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Popular >

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

Solution

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

Solution

\frac{8}{3}

+1

Decimal

2.66666 \dots

Solution steps

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

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

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

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

= \frac{8}{3} - 2 + 2

Simplify

= \frac{8}{3}

Graph

Popular Examples

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\int_{0}^{3} k x d x

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\int_{x^{2}}^{0} (t - t^{2}) d t

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\int_{0}^{1} \frac{e - 1}{2 e} d x

integral from 0 to 1 of e^{pix}cos(pi)x

\int_{0}^{1} e^{π x} cos (π) x d x

integral from 1 to 2 of (v^2+3v^5)/(v^3)

\int_{1}^{2} \frac{v ^{2} + 3 v ^{5}}{v ^{3}} d v

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2-x+1 ?
The integral from 0 to 2 of x^2-x+1 is 8/3