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Popular >

integral of ln(2w)

Solution

\int ln (2 w) d w

Solution

w ln (2 w) - w + C

Solution steps

\int ln (2 w) d w

Apply Integration By Parts

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

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

\int 1 d w = w

= w ln (2 w) - w

Add a constant to the solution

= w ln (2 w) - w + C

Popular Examples

integral of (1-e^{-2x})

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

integral of x(sec^2(3x))

\int x (sec^{2} (3 x)) d x

integral of sin(x^2+4)*(x+2)

\int sin (x^{2} + 4) \cdot (x + 2) d x

integral of sin(6x)sin(3x)

\int sin (6 x) sin (3 x) d x

integral of 7/(sqrt(16x^2+24x+9))

\int \frac{7}{16 x ^{2} + 24 x + 9} d x

Frequently Asked Questions (FAQ)

What is the integral of ln(2w) ?
The integral of ln(2w) is wln(2w)-w+C