QCEVault

Integration — Question 114

Original QCE Vault practice · 1 mark

Q114 · Practice questionTechnology-freeComplex familiar1 mark

QUESTION 114

An antiderivative of 5x+7(x+1)(x+2)\frac{5x+7}{(x+1)(x+2)} is
(A)
2ln⁡∣x+1∣+3ln⁡∣x+2∣+C2\ln |x+1|+3\ln |x+2|+C
(B)
5ln⁡∣x+1∣+7ln⁡∣x+2∣+C5\ln |x+1|+7\ln |x+2|+C
(C)
3ln⁡∣x+1∣+2ln⁡∣x+2∣+C3\ln |x+1|+2\ln |x+2|+C
(D)
ln⁡∣(x+1)(x+2)∣+C\ln |(x+1)(x+2)|+C
Question linkSyllabus coverage

Related questions

  1. Q1 · Original practice · 1 mark
    Original Specialist Mathematics practice question 1: integration
    Integration
  2. Q6 · Original practice · 4 marks
    Original Specialist Mathematics practice question 6: partial fractions
    Integration
  3. Q46 · Original practice · 4 marks
    Evaluate exactly ∫0π/2sin⁡2xcos⁡2x dx.\int_0^{\pi/2}\sin^2x\cos^2x\,dx.
    Integration
  4. Q48 · Original practice · 4 marks
    Evaluate exactly ∫012x1+x4 dx.\int_0^1\frac{2x}{1+x^4}\,dx.
    Integration