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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

derivative of ln(2-3x)

\frac{d}{d x} (ln (2 - 3 x))

area 11x,x^2-12 area

11 x, x^{2} - 12

slope of (-1,-1),(0,0)slope

(- 1, - 1), (0, 0)

derivative of sin(x+pi/2)derivative of

sin (x + \frac{π}{2})

y^'=(y^2+2xy)/(x^2)

y^{^{'}} = \frac{y ^{2} + 2 x y}{x ^{2}}

Frequently Asked Questions (FAQ)

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