en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of y-x^3

Solution

\int y - x^{3} d x

Solution

y x - \frac{x ^{4}}{4} + C

Solution steps

\int y - x^{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 y d x - \int x^{3} d x

\int y d x = y x

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

= y x - \frac{x ^{4}}{4}

Add a constant to the solution

= y x - \frac{x ^{4}}{4} + C

Popular Examples

limit as n approaches infinity of 1/(3n)

n \to \infty lim (\frac{1}{3 n})

limit as x approaches-2+of (2-|x|)/(2+x)

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

(\partial)/(\partial x)((1/12)pix^2y)

\frac{\partial}{\partial x} ((\frac{1}{12}) π x^{2} y)

integral of 1/((25-x^2)^{3/2)}

\int \frac{1}{( 25 - x ^{2} ) ^{\frac{3}{2}}} d x

integral of (2x-3)/(x^26x^{13)}

\int \frac{2 x - 3}{x ^{2} 6 x ^{13}} d x

Frequently Asked Questions (FAQ)

What is the integral of y-x^3 ?
The integral of y-x^3 is yx-(x^4)/4+C