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Popular >

integral of e^t 1/t

Solution

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

Solution

Ei (t) + C

Solution steps

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

Simplify

e^{t} \frac{1}{t} : \frac{e ^{t}}{t}

= \int \frac{e ^{t}}{t} d t

Use the nonelementary integral:

\int \frac{e ^{x}}{x} d x = Ei (x)

= Ei (t)

Add a constant to the solution

= Ei (t) + C

Popular Examples

integral of (x^2-sec^2(x))

\int (x^{2} - sec^{2} (x)) d x

integral of e^x(2x-1)

\int e^{x} (2 x - 1) d x

integral of 2^x*5^x

\int 2^{x} \cdot 5^{x} d x

integral of sqrt((x-1)^3)

\int (x - 1)^{3} d x

integral of u^{-5}(2-u^5+u^{10})

\int u^{- 5} (2 - u^{5} + u^{10}) d u

Frequently Asked Questions (FAQ)

What is the integral of e^t 1/t ?
The integral of e^t 1/t is \Ei(t)+C