What is the integral of 10x+3x^2+12x^3+C ?

The integral of 10x+3x^2+12x^3+C is 5x^2+x^3+3x^4+Cx+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 10x+3x^2+12x^3+C

\int 10 x + 3 x^{2} + 12 x^{3} + C d x

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

Solution steps

\int 10 x + 3 x^{2} + 12 x^{3} + C 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 10 x d x + \int 3 x^{2} d x + \int 12 x^{3} d x + \int C d x

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

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

\int 12 x^{3} d x = 3 x^{4}

\int C d x = C x

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

Add a constant to the solution

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

\frac{( s + 1 )}{s ^{2} + 2 s + 2}

h \to 0 lim (h - \frac{9}{h} + 4)

\int \frac{x ^{2} - 5 x + 2}{3 x} d x

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

y = 10 x, (10, 10)

What is the integral of 10x+3x^2+12x^3+C ?
The integral of 10x+3x^2+12x^3+C is 5x^2+x^3+3x^4+Cx+C