Hard Math Class 12 Level 4

What is ∫ x e^(6x) dx?

∫ x e^(6x) dx क्या है?

Show answer and explanation
Correct Answer

C. e^(6x)(x / 6-1 / 36)+C

Explanation

Step 1: use integration by parts. Step 2: ∫x e^(6x)dx = x e^(6x)/6 - ∫e^(6x)/6 dx, so answer is e^(6x)(x/6-1/36)+C. Step 3: tip: by parts is useful for algebraic × exponential.

Step 1: integration by parts use करें। Step 2: ∫x e^(6x)dx = x e^(6x)/6 - ∫e^(6x)/6 dx, इसलिए answer e^(6x)(x/6-1/36)+C। Step 3: tip: algebraic × exponential में by parts useful है।

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