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in this video were going to review some basic properties of integrals so lets say if we have this particular function ill say the anti-derivative or the integral of f of x dx from one to three lets say that its equal to 5. so knowing that what is the value of this particular expression so notice we have a 2 in front this would be the same as if we have a 2 between the integral symbol and f of x its just going to be 2 times 5 which is 10. that was pretty straightforward now what about this example lets say if the numbers were reversed instead of one to three its three to one what is the answer for this one now this expression is equivalent to negative 1 3 f of x dx so therefore its negative 5. now what about this example what is the antiderivative of f of x dx from 3 to 3. this is equivalent to f of three minus f of three which are the same so theyre gonna cancel this is gonna be zero whenever these two are the same the answer is always zero now what about lets say we have a