Ask Question
26 November, 03:46

If the integral from 0 to pi/2 of sec^2 (x/k) dx = k find k, where 0 < = k < = pi.

+3
Answers (1)
  1. 26 November, 04:09
    0
    k = 2

    Step-by-step explanation:

    Integral is [k*tan (x/k]

    If its equal to k,

    k*tan (x/k) = I

    tan (x/k) = 1

    x = pi/2 upper limit

    x = 0 lower limit

    tan (pi/2k) - tan (0) = 1

    pi/2k = pi/4

    So, k = 2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “If the integral from 0 to pi/2 of sec^2 (x/k) dx = k find k, where 0 < = k < = pi. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers