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dakotajason27

  • 2 years ago

Evaluate the integral! From 0 to pi/3 of 4sec x tan x dx

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  1. dakotajason27
    • 2 years ago
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    \[\int\limits_{0}^{\pi/3} 4\sec x \tan x\]

  2. coolestkidd
    • 2 years ago
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    i am helpi u right noe

  3. dakotajason27
    • 2 years ago
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    Like i get the basic jist of integrals i just get stuck on finding the antiderivative

  4. coolestkidd
    • 2 years ago
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    oka

  5. satellite73
    • 2 years ago
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    see if you can think of a function whose derivative is \(\sec(x)\tan(x)\)

  6. satellite73
    • 2 years ago
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    or look in the book for the derivatives of trig functions. you will see it

  7. coolestkidd
    • 2 years ago
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    i cant find the anser

  8. dakotajason27
    • 2 years ago
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    sec 4x and they just applied the chasin rule?

  9. dakotajason27
    • 2 years ago
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    chain*

  10. satellite73
    • 2 years ago
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    easier than that

  11. satellite73
    • 2 years ago
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    if you take the derivative of \(\sec(4x)\) you will get \(4\sec(4x)\tan(4x)\) which is not at all what you want. just leave the constant alone and take \(4\sec(x)\)

  12. satellite73
    • 2 years ago
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    plug in \(\frac{\pi}{3}\) plug in \(0\) and subtract actually forget 0 because \(\tan(0)=0\)

  13. dakotajason27
    • 2 years ago
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    ok perfect i can do it from here thanks :)

  14. satellite73
    • 2 years ago
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    yw

  15. dakotajason27
    • 2 years ago
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    answers 2 right?

  16. coolestkidd
    • 2 years ago
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    yes

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