Evaluate the integral ∫14(1+ln⁡x)xx dx \$$int_1^4 (1$$ + \ln x) x^x \, dx .

Integrals Involving Logarithmic Functions

10. Integrals of Inverse, Exponential, & Logarithmic Functions / Integrals Involving Logarithmic Functions / Problem 1

Problem 1

Evaluate the integral $\int_{1}^{4} (1 + \ln x) x^{x} d x$ .

$255$

$257$

$64$

$256$