Integration using trigonometric identities (3) | ExamSolutions

Here I show you an example on integrals of trigonometric functions using trigonometric identitities

[na.a]

i love your voice it fuels my existence with hope.

[nickmebep]

Hey great vids, watching a bunch to prepare for a midterm. But for the second question. I get -(5/3)cos(3/2)x. I'm not sure if you can pull the 1/2 out of the cos(3/2)x term. if it were (cos3x)/2 it would work, but I don't think so.

[CRKB]

Hello, Mr. Stuart. I was wondering if you can perhaps do some videos on S1, i.e on regression and discrete random variables, as they have been causing me some difficulty. I would greatly appreciate it, just as much as I appreciate your other wonderful tutorials. Thanks so much!

[ExamSolutions_Maths]

@Nicola72av Thank you once again for your support

[thelastryder]

You're a good man Mr Sidders...definitely going to make a donate to Action Aid tomorrow!

[GTAONGTAVIDEOS]

This point has already been raised by someone else, but how is it that you ended up with -5/6cos3x + c rather than -5/3cos3/2x + c ?

I took the 1/2 out in front of the integral of 1/2sin3/2x as you did to get 5/2 at the front of the integral, but then I divided by the a value, dividing by 3/2 (or multiplying by 2/3) giving me -5/3cos3/2x + c


I doubt that you're wrong, I'd just appreciate and explanation because I don't understand how you got this.

Thanks

[nathnaelhaile]

the integral of sinx cosx is 1/2 cos^2 (x) +c by U substitution method

[mny]

why doesn't it become 5/2(integrate sin6x) as A=3x

[ExamSolutions_Maths]

@thelastryder Thank you. Action Aid would benefit tremendously from anything you can give.