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Popular Calculus >

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

Solution

\int_{1}^{3} (x^{2} - 1) d x

Solution

\frac{20}{3}

+1

Decimal

6.66666 \dots

Solution steps

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

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 1 d x = 2

= \frac{26}{3} - 2

Simplify

\frac{26}{3} - 2 : \frac{20}{3}

= \frac{20}{3}

Graph

Popular Examples

integral from 1 to 100 of 1/(1+x^2)

(\partial)/(\partial x)(x^2+2xy+y^2)

derivative of log_{x}(3)

(x^2-4)(dy)/(dx)+2xy=3x^2

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x^2-1) ?
The integral from 1 to 3 of (x^2-1) is 20/3