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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} - 1

Simplify

\frac{7}{3} - 1 : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

integral from 1 to x of e^{t^2}

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

integral from 0 to 2 of x^2f(x^3+1)

\int_{0}^{2} x^{2} f (x^{3} + 1) d x

integral from-pi to pi of 1

\int_{- π}^{π} 1 d x

integral from 0 to pi/3 of x^2sin(3x)

\int_{0}^{\frac{π}{3}} x^{2} sin (3 x) d x

integral from 1 to ln(8) of 6x+e^x

\int_{1}^{l n (8)} 6 x + e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^2-1) ?
The integral from 1 to 2 of (x^2-1) is 4/3