What is the integral of 1/(xsqrt(1+ln(x))) ?

The integral of 1/(xsqrt(1+ln(x))) is 2sqrt(1+ln(x))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(xsqrt(1+ln(x)))

\int \frac{1}{x 1 + ln ( x )} d x

2 1 + ln (x) + C

Solution steps

\int \frac{1}{x 1 + ln ( x )} d x

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Apply the Power Rule

: 2 u^{\frac{1}{2}}

= 2 u^{\frac{1}{2}}

Substitute back

u = 1 + ln (x)

= 2 (1 + ln (x))^{\frac{1}{2}}

Apply radical rule:

= 2 1 + ln (x)

Add a constant to the solution

= 2 1 + ln (x) + C

\int_{0}^{\frac{π}{2}} sin (t) d t

\frac{d}{d x} (\frac{e ^{x}}{4 x})

\int_{0}^{4} (2 x)^{2} d x

9 x, 1, 9

\frac{\partial}{\partial x} (sin^{8} (x - 4 y))

What is the integral of 1/(xsqrt(1+ln(x))) ?
The integral of 1/(xsqrt(1+ln(x))) is 2sqrt(1+ln(x))+C