. Use the power series representation: 1 1+x ==0(-1)"x"=1-x+x²-x³+.... - a. Find a power series representation for functionf (x) = 1 1+x5' b. Use the above power series representation to approximate the integral accurate within five decimal places. 0.4 1 c. Use the Simpson's Rule with N = 4 to approximate the integralf work. 1+x5 0.4 1 dx 1+x5 dx. Show your

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