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Popular >

integral of x^5y^4

Solution

\int x^{5} y^{4} d y

Solution

\frac{x ^{5} y ^{5}}{5} + C

Solution steps

\int x^{5} y^{4} d y

Take the constant out:

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

= x^{5} \cdot \int y^{4} d y

Apply the Power Rule

: \frac{y ^{5}}{5}

= x^{5} \frac{y ^{5}}{5}

Multiply fractions:

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

= \frac{x ^{5} y ^{5}}{5}

Add a constant to the solution

= \frac{x ^{5} y ^{5}}{5} + C

Popular Examples

integral of 3t-5

\int 3 t - 5 d t

integral of (x^3+x)/(x^4+2x^2+5)

\int \frac{x ^{3} + x}{x ^{4} + 2 x ^{2} + 5} d x

integral of-0.0008xe^{x^2}

\int - 0.0008 x e^{x^{2}} d x

integral of 1/(3sqrt(t))

\int \frac{1}{3 t} d t

integral of z/(e^z)

\int \frac{z}{e ^{z}} d z

Frequently Asked Questions (FAQ)

What is the integral of x^5y^4 ?
The integral of x^5y^4 is (x^5y^5)/5+C