Calculus Review 2:

Every indefinite integral has an additive constant, C:  

dt = t + C

The C is omitted from the formulas below:

Integral of t is t²/2 plus a constant:  

tdt = t²/2

Constants can be taken out of the integral:  

cdt= cdt

General rule for integration of polynomials:  

tⁿdt = tⁿ⁺¹/n+1 for n > 1

Integral of the sum is the sum of integrals:  

(x+y)dt=xdt +ydt

Integration of a sine yields a negative cosine:  

sin[t]dt= -cos[t]

Integration of a cosine yield a sine:  

cos[t]dt= sin[t]

Integration of an exponential yields the exponential:  

exp[t]dt= exp[t]

The integration of 1/x results in the natural log:

(1/t)dt= ln[t]