Evaluate the integral ∫2032x2+4dx. Your answer should be in the form kπ, where k is an integer. What is the value of k? (Hint: darctan(x)dx=1x2+1 ) k= 4 (b) Now, lets evaluate the same integral using power series. First, find the power series for the function f(x)=32x2+4. Then, integrate it from 0 to 2, and call it S. S should be an infinite series ∑[infinity]n=0an . What are the first few terms of S?

Here is the correct computation of the question;

Evaluate the integral :

Your answer should be in the form kπ, where k is an integer. What is the value of k?

(Hint:  )

k = 4

(b) Now, lets evaluate the same integral using power series.

Then, integrate it from 0 to 2, and call it S. S should be an infinite series

What are the first few terms of S?

(a) The value of k = 4

(b)

Step-by-step explanation:

(a)

The value of k = 4

(b)

the correct answer is semicircle

step-by-step explanation:

the answer is semicircle because the shorter arc joining two points on the circumference of a circle is known as the minor arc, the larger arc is called the major arc, and a semicircle is a half circle, formed by cutting a whole circle along a diameter line.

hope i .