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AP EAMCET · Maths · Indefinite Integration

If dxxx4-1=1ksec-1xk, then the value of k=

  1. A 1
  2. B 2
  3. C 3
  4. D 4
Verified Solution

Answer & Solution

Correct Answer

(B) 2

Step-by-step Solution

Detailed explanation

Given that ∫dxxx4-1 Put x2 = secθ ⇒2x dx = secθ tanθ dθ  = ∫secθ tanθdθ2secθ tanθ  = ∫12dθ =θ2 =12sec-1x2 + c Given that it's…