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Popular >

integral of 2xln(y)

Solution

\int 2 x ln (y) d x

Solution

x^{2} ln (y) + C

Solution steps

\int 2 x ln (y) d x

Take the constant out:

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

= 2 ln (y) \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= x^{2} ln (y)

Add a constant to the solution

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

Graph

Popular Examples

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\int \frac{1}{1 + x ^{2}} - e^{x} + \frac{5}{x} + 1 d x

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

integral of (xy)/(x^2+y^2)

\int \frac{x y}{x ^{2} + y ^{2}} d y

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

\int 6 sin^{6} (x) cos (x) d x

integral of 12x+6

\int 12 x + 6 d x

Frequently Asked Questions (FAQ)

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