Final answer to the problem
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function xy^2 from 1 to 2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplify the expression.