What is the integral from e^9 to e^{49 of} 1/(xsqrt(ln(x))) ?

The integral from e^9 to e^{49 of} 1/(xsqrt(ln(x))) is 8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from e^9 to e^{49 of} 1/(xsqrt(ln(x)))

\int_{e^{9}}^{e^{49}} \frac{1}{x ln ( x )} d x

8

Solution steps

\int_{e^{9}}^{e^{49}} \frac{1}{x ln ( x )} d x

Apply u-substitution

: \int_{9}^{49} \frac{1}{u} d u

= \int_{9}^{49} \frac{1}{u} d u

Apply the Power Rule

: [2 u^{\frac{1}{2}}]_{9}^{49}

= [2 u^{\frac{1}{2}}]_{9}^{49}

Apply radical rule:

a^{\frac{1}{n}} = n a

= [2 u]_{9}^{49}

Compute the boundaries:

8

= 8

\int_{2}^{3} (x - 1)^{2} d x

\int_{- 6}^{3} - x^{2} - 3 x d x

\int_{- 8}^{8} e d x

\int_{0}^{2} x^{2} sin (y) d x

\int_{0}^{9} e^{x} d x

What is the integral from e^9 to e^{49 of} 1/(xsqrt(ln(x))) ?
The integral from e^9 to e^{49 of} 1/(xsqrt(ln(x))) is 8