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Popular >

integral of x^3y^4

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

: \frac{x ^{4}}{4}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

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\int (2 - 2 x)^{2} d x

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\frac{( x ^{2} + 32 x )}{8}

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y = 1 - \frac{x ^{2}}{36}

Frequently Asked Questions (FAQ)

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