Answer:
Step-by-step explanation:
.
It is apparently obvious we could expand the bracket and integrate term-by-term. This method would work but is very time consuming (and you could easily make a mistake) so we use a different method: integration by substitution.
Integration by substitution involves swapping the variable 
for another variable which depends on x: 
. (We are going to choose 
for this question).
The very first step is to choose a suitable substitution. That is, an equation 
which is going to make the integration easier. There is a trick for spotting this however: if an integral contains both a term and it's derivative then use the substitution 
.
Your integral contains the term 
. The derivative is 
and (ignoring the constants) we see is also in the integral and so the substitution 
will unravel this integral!
Step 2: We must now swap the variable of integration from x to u. That means interchanging all the x's in the integrand (the term being integrated) for u's and also swapping (dx" to "du").
Then,
.
The substitution has made this integral is easy to solve!
Finally we can substitute back to get the answer in terms of x:
<span>Simplify both sides of the inequality.
x-5>25
</span><span> Add 5 to both sides.
</span>
x-5+5>25+5
x>30
Answer:
a) is A b) is D c) is D d) is 2 e) is At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde four days last week to buy ice cream bars. How much does he owe Clyde.
( On question " e) " simply just change the five to a four making him borrow 75 cents 4 times. )
Step-by-step explanation:
ANSWER
EXPLANATION
The given product is
This is always equal to
The identity
is called difference of two squares.
We can verify this by simply expanding the brackets using the distributive property to obtain,
This simplifies to
