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TransendentialPI

  • 3 years ago

This exercise is in a section about using trig substitution to integrate. I can use trig sub, but I'm just not seeing what initial substitution to use so I can apply trig sub. Can anyone give me a hint? I don't need (don't want) it solve to the end. At least not yet.

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  1. TransendentialPI
    • 3 years ago
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    See attached

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  2. mukushla
    • 3 years ago
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    see this http://en.wikipedia.org/wiki/Trigonometric_substitution

  3. TransendentialPI
    • 3 years ago
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    The trick is, how do we get this integral into the form\[dx \over \sqrt{u^2 +a^2}\]

  4. TransendentialPI
    • 3 years ago
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    sorry du on top

  5. violy
    • 3 years ago
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    note, 16+x^6= (4)^2+(x^3)^2. or (x^3)^2+(4)^2.

  6. violy
    • 3 years ago
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    what will be the a ? and what will be the u?

  7. violy
    • 3 years ago
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    then, get the derivative of u.

  8. TransendentialPI
    • 3 years ago
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    Thanks, that is just what I needed.

  9. violy
    • 3 years ago
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    most welcome:))

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