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find the length of the curve y=(1/3)(x^2+2)^3/2 ?

find the length of the curve y=(1/3)(x^2+2)^3/2 ?

Grade:11

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
Length : root ( dy^2 + dx^2) and then its integral..
dL = dx * root (dy/dx^2 + 1)
dL = dx * root ( x^4 + 2x^2 + 1)
dL = dx * (x^2 + 1)
Integrate it and now put the limits. This is the answer
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi

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