Use a power series to approximate the definite integral arctan(5x) dr Enter the first 3 non-zero...

 

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Use a power series to approximate the definite integral arctan(5x) dr Enter the first 3 non-zero terms in the power series representation of the following functions: r arctan(52) | rarctan(5z)dz=C+ +... +... 0.1 Approximate the definite integral using the first 2 terms only: r arctan(5x)dr s Using the Alternating series test, the error in using the first two terms only to approximate this integral is (enter 6 digits after the decimal point) E < (enter 6 digits after the decimal point) Use a power series to approximate the definite integral arctan(5x) dr Enter the first 3 non-zero terms in the power series representation of the following functions: r arctan(52) | rarctan(5z)dz=C+ +... +... 0.1 Approximate the definite integral using the first 2 terms only: r arctan(5x)dr s Using the Alternating series test, the error in using the first two terms only to approximate this integral is (enter 6 digits after the decimal point) E < (enter 6 digits after the decimal point)