en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^4y^3

Solution

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

Solution

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

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply the Power Rule

: \frac{y ^{4}}{4}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

area x=9y^2,x=2+7y^2 area

x = 9 y^{2}, x = 2 + 7 y^{2}

inverse oflaplace x^{-1/2}inverse laplace

x^{- \frac{1}{2}}

integral from-1 to 1 of (-x^2+1)^2

\int_{- 1}^{1} (- x^{2} + 1)^{2} d x

integral of-32x+38

\int - 32 x + 38 d x

integral from-1/2 to 1/2 of 2arccos(2x)

\int_{- \frac{1}{2}}^{\frac{1}{2}} 2 arccos (2 x) d x

Frequently Asked Questions (FAQ)

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