2.Practice simmar
Use the Taylor series of degree 5 about a=0 for f(e)nin a to approximate the following integral
a. First, calculate the Taylor seties of degree & about a = 0 for sin z.
P()=
sin va da
b. Now substitute va in for a into the Taylor series you found in Part a
P(√)-
c. Replace the integrand, sin √, with PV) from Part b. and compute this new integral to approximate the original integral. Round your answer to within three
decimal places.
in V de PV) dz-[
=