Evaluate the indefinite integral as a power series: Indefinite Integral of arctan(x^2)dx Find the first five non-zero
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Question:
Evaluate the indefinite integral as a power series:
Indefinite Integral of arctan(x^2)dx
Find the first five non-zero terms of power series representation centered at x=0
What is the radius of convergence?
Ive gotten the problem to the point where the integral equals: x^3/3-x^7/21+x^11/55-x^15/105+x^19/171...
but Ive been stuck and confused as to how I use that to find the first five nonzero terms. Can anyone help me with this? Also, I got it to where the general expression is SIgma n=0 to infinity (-1)^n * (x^2)^(4n+3)/((2n+1)*(4n+3)) + C
Am I on the right track so far? If not where am I going wrong?
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