anonymous
  • anonymous
Estimate the area under the curve cos sqrt x for 0=
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Definite Integrals? Any help..im stuck
anonymous
  • anonymous
Use trapezoidal rule. If you look at a plot of your function, you'll see that it falls roughly linearly from 0 to 2.
anonymous
  • anonymous
The answer with trap. rule would be about 1.156

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anonymous
  • anonymous
the problem is we havnt got to trapeziod rule
anonymous
  • anonymous
Not sure why it's asking you to estimate when you can solve it exactly with a u sub then by parts.
anonymous
  • anonymous
\[\int\limits_{a}^{b} f(x)dx \approx (b-a)\frac{f(a)+f(b)}{2}\]
anonymous
  • anonymous
Well then you have to estimate with rectangles.
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=integral+cos%28sqrt%28x%29%29+from+x%3D0..2
anonymous
  • anonymous
You should know that the area of a trapezoid is \[\frac{1}{2}(a+b)h\]where a and b are the 'top' and 'bottom' and h is the altitude (or height). Here, a=f(0), b=f(2) and the height is (b-a)=2
anonymous
  • anonymous
It's okay to apply this formula.
anonymous
  • anonymous
thanks guys
anonymous
  • anonymous
np

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