calculus -- PLEASE HELP!

Suppose you are trying to evaluate the intergral 2x^3dx and you make the substitution u=x^2. The substitution takes one area and converts it to a different one-in this case a trapezoid with vertical sides. Denote by R the region under the first curve from 3 to 3.01 and estimate it's area. Now sketch the region S that the substitution transformed R into and compute its area. Explain how we converted a trall skinny region into a shorter broader one. Especially explain how the du played a role vs. dx.

  1. ๐Ÿ‘ 0
  2. ๐Ÿ‘Ž 0
  3. ๐Ÿ‘ 40
asked by anonymous

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus I

    Section is Integration by Substitution: Evaluate the indicated integral. x^2 sec^2 x^3dx

    asked by Sandra Gibson on April 14, 2012
  2. calculus

    evaluate the intergral using substitution ingergral[(x^2-e^3x)/(x^3-e^3x)^2]dx

    asked by keisha on April 20, 2010
  3. Calculus

    I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5-(u^2))du I have a feeling I will be able to find

    asked by Jennifer on May 9, 2009
  4. CALCULUS

    FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD ยรง(X^4-16)^5 X^3 DX

    asked by renee on June 28, 2011
  5. CALCULUS

    FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD ยรงX^3+X^2/3X^4+4X^3 DX

    asked by renee on June 28, 2011
  6. CALCULUS

    FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD X^3+X^2/3X^4+4X^3 DX

    asked by renee on June 28, 2011
  7. CALCULUS

    FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD DX/1+5X

    asked by renee on June 28, 2011
  8. Calculus

    FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD ยรงe^3X DX

    asked by renee on June 28, 2011
  9. CALCULUS

    FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD e^3X DX

    asked by renee on June 28, 2011
  10. CALCULUS

    FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD (X^4-16)^5 X^3 DX

    asked by renee on June 28, 2011

More Similar Questions