Question: is there a logarithmic property thay says: ln ∣ a - b ∣ is equal to - ln ∣ a + b ∣ Im overthinking because of the two solutions given in the images where the only difference in their answers is the term "(-1/2) ln∣cscx+cotx∣" and " (1/2) ln∣cscx-cotx∣"
Question: is there a logarithmic property thay says: ln ∣ a - b ∣ is equal to - ln ∣ a + b ∣ Im overthinking because of the two solutions given in the images where the only difference in their answers is the term "(-1/2) ln∣cscx+cotx∣" and " (1/2) ln∣cscx-cotx∣"
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question: is there a logarithmic property thay says:
ln ∣ a - b ∣ is equal to - ln ∣ a + b ∣
Im overthinking because of the two solutions given in the images where the only difference in their answers is the term "(-1/2) ln∣cscx+cotx∣" and " (1/2) ln∣cscx-cotx∣"
Transcribed Image Text:YOUR INPUT:
f(x) =
"MANUALLY" COMPUTED ANTIDERIVATIVE:
ƒ ƒ(x) dx = F*(x) =
csc³ (x)
Simplify
"Manual" integration with steps:
The calculator finds an antiderivative in a comprehensible way. Note that due to some simplifications, it might
only be valid for parts of the function.
In(|csc(x) + cot(x)|) + cot(x) csc(x)
2
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+C
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![BIGGER THAN INFINITY
Determine the signs of mine
Coefficients of Poliest
Signs
of Coefficients X-CSC
of Polynom 5:43
/+g=tg-/fg'
9=
f'=csC²x — f = -cotx
eg=-CSCxcotx
[1 + cot²x=c5e³x]
Co²x=²X41
mins
A x (SC)
Colx sex
Determine the Signs of mine
Coefficients of Pole Signs
of Coefficients
of Polynom 4:15
= -(0xx (sex-√(sex (@CX-1) dx
=-COAXCSCX-/CSC²x dx +/cs cx dx
=> 2 / c²c²x dx = -colxcsex + √(sex dx
cx
Jestar(corresix+ In IS(X=cola](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81ee5d02-e4c6-4c41-829b-53daaa58ab08%2F5577e200-83a1-4176-8a2d-51afe9cd9893%2Fap8g5g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:BIGGER THAN INFINITY
Determine the signs of mine
Coefficients of Poliest
Signs
of Coefficients X-CSC
of Polynom 5:43
/+g=tg-/fg'
9=
f'=csC²x — f = -cotx
eg=-CSCxcotx
[1 + cot²x=c5e³x]
Co²x=²X41
mins
A x (SC)
Colx sex
Determine the Signs of mine
Coefficients of Pole Signs
of Coefficients
of Polynom 4:15
= -(0xx (sex-√(sex (@CX-1) dx
=-COAXCSCX-/CSC²x dx +/cs cx dx
=> 2 / c²c²x dx = -colxcsex + √(sex dx
cx
Jestar(corresix+ In IS(X=cola
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does that mean that the property i provided doesn't exist?
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