en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 30-10x

Solution

\int 30 - 10 x d x

Solution

30 x - 5 x^{2} + C

Solution steps

\int 30 - 10 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 30 d x - \int 10 x d x

\int 30 d x = 30 x

\int 10 x d x = 5 x^{2}

= 30 x - 5 x^{2}

Add a constant to the solution

= 30 x - 5 x^{2} + C

Popular Examples

\frac{d y}{d x} - y = 9 x

y^{^{'''}} - y^{^{'}} = 0

derivative of f(x)e^{-(x-2)^2}+3 derivative of

f (x) e^{- (x - 2)^{2}} + 3

integral of sin^3(φ)

\int sin^{3} (φ) d φ

integral from-e to e of 1/(|x|)

\int_{- e}^{e} \frac{1}{∣ x ∣} d x

Frequently Asked Questions (FAQ)

What is the integral of 30-10x ?
The integral of 30-10x is 30x-5x^2+C