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Popular >

integral of 1 1/t

Solution

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

Solution

ln ∣ t ∣ + C

Solution steps

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

Simplify

= \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

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x^{11} arccos (x)

area x^3-8x^2+18x-5,x+5 area

x^{3} - 8 x^{2} + 18 x - 5, x + 5

derivative of (3x+2/(x^2+1))

\frac{d}{d x} (\frac{3 x + 2}{x ^{2} + 1})

tangent of g(x)=e^{x^5},(-1, 1/e)tangent of

g (x) = e^{x^{5}}, (- 1, \frac{1}{e})

(\partial)/(\partial x)(2ln(x))

\frac{\partial}{\partial x} (2 ln (x))

Frequently Asked Questions (FAQ)

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