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Popular >

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

Solution

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

Solution

- \frac{4}{3}

+1

Decimal

- 1.33333 \dots

Solution steps

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

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

\int_{1}^{3} 3 x d x = 12

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

= \frac{26}{3} - 12 + 2

Simplify

\frac{26}{3} - 12 + 2 : - \frac{4}{3}

= - \frac{4}{3}

Graph

Popular Examples

integral from 3 to 4 of (3x^2-1)

\int_{3}^{4} (3 x^{2} - 1) d x

integral from 0 to pi/2 of 3cos^3(x)

\int_{0}^{\frac{π}{2}} 3 cos^{3} (x) d x

integral from 0 to pi/3 of 4tan(x/2)

\int_{0}^{\frac{π}{3}} 4 tan (\frac{x}{2}) d x

integral from 0 to ln(a) of 9e^{3x}

\int_{0}^{l n (a)} 9 e^{3 x} d x

integral from 0 to 1/2 of arctan(x)

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

Frequently Asked Questions (FAQ)

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