(i).
To show: The function
(i).
Explanation of Solution
Given:
The function
Method Used:
Formula:
Proof:
The given function is
Solve the integral
Substitute
Differentiate with respect to ‘ x’ ,
Differentiate again with respect to ‘ x’ ,
Hence, proved.
(ii).
To show: For the function
(ii).
Explanation of Solution
Given:
The result (2) and (3) in part (i)
Method used:
Substitute value of x in the given function.
Proof:
The result (2) in part (i) is
Substitute 1 for ‘ x’ ,
Hence, proved.
The result (3) in part (i) is
Substitute 1 for ‘ x’ ,
Hence, proved.
Chapter 5 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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