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Popular >

integral of ln(5x)

Solution

\int ln (5 x) d x

Solution

x ln (5 x) - x + C

Solution steps

\int ln (5 x) d x

Apply Integration By Parts

: x ln (5 x) - \int 1 d x

= x ln (5 x) - \int 1 d x

\int 1 d x = x

= x ln (5 x) - x

Add a constant to the solution

= x ln (5 x) - x + C

Popular Examples

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

\int x^{2} e^{- \frac{x ^{2}}{2}} d x

limit as x approaches pi/2 of 2e^xcos(x)

x \to \frac{π}{2} lim (2 e^{x} cos (x))

derivative of y=8x^5+10x^3-4 derivative of

y = 8 x^{5} + 10 x^{3} - 4

derivative of log_{e}((3+x/(3-x)))

\frac{d}{d x} (lo g_{e} (\frac{3 + x}{3 - x}))

derivative of (8x/(x^2+1))

\frac{d}{d x} (\frac{8 x}{x ^{2} + 1})

Frequently Asked Questions (FAQ)

What is the integral of ln(5x) ?
The integral of ln(5x) is xln(5x)-x+C