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$\displaystyle Integral( x * sin (x ^ 3 ) dx )$

Quote: Originally Posted by Baph $\displaystyle Integral( x * sin (x ^ 3 ) dx )$ Given your post title "The definite integral as an infinite series" I'd advise that you start by substituting the Maclaurin Series for $\displaystyle \sin (x^3)$ and integrate term-by-term.