Which of the following integrals represents the length of th

Which of the following integrals represents the length of the curve x^2/81+y^2/36=1?

a. integral from -9 to 9 of (1 + 36x^2 / 6(9-x^2))^1/2 dx
b. integral from -9 to 9 of (1+ 36x^2 / 81(9-x^2))^1/2 dx
c. integral from -6 to 6 of (1+ 36x^2 / 81(9-x^2))^1/2 dx
d. integral from -6 to 6 of (1 + 36x^2 / 6(9-x^2))^1/2 dx
f. integral from -9 to 9 of (1 + 36x^2 / 81(81-x^2))^1/2 dx
e. integral from -6 to 6 of (1 + 36x^2 / 81(81-x^2))^1/2 dx
[I got a which is wrong]

Solution

d. integral from -6 to 6 of (1 + 36x^2 / 6(9-x^2))^1/2 dx
Which of the following integrals represents the length of the curve x^2/81+y^2/36=1? a. integral from -9 to 9 of (1 + 36x^2 / 6(9-x^2))^1/2 dx b. integral from

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