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anonymous

  • 4 years ago

HELP ME WITH DEFINITE INTEGRALS, AND THE FUNDAMENTAL THEOREMS OF CALCULUS PLEASE!!

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  1. anonymous
    • 4 years ago
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    IF g(x) = \[\int\limits_{1}^{2lnx} e^t/\sqrt{1+e^(2t)} dt, \] find g'(x)

  2. anonymous
    • 4 years ago
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    should be e^(2t)

  3. anonymous
    • 4 years ago
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    take the derivative using the chain rule. basically replace t by \[2\ln(x)\] in the integrand, and then multiply by \[\frac{2}{x}\] the derivative of \[2\ln(x)\]

  4. anonymous
    • 4 years ago
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    what would be the final answer to this question? just to see if i got it correct. i got 4...?

  5. anonymous
    • 4 years ago
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    wrong question. i got 2x/(1+x^2)

  6. anonymous
    • 4 years ago
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    \[\frac{e^{2\ln(x)}}{\sqrt{1+e^{4\ln(x)}}}\times \frac{2}{x}\]cleans up a great deal

  7. anonymous
    • 4 years ago
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    \[\frac{x^2}{\sqrt{1+x^4}}\times \frac{2}{x}\]

  8. anonymous
    • 4 years ago
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    i got that but you would multiply the 2 terms together?

  9. anonymous
    • 4 years ago
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    would you*

  10. anonymous
    • 4 years ago
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    if \[f(x)=\int\limits_{4/x}^{16} (3\div(4+t^3))dt\], find f'(x)

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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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