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Popular >

integral from 2 to 6 of (x^2-1)

Solution

\int_{2}^{6} (x^{2} - 1) d x

Solution

\frac{196}{3}

+1

Decimal Notation

65.33333 \dots

Solution steps

\int_{2}^{6} 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_{2}^{6} x^{2} d x - \int_{2}^{6} 1 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 1 d x = 4

= \frac{208}{3} - 4

Simplify

\frac{208}{3} - 4 : \frac{196}{3}

= \frac{196}{3}

Popular Examples

integral from 8 to x of 1/t

\int_{8}^{x} \frac{1}{t} d t

integral from 0 to 2 of (x^3+2x)

\int_{0}^{2} (x^{3} + 2 x) d x

integral from 1 to e of (sin(ln(θ)))/θ

\int_{1}^{e} \frac{sin ( ln ( θ ) )}{θ} d θ

integral from 1 to 6 of xe^{2x}

\int_{1}^{6} x e^{2 x} d x

integral from 0 to 5 of x^2-4x

\int_{0}^{5} x^{2} - 4 x d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x^2-1) ?
The integral from 2 to 6 of (x^2-1) is 196/3