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]
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