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Popular >

integral of x^4y

Solution

\int x^{4} y d y

Solution

\frac{x ^{4} y ^{2}}{2} + C

Solution steps

\int x^{4} y 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 d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= x^{4} \frac{y ^{2}}{2}

Multiply fractions:

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

= \frac{x ^{4} y ^{2}}{2}

Add a constant to the solution

= \frac{x ^{4} y ^{2}}{2} + C

Popular Examples

integral of e^x-3

\int e^{x} - 3 d x

integral of a/(bx+c)

\int \frac{a}{b x + c} d x

integral of sqrt(11-81x^2)

\int 11 - 81 x^{2} d x

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

\int \frac{x ^{2} + 2}{2 x ^{2} - x} d x

integral of 3(1+tan^2(x))

\int 3 (1 + tan^{2} (x)) d x

Frequently Asked Questions (FAQ)

What is the integral of x^4y ?
The integral of x^4y is (x^4y^2)/2+C