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Manipal MET2023MathematicsIndefinite Integration

f(x) d x=g(x) , then x f( x) d x is equal to

Options

  1. Ag( x)+C
  2. Bg( x)+C
  3. Cg(x)+ x+C
  4. Df( x)+g( x)+C

Correct answer

B. g( x)+C

Step-by-step solution

Here, f(x) d x=g(x) Now, x f( x) d x Let, x=k x d x=d k f(k) d k=g(k)+C=g( x)+C

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