Question #62722
2 Answers
I tried this:
Explanation:
We can write:
and:
Explanation:
The first step to solving this integral is to break down the denominator into a factored form. We can recognize that the factored form of
So rewriting the denominator we will get
Then we will take out the constant 4 to get
We will then perform partial fraction decomposition. So setting aside the function itself, we will split it into two fractions:
Multiply our two new fractions by the old denominator and we will get:
We will solve for A by assuming x = 3 to get rid of B:
Divide both sides by 6 and
Now we need to solve for
Plug in our new fractions
Recognize that since both fractions share
Now we will use substitution. Let's say
Remember that
Now we just plug back in u and v and our final answer will be: