The answer is b I believe
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for

.
In that case, you want to find the antiderivative,

Complete the square in the denominator:

Now substitute

, so that

. Then

which simplifies to

Now, recall that

. But we want the substitution we made to be reversible, so that

which implies that

. (This is the range of the inverse sine function.)
Under these conditions, we have

, which lets us reduce

. Finally,

and back-substituting to get this in terms of

yields
Answer:

Step-by-step explanation:
For this case we know that:

And we want to find the value for
, so then we can use the following basic identity:

And if we solve for
we got:


And if we replace the value given we got:

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

Answer:
(a) The solutions are: 
(b) The solutions are: 
(c) The solutions are: 
(d) The solutions are: 
(e) The solutions are: 
(f) The solutions are: 
(g) The solutions are: 
(h) The solutions are: 
Step-by-step explanation:
To find the solutions of these quadratic equations you must:
(a) For 





The solutions are: 
(b) For 

The solutions are: 
(c) For 

The solutions are: 
(d) For 


For a quadratic equation of the form
the solutions are:



The solutions are: 
(e) For 




The solutions are: 
(f) For 


The solutions are: 
(g) For 

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are: 
(h) For 

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are: 
Would it be (5,3) reflected?