I need help with the following: Find the power series representation of the function defined by: F(x) = the integral from 0 to x of cos (t^{1/2}/2) dt Thanks!!!
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By the second fundamental theorem of calculus, we have . If you find the power series for and integrate it, you will have the power series you need.
Originally Posted by kimsanders82 I need help with the following: Find the power series representation of the function defined by: F(x) = the integral from 0 to x of cos (t^{1/2}/2) dt Thanks!!! We should know that the Taylor series for cosine is Now let This gives Now just integrate both sides from zero to x to get
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