Answer:

Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

so we must define p, q, p' and q':
p=ln U


q'=U-5
and now we plug these into the formula:

Which simplifies to:

Which solves to:

so we can substitute U back, so we get:

and now we can simplify:



notice how all the constants were combined into one big constant C.
Answer:
5x+2
Step-by-step explanation:
6x-x=5x and 5-3=2
so 5x+2 is the answer.
Answer:
7
Step-by-step explanation:
Well it depends on the type of crayon box that she buys. For instance, some crayon boxes have a 24 pack box of crayons while others have 64 or maybe even a 16 pack box of crayons. So it all depends on what kind of box she bought.
2 or 3 I think is the answer for number 5