I am working on a hw problem for multivariable calc that I can't figure out
If r(t)=(t^2)i + (tcospit)j + (sinpit)k
Evaluate integral r(t) from 0 to 1.
I understand that if the vector is composed of 3 component functions, then the integral of the vector is the integrals of the component functions.
So I have (1/3 t^3)i + (integral tcospit)j + (-1/pi cospit)k evaluated from 0 to 1.
I can't figure out integral tcospit. Is there a substituition I am missing or an identity I can use?