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Popular >

integral from-5 to 8 of (10-5x)

Solution

\int_{- 5}^{8} (10 - 5 x) d x

Solution

\frac{65}{2}

+1

Decimal

32.5

Solution steps

\int_{- 5}^{8} 10 - 5 x 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_{- 5}^{8} 10 d x - \int_{- 5}^{8} 5 x d x

\int_{- 5}^{8} 10 d x = 130

\int_{- 5}^{8} 5 x d x = \frac{195}{2}

= 130 - \frac{195}{2}

Simplify

130 - \frac{195}{2} : \frac{65}{2}

= \frac{65}{2}

Graph

Popular Examples

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

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

integral from 0 to 3 of 5x(x-4)

\int_{0}^{3} 5 x (x - 4) d x

integral from 4 to 12 of x-4/x

\int_{4}^{12} x - \frac{4}{x} d x

integral from 1 to 4 of f(x+6)

\int_{1}^{4} f (x + 6) d x

integral from-1 to 0 of (x^2+4x-1)/(x+2)

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

Frequently Asked Questions (FAQ)

What is the integral from-5 to 8 of (10-5x) ?
The integral from-5 to 8 of (10-5x) is 65/2