Integration — Question 53
Original QCE Vault practice · 1 mark
Q53 · Practice questionSimple familiar1 mark
QUESTION 53
An antiderivative of x3+43x2 is (A)3ln∣x3+4∣+c (B)ln∣x3+4∣+c (C)x3+41+c (D)x3ln∣x3+4∣+c WORKED SOLUTION
Answer B
1 markWorked solution
Let u=x3+4, so du=3x2dx. The integral becomes ∫du/u=ln∣u∣+c=ln∣x3+4∣+c. Selects the correct option.
[1 mark]Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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