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Popular >

integral of 4xln(y)

Solution

\int 4 x ln (y) d x

Solution

2 x^{2} ln (y) + C

Solution steps

\int 4 x ln (y) d x

Take the constant out:

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

= 4 ln (y) \cdot \int x d x

Apply the Power Rule

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

= 4 ln (y) \frac{x ^{2}}{2}

Simplify

4 ln (y) \frac{x ^{2}}{2} : 2 x^{2} ln (y)

= 2 x^{2} ln (y)

Add a constant to the solution

= 2 x^{2} ln (y) + C

Graph

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Frequently Asked Questions (FAQ)

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