A trigonometric function, 
, is defined as follows:
, is defined as follows:
, x in radiansApplying recursively we define another function 
, for integer n:
recursively we define another function , for integer n:
We then define 
as the sum of value of R from 1 to n:
as the sum of value of R from 1 to n:
Finally, we are asked to evaluate the integral of S with respect to x, over the real range 
:
:
For example for 
, 
, 
, we have:
, , , we have: >> a = integral(@(x) sin(atan(x))+sin(atan(sin(atan(x))))+sin(atan(sin(atan(sin(atan(x)))))),pi,2*pi)
a = 7.05797686912156
Please present the final output rounded-off to 6 decimal places. Therefore the final answer is 
.
.-------------------------
NOTE: There are a number of ways to do numerical Integration in Matlab. Just make sure that the output would be accurate within 6 decimal places of the value obtained using the integral function shown above.
Solution Stats
Problem Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers5
Suggested Problems
-
Return the 3n+1 sequence for n
8513 Solvers
-
4505 Solvers
-
4525 Solvers
-
730 Solvers
-
Determine if input is divisible by three.
243 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
