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Popular >

integral from 1 to 3 of x^2-4

Solution

\int_{1}^{3} x^{2} - 4 d x

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

\int_{1}^{3} 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}^{3} x^{2} d x - \int_{1}^{3} 4 d x

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

\int_{1}^{3} 4 d x = 8

= \frac{26}{3} - 8

Simplify

\frac{26}{3} - 8 : \frac{2}{3}

= \frac{2}{3}

Popular Examples

integral from 0 to 3 of (5x^2+9x)

\int_{0}^{3} (5 x^{2} + 9 x) d x

integral from pi/6 to pi/3 of csc(x)

\int_{\frac{π}{6}}^{\frac{π}{3}} csc (x) d x

integral from 1 to 3x^2 of (sin(t))/t

\int_{1}^{3 x^{2}} \frac{sin ( t )}{t} d t

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\int_{0}^{2 a} 2 a y d y

integral from 1 to 21 of 328.31x^{-0.41}

\int_{1}^{21} 328.31 x^{- 0.41} d x

Frequently Asked Questions (FAQ)

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