Integral: What is the integral from 0 to 10 of: (x/10)*cos[(n*pi*x)/10] dx ?

[magneticnmr]

What is the integral from 0 to 10 of: (x/10)*cos[(n*pi*x)/10] dx ?

 

[Deleted member 4993]

What is the integral from 0 to 10 of: (x/10)*cos[(n*pi*x)/10] dx ?

What are your thoughts?

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[pka]

What is the integral from 0 to 10 of: (x/10)*cos[(n*pi*x)/10] dx ?

Here is an answer I don't see what good it does for you.

 

[SAMUELK]

What is the integral from 0 to 10 of: (x/10)*cos[(n*pi*x)/10] dx ?

Since the n, the pi, and the 10 are constants, you really just have

INTEGRAL(x cos x dx),

which looks like a pretty standard Integration By Parts.

Do you agree?

 

[Deleted member 4993]

What is the integral from 0 to 10 of: (x/10)*cos[(n*pi*x)/10] dx ?

Start with:

\(\displaystyle \displaystyle{\int \theta * cos(\theta) d\theta} \ = \ ?\)