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Popular >

integral from 0 to 1 of x^2-2x+2

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 2 x d x = 1

\int_{0}^{1} 2 d x = 2

= \frac{1}{3} - 1 + 2

Simplify

\frac{1}{3} - 1 + 2 : \frac{4}{3}

= \frac{4}{3}

Popular Examples

integral from x^2 to x^4 of (t+t^2)^2

\int_{x^{2}}^{x^{4}} (t + t^{2})^{2} d t

integral from-1 to 3 of (3+2x-x^2)

\int_{- 1}^{3} (3 + 2 x - x^{2}) d x

integral from 0 to 9 of sqrt(9-y)

\int_{0}^{9} 9 - y d y

integral from 0 to 54 of x^2(1/1458 x)

\int_{0}^{54} x^{2} (\frac{1}{1458} x) d x

integral from 3/2 to 5/2 of (2x-4)^3

\int_{\frac{3}{2}}^{\frac{5}{2}} (2 x - 4)^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2-2x+2 ?
The integral from 0 to 1 of x^2-2x+2 is 4/3