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Popular >

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

Solution

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

Solution

\frac{28}{3}

+1

Decimal

9.33333 \dots

Solution steps

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

\int_{1}^{5} x^{2} d x = \frac{124}{3}

\int_{1}^{5} 3 x d x = 36

\int_{1}^{5} 1 d x = 4

= \frac{124}{3} - 36 + 4

Simplify

\frac{124}{3} - 36 + 4 : \frac{28}{3}

= \frac{28}{3}

Graph

Popular Examples

integral from 0 to x of (x+y)

\int_{0}^{x} (x + y) d y

integral from 3 to 5 of (2x+1)

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

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

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

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

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

integral from 0 to 3 of x/3 e^{x^2}

\int_{0}^{3} \frac{x}{3} e^{x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of x^2-3x+1 ?
The integral from 1 to 5 of x^2-3x+1 is 28/3