en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x(15x+8)

Solution

\int x (15 x + 8) d x

Solution

5 x^{3} + 4 x^{2} + C

Solution steps

\int x (15 x + 8) d x

Expand

x (15 x + 8) : 15 x^{2} + 8 x

= \int 15 x^{2} + 8 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 15 x^{2} d x + \int 8 x d x

\int 15 x^{2} d x = 5 x^{3}

\int 8 x d x = 4 x^{2}

= 5 x^{3} + 4 x^{2}

Add a constant to the solution

= 5 x^{3} + 4 x^{2} + C

Popular Examples

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

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

inverse oflaplace arctan(s)+1 inverse laplace

arctan (s) + 1

limit as x approaches 0 of x-sin(x)

x \to 0 lim (x - sin (x))

(6xy^2-3)dx+(6x^2y+4)dy=0

(6 x y^{2} - 3) d x + (6 x^{2} y + 4) d y = 0

integral of (cos(x)-(sin(x))/x)/(x)

\int \frac{cos ( x ) - \frac{s i n ( x )}{x}}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of x(15x+8) ?
The integral of x(15x+8) is 5x^3+4x^2+C