# which technique

• Jul 14th 2008, 07:29 PM
shanniepooh2
which technique
Which technique is used to solve a problem that fits this general format: \int f(g(x))g'x(x) dx= F(g(x)) +C?

a. Trigonometric substitution
b. Using previously developed solutions
c. Integration by parts
d. All of the above

MY GUESS IS D
• Jul 14th 2008, 07:31 PM
Mathstud28
Quote:

Originally Posted by shanniepooh2
Which technique is used to solve a problem that fits this general format: \int f(g(x))g'x(x) dx= F(g(x)) +C?

a. Trigonometric substitution
b. Using previously developed solutions
c. Integration by parts
d. All of the above

MY GUESS IS D

If it is D I am in Algebra II. What is the converse of the chain rule?
• Jul 15th 2008, 05:21 AM
mr fantastic
Quote:

Originally Posted by shanniepooh2
Which technique is used to solve a problem that fits this general format: \int f(g(x))g'x(x) dx= F(g(x)) +C?

a. Trigonometric substitution
b. Using previously developed solutions
c. Integration by parts
d. All of the above

MY GUESS IS D

After the substitution u = g(x) is made, option d. would seem the best answer.

Personal opinion: This question you're being asked to answer is dumb. My opinion applies here too: http://www.mathhelpforum.com/math-he...questions.html.
• Jul 15th 2008, 09:25 AM
Mathstud28
Quote:

Originally Posted by mr fantastic
After the substitution u = g(x) is made, option d. would seem the best answer.

Personal opinion: This question you're being asked to answer is dumb. My opinion applies here too: http://www.mathhelpforum.com/math-he...questions.html.

Are you serious? Isn't this a little vague for say trig substitution?

Just my opinion. I guess you could contest that since it is an unknown function that any would apply, but I would think that would be a stretch.
• Jul 15th 2008, 01:01 PM
shanniepooh2
Quote:

Originally Posted by mr fantastic
After the substitution u = g(x) is made, option d. would seem the best answer.

Personal opinion: This question you're being asked to answer is dumb. My opinion applies here too: http://www.mathhelpforum.com/math-he...uestions.html.

As dumb as they may be, they are still questions that I have to be familiar with. The study guide doesn't allow me to critic the question, just be familiar with it and answer it. Because these are wierd, thats why I have a difficult time trying to find the answer or even understand the question half the time.
• Jul 15th 2008, 03:35 PM
mr fantastic
Quote:

Originally Posted by Mathstud28
Are you serious? Isn't this a little vague for say trig substitution?

Just my opinion. I guess you could contest that since it is an unknown function that any would apply, but I would think that would be a stretch.

Simple case in point: $\displaystyle \int \sqrt{ 1 - e^{2x}} \, e^x \, dx$ ......?

p.s. Why do you think I gave my personal opinion .....?