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Popular >

integral of (ln(y)-2)

Solution

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

Solution

y ln (y) - 3 y + C

Solution steps

\int ln (y) - 2 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int 2 d y = 2 y

= y ln (y) - y - 2 y

Simplify

= y ln (y) - 3 y

Add a constant to the solution

= y ln (y) - 3 y + C

Graph

Popular Examples

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\int cos (3 - x) d x

integral of pi(e^x)^2

\int π (e^{x})^{2} d x

integral of 5/(x^2+2x)

\int \frac{5}{x ^{2} + 2 x} d x

integral of (3x^3+x)/((x^2+1)^2)

\int \frac{3 x ^{3} + x}{( x ^{2} + 1 ) ^{2}} d x

integral of 8y^2

\int 8 y^{2} d y

Frequently Asked Questions (FAQ)

What is the integral of (ln(y)-2) ?
The integral of (ln(y)-2) is yln(y)-3y+C