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Popular >

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

Solution

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

Solution

\frac{112}{3}

+1

Decimal

37.33333 \dots

Solution steps

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

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

\int_{1}^{5} x d x = 12

\int_{1}^{5} 2 d x = 8

= \frac{124}{3} - 12 + 8

Simplify

\frac{124}{3} - 12 + 8 : \frac{112}{3}

= \frac{112}{3}

Graph

Popular Examples

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\int_{- 2}^{6} (- 2 x + 16) d x

integral from 0 to t of e^{-x}cos(x)

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

integral from 3 to infinity of 5/(x^2+9)

\int_{3}^{\infty} \frac{5}{x ^{2} + 9} d x

integral from-3 to-2 of (2e^{-0.1y}+3/y)

\int_{- 3}^{- 2} (2 e^{- 0.1 y} + \frac{3}{y}) d y

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of x^2-x+2 ?
The integral from 1 to 5 of x^2-x+2 is 112/3