Evaluate the Integral ∫ dx / (x + x log x) | Easy Substitution Method | State board
1:44
YouTubeTrigonometry&Calculus
Evaluate the Integral ∫ dx / (x + x log x) | Easy Substitution Method | State board
In this video, we evaluate the integral: ∫ dx / (x + x log x) Step-by-step solution: First, factor x from the denominator: x + x log x = x(1 + log x) So the integral becomes: ∫ dx / [x(1 + log x)] Substitution: Let t = 1 + log x Then dt = dx / x Now the integral changes to: ∫ dt / t Final Answer: ∫ dt / t = log |t| + C Substituting back ...
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