Monday

October 20, 2014

October 20, 2014

Posted by **Heather** on Wednesday, October 10, 2012 at 9:08pm.

- Calculus 2 -
**Reiny**, Wednesday, October 10, 2012 at 9:35pmI don't understand why you were instructed to use trig substitution for this question, it is straightforward

You should recognize certain pattern of derivatives and integrals

Notice that the derivative of the denominator is 2x and we have x at the top, so this follows the pattern of log derivatives directly

If we had ∫2x/(x^2 + 4) dx it would simply be ln(x^2 + 4) + c

so for

∫ x/(x^2+4) dx we would get**(1/2) ln(x^2 + 4) + c**

- Calculus 2 -
**Heather**, Wednesday, October 10, 2012 at 9:40pmwe are supossed to do it both ways. i got it using the u-substitution method. we are supossed to show that the answers are equivalent.

**Answer this Question**

**Related Questions**

Calculus 2 - Evalute the integral of x/(x^2+4)dx using u-substitution and then ...

Calculus II - Find x and dx using trigonometric substitution of (integral) ...

Calculus - For the following integral find an appropriate trigonometric ...

Calculus - For the following integral find an appropriate TRIGONOMETRIC ...

Calculus - For the following integral find an appropriate TRIGONOMETRIC ...

Calculus - For the following integral find an appropriate TRIGONOMETRIC ...

Calculus - I have two questions, because I'm preparing for a math test on monday...

calculus - For trigonometric substitution to solve the above integral, fill in ...

calculus - Suppose R is the rectangle 1<=x<=4, |y|<=2 and evaluate the ...

Calculus - Hi there i am having some problems trying to do my calculus homework...