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$\int_{-1}^{3}\left(\frac{5}{2}x+\frac{5}{2}-x^2-\frac{1}{2}x+\frac{1}{2}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 5/2x+5/2-x^2-1/2x+1/2 from -1 to 3. Simplifying. Simplify the expression inside the integral. The integral \int_{-1}^{3}3dx results in: 12. The integral \int_{-1}^{3}2xdx results in: 8.