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Popular >

integral from 1 to 3 of x^2+x+1

Solution

\int_{1}^{3} x^{2} + x + 1 d x

Solution

\frac{44}{3}

+1

Decimal

14.66666 \dots

Solution steps

\int_{1}^{3} 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_{1}^{3} x^{2} d x + \int_{1}^{3} x d x + \int_{1}^{3} 1 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} x d x = 4

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

= \frac{26}{3} + 4 + 2

Simplify

\frac{26}{3} + 4 + 2 : \frac{44}{3}

= \frac{44}{3}

Graph

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integral from 2 to 3 of-x^2+5x-6

\int_{2}^{3} - x^{2} + 5 x - 6 d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+x+1 ?
The integral from 1 to 3 of x^2+x+1 is 44/3