AP EAMCET202421 May 2024Morning ShiftMathematicsIndefinite IntegrationActual

If ₁^n[x] d x=120 , then n=

Options

Correct answer

B. 16

Step-by-step solution

aligned & I = ₁^n[x] d x=120 & ₁^2 1 d x+ ₂^3 2 d x+ ₃^4 3 d x+ + _ n-1 ^n(n-1) d x=120 & 1+2+ +n-1=120 (n-1) n 2 =120 & n=16,-15 (rejected) n=16 aligned

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