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Popular >

integral of xy^4

Solution

\int x y^{4} d x

Solution

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

Solution steps

\int x y^{4} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of 1/((1+x^2)(1+x+x^2))

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

integral of (x^4+8sqrt(x))/(x^2)

\int \frac{x ^{4} + 8 x}{x ^{2}} d x

integral of \sqrt[3]{x}ln^2(x)

integral of 8x^3sqrt(2x^4+6)

\int 8 x^{3} 2 x^{4} + 6 d x

integral of 4t^2e^t

\int 4 t^{2} e^{t} d t

Frequently Asked Questions (FAQ)

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