en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 10x

Solution

\int 10 x d x

Solution

5 x^{2} + C

Solution steps

\int 10 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 10 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Simplify

10 \cdot \frac{x ^{2}}{2} : 5 x^{2}

= 5 x^{2}

Add a constant to the solution

= 5 x^{2} + C

Popular Examples

derivative of f(x)=-3e^{x^2+x-1}derivative of

f (x) = - 3 e^{x^{2} + x - 1}

x^2y^'+2xy=ln(x),y(1)=7

x^{2} y^{^{'}} + 2 x y = ln (x), y (1) = 7

derivative of y=4+sqrt(x)derivative of

y = 4 + x

(d^2y)/(dx^2)+8(dy)/(dx)+16y=0

\frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} + 16 y = 0

maclaurin cos(pix),0 maclaurin

cos (π x), 0

Frequently Asked Questions (FAQ)

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