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Popular >

integral of 6x^5y

Solution

\int 6 x^{5} y d x

Solution

y x^{6} + C

Solution steps

\int 6 x^{5} y d x

Take the constant out:

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

= 6 y \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= 6 y \frac{x ^{6}}{6}

Simplify

6 y \frac{x ^{6}}{6} : y x^{6}

= y x^{6}

Add a constant to the solution

= y x^{6} + C

Popular Examples

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integral of e^{6x}cos(5x)

\int e^{6 x} cos (5 x) d x

integral of sin(6x)cos(6x)

\int sin (6 x) cos (6 x) d x

integral of x^nln(x)

\int x^{n} ln (x) d x

integral from-4 to 6 of [f(x)+2]

\int_{- 4}^{6} [f (x) + 2] d x

Frequently Asked Questions (FAQ)

What is the integral of 6x^5y ?
The integral of 6x^5y is yx^6+C