Homework Help: calc

Posted by tyler on Wednesday, January 31, 2007 at 10:08pm.

i need to find the definite integral from 0 to 2|b| of ....

x divided by sqrt(x^2 + b^2) dx

im having a lot of trouble, thanks in advance

Let u = x^2 + b^2
du = 2x dx
The integrand becomes
(1/2) u^(-1/2) du
and the integral of this is u^(1/2)
= sqrt(x^2 + b^2)
Evaluate this between your limits.

First set u = x^2 + b^2
du = 2(x+b)or 2x + 2b

It would be very tedious to try to solve this on line with no signs for integral, radical, etc. But above is the first step to solving this problem. You must first find du. As you can see, you'll have some messy exponents to work with, something that would be very difficult to do here.

Is b a constant? This entire thing is crazy. Where is the dx?

If b is a constant,

du=2x dx

No one has answered this question yet.

Answer this Question

Related Questions

ap calculus - Which of the following definite integrals gives the length of y = ...
calc check: curve length - Find the length of the curve y=(1/(x^2)) from ( 1, 1...
calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...
Calc 2 - Evaluate the definite integral from 0 to 1 of (x^2)sqrt(5x+6)dx
Calc BC - 1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2...
calc: arc length - find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x...
calc: avg value - Find the average value of the function "f(x) = x^2 sqrt(...
Calculus - I am having a lot of trouble doing these types of problems. Can ...
calculus - Calculate definite integral of dx/(x^4 * sqrt(x^2 + 3)) Over (1,3) I ...

For Further Reading

First Name:
School Subject:
Answer: