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The integral of \( y^2 - 3y + 5 \) with respect to \( y \) is:

\[
\int (y^2 - 3y + 5) \, dy = \frac{y^3}{3} - \frac{3y^2}{2} + 5y + C
\]

where \( C \) is the constant of integration.

Would you like further details on this, or do you have any questions? Here are 5 related questions to explore:

1. How would you evaluate this integral over a specific interval, such as \( y = 1 \) to \( y = 4 \)?
2. What is the geometric interpretation of this integral?
3. How does changing the constants in the expression affect the result?
4. What happens if you integrate similar expressions with higher powers of \( y \)?
5. How can definite integrals be applied in physics problems?

**Tip:** Always include the constant of integration \( C \) when computing indefinite integrals.

The integral of (y^2 - 3y + 5) with respect to y.

Learn how to compute the integral of the polynomial function y^2 - 3y + 5 with respect to y. This problem involves key calculus concepts such as integration and the fundamental theorem of calculus. Suitable for students in Grades 11-12.

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