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hi welcome to tutorial on integrating function the form ax plus B to the power n where a and B are constants and n is any rational power other than minus one so what kind of functions are we talking about when we look at something like this well the most obvious might seem to be integrating something like 3 X plus 2 to the power 4 with respect to X but it does also cover functions like this 7 over 5x minus 1 or cubed because we can think of this as 7 times the integral of 1 over 5x minus 1 or cubed when youve got 1 over 5x minus 1 or cubed you can bring it up and write it as 5x minus 1 to the power minus 3 and we integrate that with respect to X you can see its got this particular format our n is minus 3 and a is 5 and the B value is minus 1 not only if we got types like this but well be able to integrate root functions or cube root functions and so on because this can be written in this format as well before can be brought out the front of the integral because its a constant and