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Popular >

integral from 0 to 3 of x^2-6x+8

Solution

\int_{0}^{3} x^{2} - 6 x + 8 d x

Solution

6

Solution steps

\int_{0}^{3} x^{2} - 6 x + 8 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_{0}^{3} x^{2} d x - \int_{0}^{3} 6 x d x + \int_{0}^{3} 8 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 6 x d x = 27

\int_{0}^{3} 8 d x = 24

= 9 - 27 + 24

Simplify

= 6

Popular Examples

integral from 0 to infinity of x^p

\int_{0}^{\infty} x^{p} d x

integral from 0 to 3 of t^2

\int_{0}^{3} t^{2} d t

integral from 0 to 4 of 8y

\int_{0}^{4} 8 y d y

integral from i to 1 of (z+1)^2

\int_{i}^{1} (z + 1)^{2} d z

integral from 1 to infinity of 1/(n^2+1)

\int_{1}^{\infty} \frac{1}{n ^{2} + 1}

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2-6x+8 ?
The integral from 0 to 3 of x^2-6x+8 is 6