calculus  PLEASE HELP!
posted by anonymous .
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 onein 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.
Respond to this Question
Similar Questions

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 … 
calculus
evaluate the intergral using substitution ingergral[(x^2e^3x)/(x^3e^3x)^2]dx 
CALCULUS
FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD X^3+X^2/3X^4+4X^3 DX 
CALCULUS
FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD ç(X^416)^5 X^3 DX 
CALCULUS
FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD çX^3+X^2/3X^4+4X^3 DX 
Calculus
FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD çe^3X DX 
Calculus I
Section is Integration by Substitution: Evaluate the indicated integral. x^2 sec^2 x^3dx 
calculus
Evaluate the following integrals using the given substitutions. (a) (3x^2 + 10x)dx/(x^3 + 5x^2 + 18 , substitution u = x3 + 5x2 + 18; (b)(14x + 4)cos(7x^2 + 4x)dx,substitution u = 7x^2 + 4x. 
Calculus
Find the integral from 0 to 2 of xsqrt(5sqrt4x^2)). The hint said to use substitution of u=sqrt(4x^2), and that I needed one more substitution, but I don't know how to do it. 
Calculus
Hi, could you help me with this one please?