Calculus Help!!
Evaluate the indefinite integral as an infinite series
∫sinx /3x dx.
Find the first five non-zero terms of series representation centered at x=0.
f(x)=
What is the radius of convergence?
i think it is infinity!!
Note: Remember to include an arbitrary constant "C".

Question

Calculus Help!!
Evaluate the indefinite integral as an infinite series 
∫sinx /3x  dx. 
Find the first five non-zero terms of series representation centered at x=0.
f(x)= 
What is the radius of convergence? 
i think it is infinity!!
Note: Remember to include an arbitrary constant "C".

anonymous · Answer

Not too sure how to include the constant in the first term.

anonymous · Answer

So I assume you do this by writing sin(x) as a series, and then integrating each term separately?