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Popular >

integral of (1/t)

Solution

\int (\frac{1}{t}) d t

Solution

ln ∣ t ∣ + C

Solution steps

\int \frac{1}{t} d t

Use the common integral:

\int \frac{1}{t} d t = ln (∣ t ∣)

= ln ∣ t ∣

Add a constant to the solution

= ln ∣ t ∣ + C

Popular Examples

derivative of 5+8x^{3/2}

\frac{d}{d x} (5 + 8 x^{\frac{3}{2}})

limit as x approaches infinity of x*(-2)

x \to \infty lim (x \cdot (- 2))

derivative of 5sin(5x)

\frac{d}{d x} (5 sin (5 x))

limit as x approaches 5 of (sqrt(x+4-3))/(x-5)

x \to 5 lim (\frac{x + 4 - 3}{x - 5})

integral of x^3-4x^2-x+4

\int x^{3} - 4 x^{2} - x + 4 d x

Frequently Asked Questions (FAQ)

What is the integral of (1/t) ?
The integral of (1/t) is ln|t|+C