en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 5 of (10-5x)

Solution

\int_{- 2}^{5} (10 - 5 x) d x

Solution

\frac{35}{2}

+1

Decimal Notation

17.5

Solution steps

\int_{- 2}^{5} 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_{- 2}^{5} 10 d x - \int_{- 2}^{5} 5 x d x

\int_{- 2}^{5} 10 d x = 70

\int_{- 2}^{5} 5 x d x = \frac{105}{2}

= 70 - \frac{105}{2}

Simplify

70 - \frac{105}{2} : \frac{35}{2}

= \frac{35}{2}

Popular Examples

integral from 0 to 6 of 8/729 (x+3)^3

\int_{0}^{6} \frac{8}{729} (x + 3)^{3} d x

integral from 0 to 1 of (8y)/((x^3+1)^2)

\int_{0}^{1} \frac{8 y}{( x ^{3} + 1 ) ^{2}} d y

integral from n to infinity of 1/(x^2)

\int_{n}^{\infty} \frac{1}{x ^{2}} d x

integral from 0 to sin(y) of (y-2y)

\int_{0}^{s i n (y)} (y - 2 y) d y

integral from 0 to 6 of 16x

\int_{0}^{6} 16 x d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of (10-5x) ?
The integral from-2 to 5 of (10-5x) is 35/2