anonymous
  • anonymous
integrate (sin(3x))^4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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experimentX
  • experimentX
int ((1-cos(6x))/2)^2*dx int ((1 - 2*cos(6x) + cos(6x)^2)/4) dx int 1/4 dx -int cos(6x)/2 dx + int ((1+cos(12x))/8)dx x/4 - sin(6x)/12+x/8+sin(12x)/96+k ....
anonymous
  • anonymous
so what is the process to the answer...
Callisto
  • Callisto
@experimentX (sin(3x))^4 = [(sin3x)^2]^2 = (2cos6xsin6x)^2 ... how come it becomes ((1-cos(6x))/2)^2 ?

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anonymous
  • anonymous
can you somehow draw it because this is very confusing to read
experimentX
  • experimentX
cos 2x = cos(x)^2 - sin(x)^2 or, cos 2x = 1- 2sin(x)^2 so sin(x)^2 = (1-cos2x)/2
anonymous
  • anonymous
how did you get the denominators to be 12 and 96 for the fractions
Callisto
  • Callisto
|dw:1332397158380:dw| similar for 96

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