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NDA2023MathematicsIndefinite IntegrationActual

Paragraph: Let f(x)=P e^x+Q e^ 2 x +R e^ 3 x , where P, Q, R are real numbers. Further f(0)=6, f^ ( 3)=282 and ₀^ 2 f(x) d x=11 Question: What is the value of R ?

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

Q=2 R= 30-3 Q 8 = 30-6 8 =3

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