Math Problem Statement

Evaluate the definite integral \( \int_{-1}^{2} (x - 1)^2 \, dx \).

Solution

To solve the integral:

[ \int_{-1}^{2} (x - 1)^2

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Math Problem Analysis

Mathematical Concepts

Calculus
Definite Integrals
Polynomial Functions

Formulas

\( \int x^n \, dx = \frac{x^{n+1}}{n+1} + C \)

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12 or College Level