- #1
Lo.Lee.Ta.
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1. Find volume between f(x) = x, g(x)= sin(sqrt(5x+3)), x=1, and x=2, when revolved around y=4.
2. Would it be correct to write the integral like this?
∫1 to 2 of [[itex]\pi[/itex](4 - sin(√(5x + 3))2 - [itex]\pi[/itex](4 - x)2]
I am using the washer method, and for the gap that's in the middle I usually think about it by saying r= inner curve - axis of rotation.
R= outer curve - axis of rotation
But in this case the axis of rotation is above the function, so would it be r= 4 - inner curve
and R= 4 - outer curve?
Thanks! :)
2. Would it be correct to write the integral like this?
∫1 to 2 of [[itex]\pi[/itex](4 - sin(√(5x + 3))2 - [itex]\pi[/itex](4 - x)2]
I am using the washer method, and for the gap that's in the middle I usually think about it by saying r= inner curve - axis of rotation.
R= outer curve - axis of rotation
But in this case the axis of rotation is above the function, so would it be r= 4 - inner curve
and R= 4 - outer curve?
Thanks! :)