What is the integral of 12x^5y^4+15x^4y^5 ?

The integral of 12x^5y^4+15x^4y^5 is 2y^4x^6+3y^5x^5+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 12x^5y^4+15x^4y^5

\int 12 x^{5} y^{4} + 15 x^{4} y^{5}

2 y^{4} x^{6} + 3 y^{5} x^{5} + C

Solution steps

\int 12 x^{5} y^{4} + 15 x^{4} y^{5} 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 12 y^{4} x^{5} d x + \int 15 y^{5} x^{4} d x

\int 12 y^{4} x^{5} d x = 2 y^{4} x^{6}

\int 15 y^{5} x^{4} d x = 3 y^{5} x^{5}

= 2 y^{4} x^{6} + 3 y^{5} x^{5}

Add a constant to the solution

= 2 y^{4} x^{6} + 3 y^{5} x^{5} + C

ln (e + x^{2})

\int cos^{2} (x) x d x

(\frac{1}{x}), 2

\frac{1}{s ^{2} ( s ^{2} + 4 )}

y = 3 x - 6, (2, 4)

What is the integral of 12x^5y^4+15x^4y^5 ?
The integral of 12x^5y^4+15x^4y^5 is 2y^4x^6+3y^5x^5+C