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Popular >

integral from 0 to 3 of x^2-4x+4

Solution

\int_{0}^{3} x^{2} - 4 x + 4 d x

Solution

3

Solution steps

\int_{0}^{3} x^{2} - 4 x + 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_{0}^{3} x^{2} d x - \int_{0}^{3} 4 x d x + \int_{0}^{3} 4 d x

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

\int_{0}^{3} 4 x d x = 18

\int_{0}^{3} 4 d x = 12

= 9 - 18 + 12

Simplify

= 3

Popular Examples

integral from 0 to 5 of x^3-1

\int_{0}^{5} x^{3} - 1 d x

integral from 0 to 4 of 2sqrt(4-x)

\int_{0}^{4} 2 4 - x d x

integral from-1 to 1 of (-x^2-2x+8)

\int_{- 1}^{1} (- x^{2} - 2 x + 8) d x

integral from-3 to 2 of-y^2-y+6

\int_{- 3}^{2} - y^{2} - y + 6 d y

integral from 4 to 11 of x/(sqrt(x+5))

\int_{4}^{11} \frac{x}{x + 5} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2-4x+4 ?
The integral from 0 to 3 of x^2-4x+4 is 3