2х + 1 -dx. NOTE: In (M²) = Pln M х? + 1

Q: b) S cosh(In(cosx)) dx

A: We have to find the integral.

Q: 4(3х + у — 2)dx — (3х + у)dy %3D 0

A:

Q: e dx tx- e-e, Given that use this result to evaluate Se + 2 dx.

A:

Q: ev dx is equal to which of the following? Using the substitution u=v .2 B 2 e"du 16 © 2 e"du ,2 e"du

A:

Q: 3. Г dx (Hint: use a trigonometric substitution) 2 xVx2-1

A: In the part 3 we have the the value as ∫22dxxx2-1 . In order to make the substitution  we will…

Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

Q: B. Using trigonometric substitution x3 dx 1. J Tx?-9

A: We have to find  As per guidelines we have to solve one question

Q: cosh? z + sinh2z=1 true False O оо

A:

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 - y³)żdy

A: Given integral ∫b2y6-y812dy The objective is to evaluate the integral by trigonometric substitution.

Q: Sin JxCosx dx =? (e() b) fx'e dx=?

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

Q: dx Using Trigonometric substitution, prove that J A-rž arc sin x + C

A: The given integration is ∫dx1-x2     . We have to solve the integration using Trigonometric…

Q: S₁ + Sa cos²0 de 01/2000 sin ²0 de csc ³0 de + Sc 01/se sec ³0 de The integral dx (x²+4)² can be…

A: We have to solve above integral

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² A +…

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

Q: kit emint the squar rool of Z= Z [ cos (E) i inn (4)7

A:

Q: Evaluate using the substitution u = 1 − x2 or trigonometric substitution.

A: Given: ∫x1-x2dx  ……1

Q: S= The integral dx can be transformed to which of the following when trigonometric substitution is…

A:

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

A:

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y³)źdy

A: SOLUTION-

Q: 3 t coso ,3 sin 0 sing dr d0 do /2 0, 0.

A:

Q: dx (2x-3)√5-12x+4x² 6. f

A:

Q: dx If J x² – 2x – 4 is solved by trigonometric substitution, the resulting integrand is? ... V5…

A: Given: Let I=∫dxx2-2x-4 To Find: The resulting integrand by using trignometric substitution

Q: dy ? dx If sin(r + y) = xy, what is the expression for

A: sinx+y=xy Differentiating with respect to x…

Q: Which of the following is equivalent to -dx 1+ cosx – sinx after appropriate half-angle substitution…

A:

Q: The trigonometric substitution x= tan(t) 7 gives J 49 x2+1 dx= sec(t) Select one: O True O False

A:

Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: State the trigonometric substitution appropriate to finding an antiderivative for x2 (x2 +16)3/2. A.…

A:

Q: dx (x+3)²-25 7. S

A:

Q: 15. f(t) = e" sin bt

A: Given function f(t) = eat sin(bt)

Q: 13. Evaluate using the substitution u = 1 – x² or trigonometric substitution. (b -ак х (a) dx x4 (c)…

A: Thank you for the question, As per our honor code we'll able to solve only first three sub parts of…

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

A:

Q: Use trigonometric substitution if possible dx x? (9x2 – 4)2

A:

Q: Using appropriate trigonometric substitution, dx J xV1 - xV1 – x2 | is transformed to

A: Topic = Integration

Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A:

Q: | ex dx = e³ – e, use this result to evaluate Given that 4ex + 7 dx. ( +

A: Given data: ∫13exdx=e3-e......(1) We have to evaluate ∫134ex+7dx ∫134exe7dx⇒4e7∫13exdx

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: cos(kr)e¬lz dx, Hint: consider cases for k and I.

A:

Q: 1 In dx%3D %3D .a 3. m/2

A: Gamma function

Q: x2. x² – 9 dx ? Using trigonometric substitution, what is

A:

Q: When integrating by trigonometric substitution | V4x² +25 dx becomes a) jsc 25 sec? O tan O dO 2…

A: Solve

Q: 9 –x dx will transformed into Using appropriate trigonometric substitution, the integral expression…

A: using method of trigonometric identity substitution

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

A:

Q: X sin? – cos' –dx 2 X z dx 2. 2 0.

A:

Q: When x* cos(x?) dx is evaluated using IBP, the value of v du is?

A: Evaluate ∫x3cosx2dx using IBP ( Integration by parts) then ∫vdu is.

Q: ANSWER iv dx ANSWER Jsin(ax) cos(ax) dx

A:

Q: du -(cosh u) = dx "(sinh u). dx dx A True B) False

A:

Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: Coтрule the mtegral sin r dr т — 4г + 5

A: This would be solved using catchy integral theorem.

Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

A:

Q: which of the following is equal to ITe dx? Vite ex 3 A.2 (22 - (1te")

A: Given,∫10 [√(1+e-x) / ex  dx] Substitute (1+e-x) as t

Q: 1) fo LaVI+y³ dydx =

A: