What is the integral of (1+10x-5y^4) ?

The integral of (1+10x-5y^4) is x+5x^2-5y^4x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1+10x-5y^4)

\int (1 + 10 x - 5 y^{4}) d x

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

Solution steps

\int 1 + 10 x - 5 y^{4} 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 1 d x + \int 10 x d x - \int 5 y^{4} d x

\int 1 d x = x

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

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

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

Add a constant to the solution

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

\int x^{2} cos (2 x + 1) d x

\int \frac{4 x + 3}{( x - 2 ) ^{3}} d x

\int (1 + y^{2} + x y^{2}) d x

\int 5 x e^{0.005 x^{2}} d x

\int \frac{( x + 3 )}{4 x ^{2} + 4 x + 3} d x

What is the integral of (1+10x-5y^4) ?
The integral of (1+10x-5y^4) is x+5x^2-5y^4x+C