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Popular >

integral of ln(x)-2

Solution

\int ln (x) - 2 d x

Solution

x ln (x) - 3 x + C

Solution steps

\int ln (x) - 2 d x

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 (x) d x - \int 2 d x

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

\int 2 d x = 2 x

= x ln (x) - x - 2 x

Simplify

= x ln (x) - 3 x

Add a constant to the solution

= x ln (x) - 3 x + C

Graph

Popular Examples

integral of sin^6(x/8)cos(x/8)

\int sin^{6} (\frac{x}{8}) cos (\frac{x}{8}) d x

integral of ln(x+6)

\int ln (x + 6) d x

integral of (x+2)e^{3x}

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

integral of e^x\sqrt[3]{e^x+2}

\int e^{x} 3 e^{x} + 2 d x

integral of (-7x^3)/(sqrt(x^2+9))

\int \frac{- 7 x ^{3}}{x ^{2} + 9} d x

Frequently Asked Questions (FAQ)

What is the integral of ln(x)-2 ?
The integral of ln(x)-2 is xln(x)-3x+C