Calculus

posted by .

U substitution on indefinite integral/antiderivative.

(t^3+4)^-2 t^2

On this should I use u on the parenthesis and should I put this into a natural log?

  • Calculus -

    if you let
    u = t^3+4 then
    du = 3t^2 dt

    Now your integrand becomes

    u^-2 (du/3) = 1/3 u^-2 du

    that should be a cinch.

  • Calculus -

    Yes, had just finished getting it! Thanks!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Business Calculus

    The indefinite integral, or which call the "antiderivative", of f'(x)=6x-8x^3 is f(x) = 3x^2 - 2x^4 + C where C is any constant. Plug in x = 2 to that to see what C is. 3 = 3*4 - 2*16 + C Determine the antiderivative of the following …
  2. Calculus

    Hello, I have some calculus homework that I can't seem to get started..at least not on the right track?
  3. Calculus

    so we are doing integrals and I have this question on my assignment and I can't seem to get it, because we have the trig substituion rules, but the number isn't even so its not a perfect square and I just cant get it, so any help would …
  4. calculus

    use substitution to find the indefinite integral (x^3+3x)(x^4+6x^2+8)^9dx
  5. Calculus :)

    Use the substitution x=2tan(theta) to evaluate the indefinite integral 53dx/(x^2sqrt(x2+4))
  6. Calc BC

    1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral. Indefinite …
  7. Calc

    Use substitution to evaluate the indefinite integral: The integral of [ (sq. root (1 + ln x)) ((ln x)/x) dx] Im confused on what i should substitute u and du for. Thank you so much!!
  8. Calculus (Antiderivatives)

    Suppose f(x) is a continuous function. Then a function F(x) such that F'(x) = f(x) is called: A.) the indefinite integral of f B.) the antiderivative of f C.) an antiderivative of f D.) a definite integral of f E.) All of the above
  9. Calculus

    "Leave the answer as a definite integral, but indicate how it could by evaluated by using the fundamental theorem of calculus." I solved the problem to a definite integral. Proceeding via the fundamental theorem, would involve finding …
  10. Calculus

    Use the substitution x=3tan() to evaluate the indefinite integral 93dx/(x^2sprt(x^2+9))

More Similar Questions