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Popular >

integral of 1+2/t

Solution

\int 1 + \frac{2}{t} d t

Solution

t + 2 ln ∣ t ∣ + C

Solution steps

\int 1 + \frac{2}{t} d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d t + \int \frac{2}{t} d t

\int 1 d t = t

\int \frac{2}{t} d t = 2 ln ∣ t ∣

= t + 2 ln ∣ t ∣

Add a constant to the solution

= t + 2 ln ∣ t ∣ + C

Popular Examples

integral of cot(17x)

\int cot (17 x) d x

integral of (cos(x)+1/3 x)

\int (cos (x) + \frac{1}{3} x) d x

integral of e^{x-1}+x^{-2}

\int e^{x - 1} + x^{- 2} d x

integral of-x^2+3x

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

derivative of (x-cos(x)/(x^2+cot(x)))

\frac{d}{d x} (\frac{x - cos ( x )}{x ^{2} + cot ( x )})

Frequently Asked Questions (FAQ)

What is the integral of 1+2/t ?
The integral of 1+2/t is t+2ln|t|+C