Engineering Board Exam Reviewer · Trigonometric Integrals and Substitution · medium

Evaluate: 1 - x2 + 4 x + 5,dx (for -1<x<5)

  1. ≤ft(x - 2 )+C
  2. ≤ft(x/3 - 2/3 )3+C
  3. ≤ft(x/3 - 2/3 )+C
  4. ≤ft(x/3 - 2/3 )+C

Answer

C. ≤ft(x/3 - 2/3 )+C

Solution

Complete the square: 5+4x-x2=9-(x-2)2. Then dxsqrt(32-(x-2)2)= -2/3+C.

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