Integration — Question 1
Original QCE Vault practice · 1 mark
Q1 · Practice questionSimple familiar1 mark
QUESTION 1
Determine
∫x2+3x+52x+3dx.(A)21ln(x2+3x+5)+c (B)ln(x2+3x+5)+c (C)x2+3x+51+c (D)(2x+3)ln(x2+3x+5)+c WORKED SOLUTION
Answer B
1 markANSWERB. ln(x2+3x+5)+c Sample response and mark allocation
The numerator is the derivative of the denominator:
dxd(x2+3x+5)=2x+3. Therefore the integral is
ln(x2+3x+5)+c.
Selects the correct option.[1 mark]
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabus