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Popular >

integral of ln(2y)

Solution

\int ln (2 y) d y

Solution

y ln (2 y) - y + C

Solution steps

\int ln (2 y) d y

Apply Integration By Parts

: y ln (2 y) - \int 1 d y

= y ln (2 y) - \int 1 d y

\int 1 d y = y

= y ln (2 y) - y

Add a constant to the solution

= y ln (2 y) - y + C

Popular Examples

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(\partial)/(\partial x)(cos(12x)sin(4y))

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\int (\frac{2 x}{1 + x ^{4}}) d x

integral of cot^2(4x)

\int cot^{2} (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral of ln(2y) ?
The integral of ln(2y) is yln(2y)-y+C