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Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.

power series expansions for sine

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questions on radius of convergence

Student is given two points defined symbolically, and must find the equation of the line they define, then use integration to find an equation for the area under the line, bounded by the x-axis and vertical lines through the two points.   

Student estimates, then calculates exactly and symbolically the value of $k$ for a parabola $y = k x^2$ which passes through a given point.

Homework set.  Use integration to find the centroid of shapes bounded by functions.

Use a substitution to simplify an integral.

Series Homework 2

alternating series