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Popular >

integral from 1 to 2 of x^2-4

Solution

\int_{1}^{2} x^{2} - 4 d x

Solution

- \frac{5}{3}

+1

Decimal Notation

- 1.66666 \dots

Solution steps

\int_{1}^{2} x^{2} - 4 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} 4 d x

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

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

= \frac{7}{3} - 4

Simplify

\frac{7}{3} - 4 : - \frac{5}{3}

= - \frac{5}{3}

Popular Examples

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

\int_{0}^{3} y x + 2 d y

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

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

integral from-2 to 2 of e^{-x}

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

integral from 1 to 1 of sqrt(1-z)

\int_{1}^{1} 1 - z d z

integral from 0 to 4 of (x^2-1)/(x^2+2)

\int_{0}^{4} \frac{x ^{2} - 1}{x ^{2} + 2} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-4 ?
The integral from 1 to 2 of x^2-4 is -5/3