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MHT CET202410 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

If d d x f (x)=4 x^3- 3 x^4 such that f (2)=0 , then f (x) is equal to

Options

  1. Ax^4+ 1 x^3 + 129 8
  2. Bx^4+ 1 x^3 - 129 8
  3. Cx^3+ 1 x^4 + 129 8
  4. Dx^3+ 1 x^4 - 129 8

Correct answer

B. x^4+ 1 x^3 - 129 8

Step-by-step solution

Given that f ^ (x)=4 x^3-3 x⁻⁴ array ll & f (x)= (4 x^3-3 x⁻⁴ ) d x & f (x)=x^4+ 1 x^3 + c array Given that f (2)=0 array ll & 16+ 1 8 +c=0 & c= -129 8 & f (x)=x^4+ 1 x^3 - 129 8 array

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