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Popular >

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

Solution

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

Solution

\frac{17}{6}

+1

Decimal

2.83333 \dots

Solution steps

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

\int_{3}^{4} x^{2} d x = \frac{37}{3}

\int_{3}^{4} x d x = \frac{7}{2}

\int_{3}^{4} 6 d x = 6

= \frac{37}{3} - \frac{7}{2} - 6

Simplify

\frac{37}{3} - \frac{7}{2} - 6 : \frac{17}{6}

= \frac{17}{6}

Graph

Popular Examples

integral from 0 to 2 of xe^{3x}

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

integral from 9 to 10 of (x-10)^9

\int_{9}^{10} (x - 10)^{9} d x

integral from 3 to 5 of x/(x^2-4)

\int_{3}^{5} \frac{x}{x ^{2} - 4} d x

integral from 0 to 1 of (x^2)/(2x+1)

\int_{0}^{1} \frac{x ^{2}}{2 x + 1} d x

integral from 3 to 10 of 1/x

\int_{3}^{10} \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 4 of x^2-x-6 ?
The integral from 3 to 4 of x^2-x-6 is 17/6