COMEDK · Maths · 30. Definite Integration
\(\int_0^2\left|x^2+2 x-3\right| d x \text { is equal to }\)
- A 3
- B 2
- C 4
- D 6
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
Let \(f(x) = x^2 + 2x - 3\). We factorize the quadratic expression as \(f(x) = (x+3)(x-1)\). The roots of \(f(x) = 0\) are \(x = -3\) and \(x = 1\). In the interval \([0, 2]\), the function \(f(x)\) changes sign at \(x = 1\). For \(0 \le x < 1\), \(x^2 + 2x - 3 < 0\), so…
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