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Popular >

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

Solution

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

Solution

\frac{8}{3}

+1

Decimal Notation

2.66666 \dots

Solution steps

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

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 4 x d x = 8

\int_{0}^{2} 4 d x = 8

= \frac{8}{3} - 8 + 8

Simplify

= \frac{8}{3}

Popular Examples

integral from 1 to e^2 of (ln(x))^2

\int_{1}^{e^{2}} (ln (x))^{2} d x

integral from 0 to 1 of 1/((5-3x)^2)

\int_{0}^{1} \frac{1}{( 5 - 3 x ) ^{2}} d x

integral from 3 to 1 of x

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

integral from 0 to pi of cos(x+y)

\int_{0}^{π} cos (x + y) d x

integral from 0 to 2 of 1/4

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2-4x+4 ?
The integral from 0 to 2 of x^2-4x+4 is 8/3