Integral calculus is about how you get there. Did you use $u$-sustitución? Did you complete the square? Did you use tabular integration for $x^2 e^x$? The best solucionario shows every algebraic manipulation.
Search for: "Instructor's Solutions Manual for Zill Calculus: Early Transcendentals (Spanish)". Universities often have this in the library reserves. Go to the circulation desk and ask for the "Solucionario del profesor." Many libraries will scan the chapter you need for free. Integral calculus is about how you get there
Why it’s hard: Students rotate around the y-axis but integrate with respect to $dx$ incorrectly. The solucionario should include a graph of the region and the axis of rotation. Integral calculus is about how you get there
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