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Popular >

integral from-1 to 2 of (5x-5)

Solution

\int_{- 1}^{2} (5 x - 5) d x

Solution

- \frac{15}{2}

+1

Decimal

- 7.5

Solution steps

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

\int_{- 1}^{2} 5 x d x = \frac{15}{2}

\int_{- 1}^{2} 5 d x = 15

= \frac{15}{2} - 15

Simplify

\frac{15}{2} - 15 : - \frac{15}{2}

= - \frac{15}{2}

Graph

Popular Examples

integral from-1 to 0 of (e^x)

\int_{- 1}^{0} (e^{x}) d x

integral from 0 to infinity of e^{-s}

\int_{0}^{\infty} e^{- s} d s

integral from 5 to 8 of 1/(x-2)

\int_{5}^{8} \frac{1}{x - 2} d x

integral from 1 to 3 of t

\int_{1}^{3} t d t

integral from-2 to 1 of 8xcos(2x^2)

\int_{- 2}^{1} 8 x cos (2 x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (5x-5) ?
The integral from-1 to 2 of (5x-5) is -15/2