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Popular >

integral from 1 to 2 of x^2-5x+6

Solution

\int_{1}^{2} x^{2} - 5 x + 6 d x

Solution

\frac{5}{6}

+1

Decimal Notation

0.83333 \dots

Solution steps

\int_{1}^{2} x^{2} - 5 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}^{2} x^{2} d x - \int_{1}^{2} 5 x d x + \int_{1}^{2} 6 d x

\int_{1}^{2} x^{2} d x = \frac{7}{3}

\int_{1}^{2} 5 x d x = \frac{15}{2}

\int_{1}^{2} 6 d x = 6

= \frac{7}{3} - \frac{15}{2} + 6

Simplify

\frac{7}{3} - \frac{15}{2} + 6 : \frac{5}{6}

= \frac{5}{6}

Popular Examples

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

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

integral from 0 to 4 of (4-t)(sqrt(t))

\int_{0}^{4} (4 - t) (t) d t

integral from 0 to 3 of (2x^2+3)

\int_{0}^{3} (2 x^{2} + 3) d x

integral from 1 to 4 of (x^{1/2}-x^2)

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

integral from ln(2) to ln(8) of e^x

\int_{l n (2)}^{l n (8)} e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-5x+6 ?
The integral from 1 to 2 of x^2-5x+6 is 5/6