en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x^2y^3)

Solution

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

Solution

\frac{y ^{3} x ^{3}}{3} + C

Solution steps

\int x^{2} y^{3} d x

Take the constant out:

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

= y^{3} \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= y^{3} \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{y ^{3} x ^{3}}{3}

Add a constant to the solution

= \frac{y ^{3} x ^{3}}{3} + C

Graph

Popular Examples

integral of 5x^4cos(x^5)

\int 5 x^{4} cos (x^{5}) d x

integral of ((x^2+4))/x

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

integral of (9+tan^2(θ))

\int (9 + tan^{2} (θ)) d θ

integral of 6xsqrt(4+x^2)

\int 6 x 4 + x^{2} d x

integral of (sin^2(x))(cos(x))

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

Frequently Asked Questions (FAQ)

What is the integral of (x^2y^3) ?
The integral of (x^2y^3) is (y^3x^3)/3+C