You should know how to work out integrals such as:
∫ 3t dt = (3/2)t2 + c
∫ (1/x) dx = ln(x) + c
∫
sin(4t) dt = (-1/4)cos(4t) + c
You should also be able to differentiate:
d(12t3)/dt = 36t2
d(ekx)/dx = k ekx
d(sin[4t])/dt = 4 cos(4t)
Other important concepts from calculus: