^{0}} d x

integral from 0 to ln(10) of xe^x

\int_{0}^{l n (10)} x e^{x} d x

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

\int_{0}^{\frac{π}{2}} x - cos (y) d y

integral from 0 to 6 of 3+2cos((pix)/6)

\int_{0}^{6} 3 + 2 cos (\frac{π x}{6}) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 8 of (x^2-1) ?
The integral from 1 to 8 of (x^2-1) is 490/3