5 8. ſ cscz x cot³ x dx

Q: sin?(y) x³ dy – x tan(y) dy dx = | %3D 4. ria doe ains

A: As per your query the last question has been done in detailed in the following steps.

Q: 14. True or False. 1−tanh’(x)=sinh(x) O a. False. Correct answer is csch²(x) O b. False. Correct…

A: Given trigonometric functions.

Q: Q.5: Solve (1+ y²) dx + x dy – tan-1 y dy = 0.

A:

Q: co4. Dissurs possibility of existe he Solution for 460=sinle x +25 at klx.t) Find the solution

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The ant derivative of f(x) is, Now evaluate the anti derivative of

Q: (b) for 3-3x³ dx

A: We need to evaluate the given integral- ∫0∞3-3x3dx Here we will use the following integration…

Q: 3. L(eat) = s-a a 4. L(sinhat) s² -a² 5. L(coshat) s2 -a2 1.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the values of x which satisfy the below equation. Please write down all the steps that you use…

A:

Q: (sin y) (x + sin y) dæ + 2x² cos y dy = 0

A:

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: 3 4x -dx 2 Vx +4

A:

Q: (y² - x² sin xy) dy+ (cos xy - xy sin xy + e²x) dx = 0

A:

Q: Evaluate and show all necessary solutions. 1.S cosxsin²x V1+sinx √25-4x² 2. S 3. S 4. fxcosxsinxdx…

A:

Q: TT Sz sin? 0 cosº Odo

A: In this question, we want to calculate the following given integral.

Q: Evaluate L{3e cost cos 8t}.

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: • Find solutions using Exact Equation (show step by Step soLution good hand written) 1.) Sove ex…

A:

Q: 4 – 9x?dx using integration by parts and trigonometric substitution.

A: To evaluate the integral: ∫4-9x2dx Solution: Let substitute x=23sint. Differentiating both sides,…

Q: Sπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

A:

Q: what is the value of d (e* Tanx) at -0. dx

A:

Q: Integration by Trigonometric Subshtunon Jx(x?_ax+4) $12 XP

A:

Q: 10 • Use the Midpoint Rule with n = 5 to approximate x2 dr. • Use the Trapezoidal Rule with n = 6 to…

A: We use midpoint rule to find out the value of given integral.

Q: 2. The following integration can be solved by using the Trigonometric Substitution → technique,…

A:

Q: Evaluate the definite integral. n/2 sin*(x) cos(x) dx = -n/2

A:

Q: Find the area in the second and fourth quadrants and inside the curve r^2= a^2 cos(2θ)

A: To find the area in the second and fourth quadrants and inside the curve r^2= a^2 cos(2θ).

Q: 团 Solve for r to two decimal places. (Do not round until the final answer. Then round to the nearest…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find coth xcsch xdx. Select the correct choice. O coth' z +C -1 + C 2 sinh2 O- coth? r+ C

A: we have to integrate the given function ∫coth x csch2x dx                     (1)

Q: Scanned with CamScanner 10.f cota y sec y dy

A:

Q: 19. xy' = y + x´ sin x, y(7) = 0

A: Differential equation given is - xy'=y+x2sinx,      y(π)=0 This differential equation can be…

Q: e* +e* cosh(x) = cosh(0) = ? 33- e* -e sinh(x) = → sinh(0) = ? 2

A:

Q: What is the easiest method that can be used to find (x/1+4x² dx? Select the correct answer. None of…

A: The given integral is ∫x1+4x2dx.

Q: c. When we use the integration by parts to integrate * tan dx we obtain an expression of the form A…

A: Given that a integration here we use to solve this integration by parts method .and after this we…

Q: π/3 0 sin x dx (1+cosx)?

A:

Q: ouse the imProved wmethod Solve the : y ty tan X= sinzX ;ylo)=l ;h=ol

A:

Q: Vas x? - 4 dx by using trigonometric Solve substitution 2 Sec (0)

A: We have to find

Q: A 125 m cable weighing 2 kg.s per m is suspended between two towers at the same level. The sag is 9m…

A: The equation of sag is  S=wl^2/8T The equation of catenary is  Y=a*cosh(x/a)

Q: 47. A direct calculation shows that 2 sin? x dx = . How close do you come to this value by using the…

A:

Q: Express the given quantity in the form a + ib. sin(-8i)

A: Given.

Q: S e3* cosx dx ез OOX

A:

Q: A Moving to another question will save this response. Question 3 Use integration by parts (tabular)…

A:

Q: a) y" +y' = e¬"cos(x); = e=*cos(÷x);

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: TC By using a trigonometric substitution x= 3sec0 ,where 0s0< 21 27 dx The integral -9

A:

Q: Spot the mistake/s in the solution. Tick the box that applies. S sin x h (os x ) dx

A:

Q: 9 x3 dx V16 + 1 x? B For trigonometric substitution to solve the above integral, fill in the blanks…

A:

Q: t²dt can best be evaluated by: (A Trigonometric Formula B Integration by Parts (c) Trigonometric…

A: We have to find out

Q: e) lim (1+sec 3x)cot 3x 7 2 X-

A: The objective is to find the limit.

Q: "y= sin?t+ tant, x= - In(-cost) – e sinr, find the value of y' when {=". 6 2+ Vze 2/3 6/7 2-Vze ? 6

A: Given : y = sin2t + tant and x = -ln-cost-esint   To find : Value of y' When t = π4?

Q: Using Muller's method find a real root of the equation decimal places. cos x – xe = 0 correct to…

A:

Q: fip when r = 0, if given y = tan (sinh z). Find dr

A:

Q: sinh?x + cosh?x= ±et* %3D

A: Given expression, sinh2x±cosh2x=±e±x To prove this in the following.

Q: /2 1 - dx J7/3 1 + sin x – cos x 7. .

A: Since we are given with the multiple number of question and our guideline is solve first question…