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Tool for teaching Integration by Parts & Substitution

I'm new to using Wolfram Alpha for teaching, having switched from Maple.

When teaching calculus with Maple in our computer lab, I had students use the "changevar" command as a tool for gaining an intuition of what makes an appropriate substitution when discussing the integration by substitute method. For example,

Original:=Int((cos(x)+1)^3*sin(x),x)

New:=changevar(cos(x)+1=U,Original,U)

takes the original integral and constructs a new integral in terms of the variable, U. The idea is to get students to experiment with various choices for U, see what works best, and perform the algebra/substitution details outside of class.

There is an analogous tool for integration by parts.

Are there similar commands in Wolfram Alpha?

POSTED BY: Paul Fishback
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