Section 6.3: Problem 8 Previous Problem Problem List Next Problem (1 point) Evaluate the integral. -30ex - 120 e2x + 11ex + 24 dx Answer = +C Preview My Answers Submit Answers You have attempted this problem 0 times.(1 point) a) Consider the function arctan(x2). Write a partial sum for the power series which represents this function consisting of the first 4 nonzero terms. For example, if the series were _n= 3" x2 , you would write 1 + 3x2 + 32 x4 + 35x. Also indicate the radius of convergence. Partial Sum: -X12 Radius of Convergence: b) Use part a) to write the partial sum for the power series which represents / arctan(x2 )dx. Write the first 4 nonzero terms. Also indicate the radius of convergence. Partial Sum: Radius of Convergence: c) Use part b) to approximate the integral , arctan(x2 )dx.\fSection 8.6: Problem 10 (1 point) Consider the function arctan(x/ 15). Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were 22:0 3nx2\