| Use a Maclaurin series to approximate the integral | a/4 cos(x) dx to an accuracy of three decimal aces, namely, so that |error| < 0.001. Clearly state how many terms of the series you are using (for your proximation) and why you chose that many terms.

Find the general expression for coefficient 'an'

2. Compute the indefinite integral [sin(x³) dr as an infinite series. Start by writing down the standard power series for sinx, then modify the series and integrate term by term. Express your answer in sigma notation.

How many nonzero terms of the Maclaurin series for ln(1 + x) do you need to use to estimate ln(1.2) to within 0.000001?

First, copy this Alternating Series to your own paper: 80 Ln(k) k =2 k Second, determine whether it is convergent or divergent, and Third, write an explanation as to why. Note: Ln(k) is the natural log of k.