4

Question 70.25 ptsf csc? cdxthe average of the (csc %)' andcsc % dx{ ( _ csc(r) cot(w) + In | csc(z) cot(c) +cthe sum of the (csc %) and csc € dx(csc(x) ...

Question

Question 70.25 ptsf csc? cdxthe average of the (csc %)' andcsc % dx{ ( _ csc(r) cot(w) + In | csc(z) cot(c) +cthe sum of the (csc %) and csc € dx(csc(x) cot(x) + ln | csc(z) + cot(z)l+cthe product of the (csc z)' and CSc % dxthe average of the (csc_ 2) andCSc x dx{ (csc(.) cot(c) In csc(z) + cot(e)l+c

Question 7 0.25 pts f csc? cdx the average of the (csc %)' and csc % dx { ( _ csc(r) cot(w) + In | csc(z) cot(c) +c the sum of the (csc %) and csc € dx (csc(x) cot(x) + ln | csc(z) + cot(z)l+c the product of the (csc z)' and CSc % dx the average of the (csc_ 2) and CSc x dx { (csc(.) cot(c) In csc(z) + cot(e)l+c



Answers

Calculate. $$\int \frac{\csc ^{2} x}{2+\cot x} d x$$

We are going to rewrite this integral as the integral. Of course I can square two X. Into two plus card two eggs for the power negative one of the two notice just to make our lives easier. So we're going to use the use institution to evaluate this integral which states that we need to re represent this integral in terms of you. So We're going to define you to B equals two. Two plus caught two eggs. The next step is to find a derivative of this equation. So do you is equals two negative two. Cause he can negative too cozy. Can squid two eggs. D. X. Right so now we can get to our integral and get to substituting. Okay so the integral of you. So we have defined U. Two B two plus court to eggs which is what we have right here. So it's going to be U. To the power negative 1/2. And what is left is cause he can square two X. Dx which is what we have right here. So if we divide by negative two on both sides were going to end up with negative. D'you divided by two is equals two. Corsican squared two eggs. The eggs. So that's the substitution of be making. So it's going to be negative. Do you over to? So This will be equals two -1/2. We can factor that out since it is a. Yeah it is a constant and will be lived with you. To the power negative one over to do you. Yeah This would be equal to negative 1/2. U. To the power negative half plus one divided by negative health plus one. So this would be to the poor half divided by of plus C. Because this is an indefinite integral. And this is equal to negative you to the poor half plus C. Now we already know what you is. It's two plus card two X. So we can substitute that in. So we'll have two plus, caught two eggs to the power half plus C. Okay. Yeah.

In this question, we have to solve interrogation Square root cortex and cosecha square X DX. OK, so first of all, we will do the substitution here and we will substitute U equals two cortex. Okay. And this will give us the you will be minus cosecha square X dx OK, and it means minus Do you will be Cosette square X dx. OK, so we will substitute here. So our question integration root cortex, cortex square X DX will be now integration root cortex will be you OK and Kosek square X dx will be minus. Do you okay? Or we can say it will be minus integration of you. Do you okay? Or we can say it will be minus interrogation You raised to the power half, do you? Or it will be minus you raised to the power three by two divided by three by two. Or we can say multiply two by three plus c. And now we will be exposed to the value of you. That is cortex. Okay. And it will be minus two by three. Got X raised to the power three by two plus. See Okay. And that will be our final answer. Thank you

All right. In this problem we wish to calculate the indefinite integral of three minutes coast. You can X squared. Or as you've written on the right by factory integral nine minus six Costa can X plus six. Costa can X squared X. Dx. This question is showing your understanding of integration in particular integration related to logarithmic functions. The integral form of this is integral one over U. D. U. L. In absolute value. You let's see. We want to combine this technique with other previous integration techniques. We already learned specifically. We only need to utilize the log arrhythmic form of the integral for six Costa connects the other two terms. We've already learned how to integrate. So for the middle term we have U. Equals Costa. Can explain it to you. Next to U equals negative coast. Can't squared expose coach and in Mexico city nx dx. Thus we have internal 90 X minus six integral Costa can x dx plus Costa get squared dx integral. The first term goes to nine X. The last term goes to negative co tangent. Thus our solution is nine x minus co tangent X minus six natural algorithm cause he can't explain its co tangent X. By this formula, plus C.


