Mathematics · essential

Integral of derivative over function for JEE

Evaluation of simple integrals of standard algebraic/trigonometric forms

Formula

\[\int \frac{f'(x)}{f(x)}\,dx=\log|f(x)|+C\]

Variables: \(f(x)\) differentiable.

Conditions: \(f(x)\neq 0\).

Substitution; logarithmic form detection.

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