Setting
, you have
. Then the integral becomes
Now,
in general. But since we want our substitution
to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means
, which implies that
, or equivalently that
. Over this domain,
, so
.
Long story short, this allows us to go from
to
Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get
Then integrate term-by-term to get
Now undo the substitution to get the antiderivative back in terms of
.
and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to
Answer:
It's really easy just remember rise over run.
Step-by-step explanation:
so you rise 3 and run to the right 3
A great tip that helps me determine if it's positive or neagitve is if you go to the left then it's ALWAYS neagtive but if you go to the right then it's ALWAYS postive
Option C: is the slope of the line
Explanation:
The line passes through the points and
We need to find the slope of the line.
The slope can be determined using the formula,
Where the coordinates and are and
Let us substitute the points in the formula
Thus, we have,
Simplifying, we get,
Adding the numerator and denominator, we have,
Cancelling the negative terms, we get,
Thus, the slope of the line is
Therefore, Option C is the correct answer.
The answer for this is is 35 370 93 and i got that now by using guzmos