Posted by **Hannah** on Monday, January 17, 2011 at 7:20pm.

I am looking for help integrating using u substitution over the interval of 0 to pi/2 the function cos(2x/3)

- Math -
**jennifer**, Monday, January 17, 2011 at 7:22pm
the perimeter of parallelogram is 52cm,and jk is 2cm longer than jm.

find jk

find jm

- Math -
**helper**, Monday, January 17, 2011 at 7:37pm
Integrate cos (2x/3) dx

u = 2x/3

du = 2/3 dx

3/2 du = dx

I = integrate symbol

I cos (2x/3) dx = I cos u 3/2 du

I cos (2x/3) dx = 3/2 I cos u du

I cos (2x/3) dx = 3/2 sins u

since, u = 2x/3

I cos (2x/3) dx = 3/2 sin (2x/3)

- Math -
**helper**, Monday, January 17, 2011 at 7:46pm
I cos (2x/3) dx = 3/2 sin (2x/3)

sorry, forgot 0 to pi/2

3/2 sin 2/3 (pi/2) - 3/2 sin 0

3/2 sin (2pi/6) - 0

3/2 sin (pi/3)

3/2 (sqrt3/2)

3 sqrt3/4

## Answer This Question

## Related Questions

- Calculus - I tried to integrate this: intergral sign with an interval from -...
- calc - find the area between the x-axis and the graph of the given function over...
- Calculus- Damon, Steve, Reiny - I forgot to mention that I am trying to find ...
- math - how to define arc cosine(cosine x) for -360 deg<x< 360 deg?? a ...
- Calc 1 - Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the ...
- Calculus - I'm supposed to find the average value of the function over the given...
- Calculus - I have two questions, because I'm preparing for a math test on monday...
- math - h(t)=cos t, [pi/4, 3pi/4] find the average rate of change of the function...
- math - Eliminate the parameter (What does that mean?) and write a rectangular ...
- math - A trigonmetric polynomial of order n is t(x) = c0 + c1 * cos x + c2 * cos...

More Related Questions