What is the integral of ln(ln(x)) ?

The integral of ln(ln(x)) is xln(ln(x))-\Ei(ln(x))+C

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integral of ln(ln(x))

\int ln (ln (x)) d x

x ln (ln (x)) - Ei (ln (x)) + C

Solution steps

\int ln (ln (x)) d x

Apply Integration By Parts

: x ln (ln (x)) - \int \frac{1}{ln ( x )} d x

= x ln (ln (x)) - \int \frac{1}{ln ( x )} d x

\int \frac{1}{ln ( x )} d x = Ei (ln (x))

= x ln (ln (x)) - Ei (ln (x))

Add a constant to the solution

= x ln (ln (x)) - Ei (ln (x)) + C

\frac{d}{d x} (cot (x) + tan (x))

f (x) = x^{2}, (1, 1)

\int x^{\frac{- 7}{3}} d x

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

(15, 250), (25, 28)

What is the integral of ln(ln(x)) ?
The integral of ln(ln(x)) is xln(ln(x))-\Ei(ln(x))+C