<span>g(x)= 3x − 3
</span><span>g(−6)
g(-6) = 3(-6) - 3
g(-6) = -18 - 3
g(-6) = -21
The answer is -21.</span>
Answer:
∫
= 
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let 
Differentiate both sides with respect to 

[use
]
So,
∫
= ∫
=
where
is a variable.
(Use ∫
)
Put 
∫
= 
Use 
So,
∫
= 
where 
Without using substitution:
∫
= ∫
= 
So, same answer is obtained in both the cases.
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.