∫ e x ( l n x 1 − x ( l n x ) 2 1 ) d x equals

The integrand is the derivative of e x / ln x , because d x d ( l n x e x ) = e x ( l n x 1 − x ( l n x ) 2 1 ) .

Start Free Mock LoginAlready registered? Login here

Mathematics - Indefinite Integration Question with Solution | TestHub

MathematicsIndefinite IntegrationManipulating IntegrandsMedium2 minQB

MathematicsMediumsingle choice

$\int e^{x} (\frac{1}{l n x} - \frac{1}{x ( l n x ) ^{2}}) d x$ equals

Options:

Answer:

Solution:

The integrand is the derivative of $e^{x} / ln x$ , because $\frac{d}{d x} (\frac{e ^{x}}{l n x}) = e^{x} (\frac{1}{l n x} - \frac{1}{x ( l n x ) ^{2}})$ .

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Manipulating Integrands

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...