Similar Solved Questions

5 answers
To dctenninc the concentration 0f solution - altroui icid, & IS0.0-mL sample placed in 4 flisk and Ltrated Wa * hydroxide 0.13I5 M solution of barium volume of 32.26 mL is rcquitcd rcach the phcnoiphthalcin endpoint_ Cakculate the concentration of nitrous acid GamnDIC thc original
To dctenninc the concentration 0f solution - altroui icid, & IS0.0-mL sample placed in 4 flisk and Ltrated Wa * hydroxide 0.13I5 M solution of barium volume of 32.26 mL is rcquitcd rcach the phcnoiphthalcin endpoint_ Cakculate the concentration of nitrous acid GamnDIC thc original...
5 answers
De Feceice +u Jecel Solvhom ek H tlbumJ Oo€ Jte) 5 Jt) 5 %6) 7 6t + 6
De Feceice +u Jecel Solvhom ek H tlbumJ Oo€ Jte) 5 Jt) 5 %6) 7 6t + 6...
5 answers
Question Lt6 points] 3 3 :6e2} 54(z) Prove that 15 # subring of J,(Z) Prove or disprove is An ideal of 4,(z)
Question Lt 6 points] 3 3 :6e2} 54(z) Prove that 15 # subring of J,(Z) Prove or disprove is An ideal of 4,(z)...
5 answers
1 Y +2y homogenous 1 nd 2 1 Tethodoons I ~ 1 Leplace h ona 1 1 You 1 Solve 1 che IvPg the 38 1
1 Y +2y homogenous 1 nd 2 1 Tethodoons I ~ 1 Leplace h ona 1 1 You 1 Solve 1 che IvPg the 38 1...
5 answers
An electron Pair that is entirely on one atom in 4 molecule is called (A) 4 rebonding Pair (B) bonding Pair lone Pair (D) double bond (E) None of the above
An electron Pair that is entirely on one atom in 4 molecule is called (A) 4 rebonding Pair (B) bonding Pair lone Pair (D) double bond (E) None of the above...
5 answers
Rdom A4mpla af size n - 16 L dr Trominarmal Dalunhi esumate the population miean wlth ubinicy 0-O0r6.58 41.645 41.282 5.128
rdom A4mpla af size n - 16 L dr Trominarmal Dalunhi esumate the population miean wlth ubinicy 0-O0r 6.58 41.645 41.282 5.128...
5 answers
If green light has a wavelength of $495 mathrm{~nm}$, what is its frequency?
If green light has a wavelength of $495 mathrm{~nm}$, what is its frequency?...
1 answers
Phencyclidine (“angel dust") is $\mathrm{C}_{17} \mathrm{H}_{25} \mathrm{~N}$. A sample suspected of being this illicit drug was found to have a percentage composition of $84.71 \% \mathrm{C}, 10.42 \% \mathrm{H}$, and $5.61 \%$ N. Do these data acceptably match the theoretical data for phencyclidine?
Phencyclidine (“angel dust") is $\mathrm{C}_{17} \mathrm{H}_{25} \mathrm{~N}$. A sample suspected of being this illicit drug was found to have a percentage composition of $84.71 \% \mathrm{C}, 10.42 \% \mathrm{H}$, and $5.61 \%$ N. Do these data acceptably match the theoretical data for phenc...
5 answers
Find the radius of convergence_of the seriesL-2Yx"Find the interval, 1, of convergence of the series_ (Enter your answer using interval notation.) I = (-1,1]
Find the radius of convergence_ of the series L-2Yx" Find the interval, 1, of convergence of the series_ (Enter your answer using interval notation.) I = (-1,1]...
5 answers
2estion3 Select If f is 3 Calculus False Truee: continuous 2 on [0 3 1] then 3 also differentiable on [0 1]
2 estion 3 Select If f is 3 Calculus False Truee: continuous 2 on [0 3 1] then 3 also differentiable on [0 1]...
5 answers
Findfor r = sin ( tan 0~sin (*( sec (+ i)sin (. (sec 0+1)sln (( sec 0 + 1)sec ( . (sin= 0 +Click to select your answer
Find for r = sin ( tan 0 ~sin (*( sec (+ i) sin (. (sec 0+1) sln (( sec 0 + 1) sec ( . (sin= 0 + Click to select your answer...
5 answers
Solve the equation. Round the result to the nearest hundredth.$$5.86 x-31.94=27.51 x-3.21$$
Solve the equation. Round the result to the nearest hundredth. $$ 5.86 x-31.94=27.51 x-3.21 $$...
5 answers
Question 1: Fully label the reaction coordinate diagram of an enzyme-catalyzed (continuous line) vs. uncatalyzed reaction (dashed line): a) What is the value of AG" for the reaction? b) Is the reaction spontaneous in the direction written (left to right)? c) What is the value of AG# for the catalyzed reaction? d) What is the value of AG# for the uncatalyzed reaction? e) Calculate the rate enhancement for this reaction10Energy0 k/molReaction Coordinate
Question 1: Fully label the reaction coordinate diagram of an enzyme-catalyzed (continuous line) vs. uncatalyzed reaction (dashed line): a) What is the value of AG" for the reaction? b) Is the reaction spontaneous in the direction written (left to right)? c) What is the value of AG# for the cat...
5 answers
Power has the dimensions of: A) MLTT? MTIMTMLTT' none of these work at & Tate that is proportional to the
Power has the dimensions of: A) MLTT? MTI MT MLTT' none of these work at & Tate that is proportional to the...

-- 0.023837--