Question

A particle is moving along a line so that if v feet per second is the velocity of the particle at t second, then v= t^2-t+1/((t+2)^2(t^2+1)). Find a formula for the distance traveled by the particle from the time when 𝑡 = 0 𝑡𝑜 𝑡ℎ𝑒 𝑡𝑖𝑚𝑒 𝑤ℎ𝑒𝑛 𝑡 = t sub 1

Answer 1

that would, of course, be
∫[0,t_1] v(t) dt
You'll have to use partial fractions to do this one.