What is the arclength of #f(x)=(x^2+24x+1)/x^2 # in the interval #[1,3]#?
so we get
so we get
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=x^3#, #y=1#and #x=2 # about the y axis?
- What is the arc length of #f(x) = x^2-ln(x^2) # on #x in [1,3] #?
- How do you find the volume of the solid obtained by rotating the region bounded by the curves #f(x) = 3x^2# and #f(x) = 5x+2 # about the x axis?
- How do you find the volume bounded by #y=(x^3)/3#, x=1, and the x-axis revolved about the x=axis?
- What is the arc length of #f(x)=(x^3 + x)^5 # in the interval #[2,3]#?

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