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Math Help - which technique

  1. #1
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    Cool 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
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by shanniepooh2 View Post
    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?
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  3. #3
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    Quote Originally Posted by shanniepooh2 View Post
    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.
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by mr fantastic View Post
    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.
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  5. #5
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    Quote Originally Posted by mr fantastic View Post
    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.
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  6. #6
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    Quote Originally Posted by Mathstud28 View Post
    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: \int \sqrt{ 1 - e^{2x}} \, e^x \, dx ......?

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