The value of is:
The value of $\int_{0}^{3/2} |x| \, dx$ is:
- a$\frac{1}{8}$
- b$\frac{9}{8}$
- c$\frac{9}{4}$
- d$\frac{3}{4}$
Answer
Answer
AIWritten by AI (gemini-2.5-pro) - it can contain mistakes.
Correct option: b
Answer: (b) $\frac{9}{8}$
Since $x \ge 0$ on $[0, 3/2]$, $|x| = x$. Thus, $\int_{0}^{3/2} |x| \, dx = \left[ \frac{x^2}{2} \right]_{0}^{3/2} = \frac{(3/2)^2}{2} = \frac{9}{8}$.
From ISC 2026 Mathematics Paper 1, question 1(v).