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Popular >

integral of ln|t|

Solution

\int ln ∣ t ∣ d t

Solution

t ln ∣ t ∣ - t + C

Solution steps

\int ln ∣ t ∣ d t

Apply Integration By Parts

: t ln ∣ t ∣ - \int 1 d t

= t ln ∣ t ∣ - \int 1 d t

\int 1 d t = t

= t ln ∣ t ∣ - t

Add a constant to the solution

= t ln ∣ t ∣ - t + C

Popular Examples

integral of (5s)/(sqrt(3-2s^2))

\int \frac{5 s}{3 - 2 s ^{2}} d s

integral of 7sec^6(x)

\int 7 sec^{6} (x) d x

integral of (x-1)/(sqrt(x^2-1))

\int \frac{x - 1}{x ^{2} - 1} d x

integral of ((x-3))/(x^2-4x+13)

\int \frac{( x - 3 )}{x ^{2} - 4 x + 13} d x

integral of (5x+5)(3x-3)

\int (5 x + 5) (3 x - 3) d x

Frequently Asked Questions (FAQ)

What is the integral of ln|t| ?
The integral of ln|t| is tln|t|-t+C