Question

r(t)=(t^2+4,sin(2t),\frac{ t }{ 2t^2+4 })

suppose F(t) is an anti derivative of r(t), and it is known that F(0)=(1,-1,(1/2)ln(2)). Find F(t)

Answer 1

little help, really not sure how to go about this question.

Answer 2

If F(t) is an anti-derivative for r(t), then when you differentiate F(t) you get r(t). So,\[\int\limits r(t) dt = F(t)\]

Answer 3

thanks that's what i needed to help me solve it.