Evaluate $\int_{1}^{e} \frac{\ln x}{x}\, dx$

Question

Accepted Answer

$\frac{1}{2}$. Let u = ln x, then du = dx/x. The integral becomes ∫₀¹ u du = [u²/2]₀¹ = 1/2 - 0 = 1/2. When x = 1, u = 0; when x = e, u = 1. The answer is 1/2.

Answer

A) 1

Answer

B) $\frac{1}{2}$

Answer

C) $e$

Answer

D) 0

Evaluate $\int_{1}^{e} \frac{\ln x}{x}\, dx$

Practice more Further Mathematics questions