en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x+10

Solution

\int x + 10 d x

Solution

\frac{x ^{2}}{2} + 10 x + C

Solution steps

\int x + 10 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 x d x + \int 10 d x

\int x d x = \frac{x ^{2}}{2}

\int 10 d x = 10 x

= \frac{x ^{2}}{2} + 10 x

Add a constant to the solution

= \frac{x ^{2}}{2} + 10 x + C

Popular Examples

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

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

(\partial)/(\partial x)((x^2)/(y^3))

\frac{\partial}{\partial x} (\frac{x ^{2}}{y ^{3}})

area x^2-1, 1/2 x^2 area

x^{2} - 1, \frac{1}{2} x^{2}

integral of (sin(2x))/(2+2sin^2(x))

\int \frac{sin ( 2 x )}{2 + 2 sin ^{2} ( x )} d x

y^{''}+49y=-49sec^2(7x)

y^{^{''}} + 49 y = - 49 sec^{2} (7 x)

Frequently Asked Questions (FAQ)

What is the integral of x+10 ?
The integral of x+10 is (x^2)/2+10x+C