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Popular >

integral from-2 to 4 of x^2+5x-6

Solution

\int_{- 2}^{4} x^{2} + 5 x - 6 d x

Solution

18

Solution steps

\int_{- 2}^{4} 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_{- 2}^{4} x^{2} d x + \int_{- 2}^{4} 5 x d x - \int_{- 2}^{4} 6 d x

\int_{- 2}^{4} x^{2} d x = 24

\int_{- 2}^{4} 5 x d x = 30

\int_{- 2}^{4} 6 d x = 36

= 24 + 30 - 36

Simplify

= 18

Popular Examples

integral from a to 9a of 1/x

\int_{a}^{9 a} \frac{1}{x} d x

integral from 0 to 1 of x^2(1+4x^3)^5

\int_{0}^{1} x^{2} (1 + 4 x^{3})^{5} d x

integral from 1 to 3 of x^{-1}+x^2

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

integral from 0 to 1 of 1/4 x^2

\int_{0}^{1} \frac{1}{4} x^{2} d x

integral from 0 to x of sqrt(6+7t^2)

\int_{0}^{x} 6 + 7 t^{2} d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of x^2+5x-6 ?
The integral from-2 to 4 of x^2+5x-6 is 18