Explore BrainMass

Explore BrainMass

    Integration Techniques and Applications

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1. Find the indefinite integrals for the following functions:

    a. f(X) = 10000

    b. f(X) = 20X

    c. f(X) = 1- X2

    d. f(X) = 5X + X-1

    e. f(X) = 12- 2X

    f. f(X) = X3 + X4

    g. f(X) = 200X - X2 + X100

    2. Find the definite integral for the following functions:

    a. f(X) = 67 over the interval [0,1]

    b. f(X) = 30X over the interval [0,2]

    c. f(X) = 2- X2 over the interval [2, 4]

    d. f(X) = 2- X2 over the interval [3, 4.5]

    e. f(X) = 12- 2X over the interval [0, 1]

    f. f(X) = X3 + X4 over the interval [0, 3]

    g. f(X) = 50X - X2 + X10 over the interval [0, 1]

    © BrainMass Inc. brainmass.com March 4, 2021, 6:23 pm ad1c9bdddf
    https://brainmass.com/math/integrals/integration-techniques-and-applications-42808

    Solution Preview

    1. Find the indefinite integral for the following functions:
    a. f(X) = 10000
    ∫f(X) = ∫10000 = 10000 X

    b. f(X) = 20X
    ∫f(X) = ∫20x = 10 X2

    c. f(X) = 1- X2
    ∫f(X) = ∫(1- X2) = ∫1 -∫X2 = x - 1/3 *X3

    d. f(X) = 5X + X-1
    ∫f(X) = ∫(5X + X-1) = 5∫x +∫X^-1 = 5/2 x2 + ln X

    e. f(X) = 12- 2X
    ∫f(X) = ∫(12- 2X ) = ∫12 -∫2x = 12x - X2

    f. ...

    Solution Summary

    Fourteen definite and indefinite integrals are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

    $2.49

    ADVERTISEMENT