Question

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

Answer 1

the perimeter of parallelogram is 52cm,and jk is 2cm longer than jm.

find jk
find jm

Answer 2

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)

Answer 3

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