9. f tan³ x Vsec x dx

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Q: 2) tan 0 2V13 4.

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

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Q: Use the three trigonometric substitutions (if required) to evaluate 2 dx. Use C for the constant of…

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Q: = - In(- cost) – e sinr, find the value of y' when t= 4 If "y=sin?t+ tant, x=

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Q: - TT < x < TT; function, f(x) = cos(x/2)

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

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Q: sin x (cos x + 4) dx 1+cos?x

A: Solution:

Q: dx 4.. V4x-x²

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: TT Sz sin? 0 cosº Odo

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

Q: 8. dr+ (2r cot 0 + sin 20) d0 = 0.

A: This will be a linear differential equation of r. We will write this in standard form and then solve…

Q: Evaluate sin(In(x)) + cos(In(x)) dx. COS

A: Consider the following integral: I=∫sinlnx+coslnxdx=∫sinlnxdx+∫coslnxdx Consider the following…

Q: Which statement is true? (On the test, you'll need to turn in your work for a problem like this) 17…

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

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

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Q: i cos tdt can best be evaluated by: A Trigonometric Formula B) None C) Integration by Parts D Power…

A: Since multiple questions are asked,I am doing first question

Q: 3. sin* ydy 4. J7 sin? ycosºydy

A: Explanation of the answer is as follows

Q: Consider solving -dx using a suitable trigonometric substitution. After performing substitution with…

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Q: 9. Which equation will allow us to selve for x? b. sin x= a. sin x= 7. d. cosx = C. cOs X = e. tan x…

A: Consider the triangle

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

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Q: tan? x (1+ sin² x) dx cos? x (9) (10) / (V – 1)° dx

A: 9 Given  is        I=∫tan2x1+sin2xcos2x  dx      ∵sinθcosθ=tanθ   1cosθ=secθ      I=∫tan2x…

Q: W (sinh x , cosh x) = ? Select the correct response: O -2 -1 O 1

A: We will find the solution using the given operator.

Q: Differentiate: -X-Cos y

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Q: H(x) = sin(esinh~1 *) %3D

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Q: cos* xdx le

A: Given, ∫0π2cos4xdx  We have to find the value of a definite integral.

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: 5. y = cos x sin²x What is the appropriate formula? Solution:

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Q: e sin(5a)cos(8z) cos(5z)sin(8z) = 0.85 for the smallest positive solution. ve your answer accurate…

A: We have to solve the given equation according to the given information

Q: Evaluate using Trigonometric Substitution: dx (16+#²)? æ(x²+16) tan-1 +C - a2+24 x(x²+24) 6 tan-1 +…

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

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

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

A: We have to find

Q: 5. x = A sin (at + B); w a parameter, not to be eliminated.

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

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

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

A: Given.

Q: 4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

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

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Q: 2. Using trigonometric substitution, what is S x² -9 dx ? x3

A: Given integral √x^2-9 /x^3 dx

Q: 2 L sinh-t 3

A: We have to use standard Laplace Transform.

Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: 6. What is value of y that is no y = sin-1 x? A. 0 С. B.

A: here we have to find the value of that is not in the range of the function y=sin-1x

Q: Use the three trigonometric substitutions (if required) to evaluate 5 -dx. Use C for the constant of…

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

A: We have to find out

Q: 3+3 sin? x Evaluate the integral ( sin? dx.

A: We need to evaluate the following integral  ∫3+3 sin2xsin2xdx

Q: 6. Integrate the function below using Trigonometric using 6 lines only (solution + Substitution…

A: Let's solve given integral.

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

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Q: cosh² x – sinh? g(x) = 1 – tanh?

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