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Popular >

integral from-4 to 5 of-x+2

Solution

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

Solution

\frac{27}{2}

+1

Solution steps

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

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

\int_{- 4}^{5} 2 d x = 18

= - \frac{9}{2} + 18

Simplify

- \frac{9}{2} + 18 : \frac{27}{2}

= \frac{27}{2}

Popular Examples

integral from 0 to 0 of e^x

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

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

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

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

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

integral from 2 to 4 of x^3ln(x)

\int_{2}^{4} x^{3} ln (x) d x

integral from 0 to pi of 8+5sin(x)

\int_{0}^{π} 8 + 5 sin (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 5 of-x+2 ?
The integral from-4 to 5 of-x+2 is 27/2