What is the integral of-9ln(x) ?

The integral of-9ln(x) is -9(xln(x)-x)+C

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integral of-9ln(x)

\int - 9 ln (x) d x

- 9 (x ln (x) - x) + C

Solution steps

\int - 9 ln (x) d x

Take the constant out:

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

= - 9 \cdot \int ln (x) d x

Apply Integration By Parts

: x ln (x) - \int 1 d x

= - 9 (x ln (x) - \int 1 d x)

\int 1 d x = x

= - 9 (x ln (x) - x)

Add a constant to the solution

= - 9 (x ln (x) - x) + C

\int (x - 2) 8 - x d x

9 - t

\frac{d}{d x} (\frac{x y}{x ^{2} + y ^{2}})

n = 0 \sum \infty \frac{4}{5 ^{n - 1}}

x \to - 2 - lim (\frac{x}{x + 2})