Approximating definite
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Calculus: Early Transcendentals (2nd Edition)
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- 16 dz 2 + 4 (a) Evaluate the integral: Your answer should be in the form kr, where k is an integer. What is the value of k? Hint: arctan(z) | r2 +1 (b) Now, let's evaluate the same integral using a power series. First, find the power series for the function 16 f(=) Then, integrate it from 0 to 2, and call the result S. S should be an infinite series. r2 + 4 What are the first few terms of S? a, = 32 a2 = 20 128 az = 112 512 a4 = 576 of of ofarrow_forwardPlz complete solution or leave it hanging.arrow_forwardI need the answer as soon as possiblearrow_forward
- Use the following information to complete parts a. and b. below. f(x)= 3/x; a= 3arrow_forwardFind a formula for the power series of f(x) = 3 In (1 + x), –1 , an. n=1 Hint: First, find the power series for g(x) 3 Then integrate. 1 + x (Express numbers in exact form. Use symbolic notation and fractions where needed.) anarrow_forwardCompute the first four terms of the Taylor series for ?(?) = √? about ? = 1⁄4arrow_forward
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