What is ∫ x e^(12x) dx?
∫ x e^(12x) dx क्या है?
Show answer and explanation
Correct Answer
C. e^(12x)(x / 12-1 / 144)+C
ExplanationStep 1: use integration by parts. Step 2: ∫x e^(12x)dx = x e^(12x)/12 - ∫e^(12x)/12 dx, so answer is e^(12x)(x/12-1/144)+C. Step 3: tip: by parts is useful for algebraic × exponential.
Step 1: integration by parts use करें। Step 2: ∫x e^(12x)dx = x e^(12x)/12 - ∫e^(12x)/12 dx, इसलिए answer e^(12x)(x/12-1/144)+C। Step 3: tip: algebraic × exponential में by parts useful है।