What is the integral of 5x^4y^2+4x^3y^3 ?

The integral of 5x^4y^2+4x^3y^3 is y^3x^4+y^2x^5+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5x^4y^2+4x^3y^3

\int 5 x^{4} y^{2} + 4 x^{3} y^{3} d x

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

Solution steps

\int 5 x^{4} y^{2} + 4 x^{3} y^{3} 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 4 y^{3} x^{3} d x + \int 5 y^{2} x^{4} d x

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

\int 5 y^{2} x^{4} d x = y^{2} x^{5}

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

Add a constant to the solution

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

\frac{\partial}{\partial x} (5 + cos (0.5 x - t))

^{'} (\frac{1}{x ^{2}} - \frac{9}{x ^{4}}) (x + 5 x^{3})

\int 2 x (3 - x^{2})^{3} d x

\int \frac{x ^{5}}{x ^{6} + 6} d x

x \to - 1 lim (\frac{x ^{2}}{x + 1})

What is the integral of 5x^4y^2+4x^3y^3 ?
The integral of 5x^4y^2+4x^3y^3 is y^3x^4+y^2x^5+C