According to the general equation for conditional probability, if P(A^B)= 2/3 and P(B)= 3/4, what is P(A|B)? A. 15/16 B. 24/25 C
2 answers:
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Hi there!
The value of f(-6) is the y-value at the x-coordinate x = -6.
Looking at the graph, we can see that at x = -6, y = 5.
Therefore, f(-6) = 5.
Answer:
Step-by-step explanation:
So we have the indefinite integral:
This is the same thing as:
So, let's do integration by parts.
Let u be (ln(x))². And let dv be (1)dx. Therefore:
Simplify:
And:
Therefore:
The x cancel:
Move the 2 to the front:
(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)
Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:
Let u be ln(x) and let dv be (1)dx. Thus:
And:
So:
Simplify the integral:
Evaluate:
Now, we just have to simplify :)
Distribute the -2:
And if preferred, we can factor out a x:
And, of course, don't forget about the constant of integration!
And we are done :)