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evaluate integration of sin^3x


MASTER TECHY IN KANNADA 12th Apr, 2021
Answer (1)
Jainshahajal 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!!

1 Comment
Comments (1)
13th Apr, 2021
Thank you sir
Reply

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