evaluate integration of sin^3x
Answer (1)
12th Apr, 2021
Hello Aspirant,
Hope you are doing well.
Integral of sin power 3x. It is quite difficult to write here. But I'm trying my best.
there is no integration or power sign so we represent these sign with some other sign.
| represent the integration, and
** represent the power sign
when you can do this in notebook please change these sign with integration and power.
we know that,
sin**3x = 1/4 (3sinx - 3sinx)
sin3x = 3sinx - 4sin**3x
|sin**3x dx
= 1/4 |(3sinx - sin3x) dx
= 1/4 [ -3cosx - (-cos3x/3)] + c where c is the constanct
= 1/4 [ -3cosx + (cos3x / 3)] + c
I hope you understand.
All the best!!
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