Would someone check my work in finding the following anti-derivative? The original expression: "cos((pix)/2)".

Any and all help is greatly appreciated! :)

I got "(pi/2)(-sin((pix)/2)) + C"

Question

Would someone check my work in finding the following anti-derivative? The original expression: "cos((pix)/2)".

Any and all help is greatly appreciated! :)

I got "(pi/2)(-sin((pix)/2)) + C"

amonoconnor · Answer

Should I show the work I did?

shamil98 · Answer

yes

amonoconnor · Answer

Coming right up...

amonoconnor · Answer

cos[(pix)/2] = (1)cos[(pix)/2]
                   = (1/((pi/2)(x^(1-1)))cos[(pix)/2]
                   = (1/(pi/2))(-sin[(pix)/2]
                   = ((1)(2/pi))-sin[(pix)/2]
                   = (2/pi)-sin[(pix)/2] + C

shamil98 · Answer

$$\int\limits_{}^{} \cos(\frac{ \pi }{ 2}) x~ dx$$

amonoconnor · Answer

Umm, 
x(sin(pi/2)) - (sin(pi/2))(1) (?)

amonoconnor · Answer

Meh, lol, all I wanted to know was if I was right... :)

shamil98 · Answer

Just go with the answer, I can't really confirm if it is correct or not..

amonoconnor · Answer

Okay... Good deal;)