Question 838142: step 1: 30/π∫ max: 2 min: 0) (π/6)*sec((πx)/6)dx = 30/π(ln|sec((xπ)/6)+tan((xπi)/6)|] (max: 2 min: 0)
step 2: = 30/π(ln|sec((π)/__?__)+tan((π)/__?__)| - ln|1+0|]
step 3: = (30/π)ln(__?__+sqrt(__?__))
step 4: = __?__ (rounded to three decimal places)
step 5: Thus the area of the bounded region is approximately __?__ (rounded to three decimal places).
Can you please tell me what to put where it reads __?__ Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! Apparently you are integrating the function
to find the area under the curve between and .
step 1:
The antiderivative or indefinite integral of the function is the function
The definite integral between the limits and is calculated as .
For , so
For , so
step 2: = , , and , so (rounded to three decimal places).
step 3: =
My calculator says that
step 4: =
