Ask Question
17 August, 14:49

If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2 times f of 2 times x, dx.

+2
Answers (1)
  1. 17 August, 16:50
    0
    Answer: 10

    Step-by-step explanation:

    Since integral from 1 to 4 of f (x) = 10

    To evaluate integral from 2 to 8 of 2 times f (2x), using substitution method

    Let U = 2x, dU = 2dx, dx = dU/2

    Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.

    Since this limit are the same as the limit for the question,

    Therefore, F (4) - F (1) = F (8) - F (2) = 10

    Substituting dx=dU/2

    Gives,

    Integral from 2 to 8 of 2 times f (2x) = (1/2) (2) (F (8) - F (2)) = 10
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2 times f of ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers