dx Integrate by trigonometric substitution: .2 4x² -9 2

Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

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Q: dy nd where y = tan-(/2x³). dx ovide your answer below: %3D

A: Topic:- application of derivatives

Q: JV-x² + 4x+5 Consider dx. Using trigonometric substitution, what is the integral form in terms of 0?

A: We have to determine  integral form of given question

Q: y = Cje" cos 3x + C2e2 sin 3x %3D

A: Given,      y=C1e2x cos 3x +C2e2x sin 3x

Q: The value of 6 dz,where C:|z|= counterclockwise, is sinh(z+2) 7-4 O a. O b. 27isinh(3) sinh(3) O d.…

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Q: y² +4 dy y

A: Explanation of the answer is as follows

Q: Given a = 8t- 39 and y= 64 sin t %3D RA dy %3D dx dy %3D da2

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Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: noad Engine dz, C |z-il=2 (d) 군 (+1) dz C:|2| =2

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Q: pV9-(In x)? dx = %3D e-3 Select one: a. TC 2. b. C. 3T

A: option A is correct

Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

Q: 7 Cos X dx e 4 Using the Midpoint Rule, M(50) =| |: %3D

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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: T T 68. y = sin 3 + 4 %3D -

A: Given data:     The given expression of the function is: y=sin(-πx/3 – π/2)+4.     (a) The general…

Q: Q3 Integrate using trigonometric substitution: dx I To +x² /9 +

A: Let (x/3) = tant Differentiate on both side  dx/3 = sec2t.dt dx = 3.sec2t.dt

Q: .2 dx I (w² – 25)5/2

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Q: | w(w? + 1)3dw -1 dx х2 sin30cose d0

A: We will answer the first question since exact one wasn't specified, Please resubmit the question and…

Q: Write the DE, e" y' + e2y= sin a in the general form.

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Q: 5xy dx+ 2xy dy, where Cis the rectang

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Q: п sin ydx + cos²xdy = 0; y (÷) =| %3D 4

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Q: | cos xdx sin x

A: Given query is to find the solution o the integral using substitution.

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

A: SOLUTION-

Q: TT/Y 2TT In Cosx.secx.dx MUA MAM test EMMAHOMA MUAB 03MMAHOM

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Q: see thee quation as atached here

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Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

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Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: y у +4у%3D 16t cos 2t

A: We have to solve the differential equation…

Q: nd the tallawing differentu equation =d -1Sx +7 +eX cos(3x). the beral

A: The general solution of the given question has been solved below.

Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: 些。x? dx z + 6 -4 y %3D хе ? dx4 with YLoI = 5,y'col =1, 9°co) --2 yiol e 007

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Q: Solve using the variation of parameters d'y/dx? + dy/dx = 1/Sqr(1-cos²x)| %3D

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Q: (D5+3D + 4D³ + 32 cos (2a) + 3e 12D²) y = 16 sin (2x)

A: The given differential equation is…

Q: Sinx. Osy dx + Cosx. sing dyco

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

A: Gamma function

Q: dr = b (cos(O)dr + r sin(O)dO)

A: Given dr = bcosθ dr+rsinθ dθdr(1-bcosθ) = rsinθ dθdrr = sinθ dθ1-bcosθintegrate on both sides to get…

Q: J 4 sin xecos* d.c

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Q: y² +4 -dy y 2.

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Q: dx 6. S; ezx+1

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Q: Find dw/dx, dw/dy, and dw/dz. 47. w = ye sin xz %3D

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Q: evaluate using Integration by Parts, substitution, or both if necessary.

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Q: (a) sin(r.ry) = + y²

A: To find: The derivative of sinπxy=x+y2. Formula used: The power rule of derivative states that…

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

A: The integral function is ∫dxx2-2x-4dx

Q: Solve using the variation of parameters d'y/dx + dy/dx 1/Sqr(1-cos²x)| %3D

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Q: Evaluate 8xyz dz dx dy

A: In this question, we have to solve the triple integral in order.

Q: 8 sin r at the point (, 4). e form y mx + b where

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Q: S-* cos(x²)dxdy = Q2): Show that 1-y2 %3D 6.

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