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Popular >

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

Solution

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

Solution

- \frac{2}{3}

+1

Decimal Notation

- 0.66666 \dots

Solution steps

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

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

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

= \frac{7}{3} - 3

Simplify

\frac{7}{3} - 3 : - \frac{2}{3}

= - \frac{2}{3}

Popular Examples

integral of ((x-1))/(sqrt((x^2-4x+3)))

\int \frac{( x - 1 )}{( x ^{2} - 4 x + 3 )} d x

derivative of (4x-7)/(x^2-1)derivative of

\frac{4 x - 7}{x ^{2} - 1}

integral of 2sqrt(x+1)-2

\int 2 x + 1 - 2 d x

integral of x/(sqrt(x-11))

\int \frac{x}{x - 11} d x

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

x^{3} + y^{3} = 3 x y^{2} \frac{d y}{d x}

Frequently Asked Questions (FAQ)

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