Answer: 
Step-by-step explanation:
To integrate means to find the antiderivative of the function. For this problem, we can use u-substitution.

Let's first use our identities to rewrite the function. Since
, we can use this identity.



Now that we have u and du, we can plug them back in.


Since we know u, we can plug that in.

This may seem like the correct answer, but we forgot to add the constant.

Answer: 12(4j + 5k + 2)
Step-Step-Explanation: Factor 12 out of 48j + 60k + 24
Well, first you must find the total amount of tiles that Augustin needs to paint.
So, 300 from the bathroom
675 from the kitchen
+ 100 from the hallway
--------------------
All together, 300+675+100=1075.
Because each can covers 450 tiles, and you are trying to find how many cans you Augustin needs, you woud divide 1075 by 450.
1075/450 is 2.38888888 is not a full number, and you can not have part of a can. You also would not round downward, because then you wouldn't paint all the tiles. Therefore, you would round upward to 3.
Augustin will need 3 cans of paint.
Answer:
5
+6+12
Step-by-step explanation:
Add the numbers
Combine like terms
Rearrange terms