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Popular >

integral from 4 to 5 of x^2+x-9

Solution

\int_{4}^{5} x^{2} + x - 9 d x

Solution

\frac{95}{6}

+1

Solution steps

\int_{4}^{5} x^{2} + x - 9 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_{4}^{5} x^{2} d x + \int_{4}^{5} x d x - \int_{4}^{5} 9 d x

\int_{4}^{5} x^{2} d x = \frac{61}{3}

\int_{4}^{5} x d x = \frac{9}{2}

\int_{4}^{5} 9 d x = 9

= \frac{61}{3} + \frac{9}{2} - 9

Simplify

\frac{61}{3} + \frac{9}{2} - 9 : \frac{95}{6}

= \frac{95}{6}

Popular Examples

integral from 2 to 5 of 6

\int_{2}^{5} 6 d x

integral from-1 to 1 of 1+|x|

\int_{- 1}^{1} 1 + ∣ x ∣ d x

integral from 0 to 2 of xsqrt(x^2+5)

\int_{0}^{2} x x^{2} + 5 d x

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

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

integral from-9 to 9 of (81-x^2)

\int_{- 9}^{9} (81 - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 4 to 5 of x^2+x-9 ?
The integral from 4 to 5 of x^2+x-9 is 95/6