find the integral of 1+3 root x

now for any integral the method to deal with it is look for the easiest method, things can get trickier later down the line but always start by looking for the easy solution. this example allows us to see it in integratable chunks, where we can simple add 1 to the power and divide by the new power. firstly we deal with the 1.

any number a without an x coefficiant (apart from 0) with always integrate to ax, so for this example 1 the integral is simply x.

next;

3 root x can be rewritten in terms of 3x^1/2, which means exactly the same thing, but in this format we can follow the same rules of integration, which is add 1 to the power and divide by the new power, giving us 2x^3/2.

now we have our answer of x + 2x^3/2 + c (always remember the + c)