Q.NO.4: Find the arc length of the graph of r(t).
r(t)=(t^2)i +(cost + t sint)j +(sint- t cost)k , 0≤t≤π
2 answers
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s = ∫[0,π] √((2t)^2+(t cost)^2+(t sint)^2) dt
= ∫[0,π] √(4t^2+t^2) dt = √5/2 π^2
= ∫[0,π] √(4t^2+t^2) dt = √5/2 π^2