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Popular >

integral from 1 to 3 of x^2-4x+6

Solution

\int_{1}^{3} x^{2} - 4 x + 6 d x

Solution

\frac{14}{3}

+1

Solution steps

\int_{1}^{3} x^{2} - 4 x + 6 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} 4 x d x + \int_{1}^{3} 6 d x

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

\int_{1}^{3} 4 x d x = 16

\int_{1}^{3} 6 d x = 12

= \frac{26}{3} - 16 + 12

Simplify

\frac{26}{3} - 16 + 12 : \frac{14}{3}

= \frac{14}{3}

Popular Examples

integral from-2 to 4 of |x-1|

\int_{- 2}^{4} ∣ x - 1 ∣ d x

integral from 0 to 2 of (x/2)^2

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

integral from-1 to 2 of (4x+1)

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

integral from 0 to 2 of 8x-3+5e^{2-x}

\int_{0}^{2} 8 x - 3 + 5 e^{2 - x} d x

integral from-infinity to-7 of e^x

\int_{- \infty}^{- 7} e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2-4x+6 ?
The integral from 1 to 3 of x^2-4x+6 is 14/3