Try another version of this question
Compute the value of the improper integral. (If the integral diverges to `oo`, type oo; if the integral diverges to `-oo`, type -oo; and if the integral diverges for some other reason, type DNE.)
Use your answer to help determine whether the series `sum_(n=2)^(oo) (1)/((8 n-14)^6)` converges or diverges. Enter C if the series is convergent, D if the series is divergent, or ? if the Integral Test does not apply:
`int_2^(oo) (dx)/((8 x-14)^6) = `
Use your answer to help determine whether the series `sum_(n=2)^(oo) (1)/((8 n-14)^6)` converges or diverges. Enter C if the series is convergent, D if the series is divergent, or ? if the Integral Test does not apply:
Get help:
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
`int_2^(oo) (dx)/((8 x-14)^6) = lim_(M->oo) [1/(8) (8 x-14)^(-5)/(-5)]_2^M = 1/1280`
Box 2: Enter your answer as letters. Examples: A B C, linear, a cat
integral is finite, so series converges