What is ∫ x e^(11x) dx?
∫ x e^(11x) dx क्या है?
Show answer and explanation
Correct Answer
A. e^(11x)(x / 11-1 / 121)+C
ExplanationStep 1: use integration by parts. Step 2: ∫x e^(11x)dx = x e^(11x)/11 - ∫e^(11x)/11 dx, so answer is e^(11x)(x/11-1/121)+C. Step 3: tip: by parts is useful for algebraic × exponential.
Step 1: integration by parts use करें। Step 2: ∫x e^(11x)dx = x e^(11x)/11 - ∫e^(11x)/11 dx, इसलिए answer e^(11x)(x/11-1/121)+C। Step 3: tip: algebraic × exponential में by parts useful है।