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For any function , we have: where . Based on above information, evaluate: .

Mathematics20254 marksShort answer
For any function $f(x)$, we have: $\int_a^b f(x) \, dx = \int_a^{c_1} f(x) \, dx + \int_{c_1}^{c_2} f(x) \, dx + \dots + \int_{c_n}^b f(x) \, dx$ where $a < c_1 < c_2 < \dots < c_n < b$. Based on above information, evaluate: $\int_0^2 |x^2 + 2x - 3| \, dx$.

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Integrals

From ISC 2025 Practice Mathematics, question 107.