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Popular >

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

Solution

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

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

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

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

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

\int_{1}^{5} 6 d x = 24

= \frac{124}{3} - 12 - 24

Simplify

\frac{124}{3} - 12 - 24 : \frac{16}{3}

= \frac{16}{3}

Graph

Popular Examples

integral from 1 to 8 of 4/3 x^{1/3}

\int_{1}^{8} \frac{4}{3} x^{\frac{1}{3}} d x

integral from 0 to 1 of (5x^2-8x+6)

\int_{0}^{1} (5 x^{2} - 8 x + 6) d x

integral from 1 to 2 of kx

\int_{1}^{2} k x d x

integral from 0 to 2.8 of \sqrt[3]{3x+4}

\int_{0}^{2.8} 3 3 x + 4 d x

integral from 0 to 1 of e^x+x^2

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of x^2-x-6 ?
The integral from 1 to 5 of x^2-x-6 is 16/3