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Popular >

integral from 1 to 3 of x^2-2x+5

Solution

\int_{1}^{3} x^{2} - 2 x + 5 d x

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

\int_{1}^{3} x^{2} - 2 x + 5 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} 2 x d x + \int_{1}^{3} 5 d x

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

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} 5 d x = 10

= \frac{26}{3} - 8 + 10

Simplify

\frac{26}{3} - 8 + 10 : \frac{32}{3}

= \frac{32}{3}

Graph

Popular Examples

integral from 0 to pi of 1/2 sin(x^2)

\int_{0}^{π} \frac{1}{2} sin (x^{2}) d x

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

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

integral from 2 to 7 of 1/(sqrt(x+2)+1)

\int_{2}^{7} \frac{1}{x + 2 + 1} d x

integral from 0 to pi/3 of xcos(x)

\int_{0}^{\frac{π}{3}} x cos (x) d x

integral from 0 to 2pi of-cos(θ)

\int_{0}^{2 π} - cos (θ) d θ

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2-2x+5 ?
The integral from 1 to 3 of x^2-2x+5 is 32/3