Find the integral, using techniques from this or the previous chapter.
∫x(8-x)3/2 dx

Step-by-step explanation:

For this case we need to find the following integral:

And for this case we can use the substitution from here we see that , and if we solve for x we got , so then we can rewrite the integral like this:

And if we distribute the exponents we have this:

Now we can do the integrals one by one:

And reordering the terms we have"

And rewriting in terms of x we got:

And that would be our final answer.

answer:      

step-by-step explanation:

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: