Problem 5. Prove that -dx 1+x (0

Q: 3. S sin®2y · /cos2y d|

A:

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

A:

Q: Problem 2: ka3 Find dy/dx at x1 from the following table of values 2. 3 4 27 64

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 26) If y=sin(-0).find dy d0

A: Given.

Q: Problem 10: 1, -n <x < 0 {cosx f x) 1 cos-X, 0 < x<t

A:

Q: Problem 1 Solve (x + ex sin y) dx - (y + e* cos y) dy = 0

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Q: Problem 9  Evaluate the indefinite integral.  ∫tan^4(x)dx=______________________ +C

A:

Q: 2 a) lím sin x+1

A:

Q: Problem 17. Evaluate the definite integral: arctan(2x – 3) d

A: We have to find the value of definite integral

Q: subparts a,b,c

A: a) Solve indefinite integral.

Q: Problem 12 Evaluate the indefinite integral.  ∫e^(7x)sin(6x)dx=_________________ +C

A: We will need by parts , so assume u and dv. Then find du and v

Q: Problem 3 Use integration by parts to evaluate the integral.…

A: First of all, use substitution method to simplify the integrand.

Q: Problems 1& 2 involve three functions z(y), y(u), and u(x). Find dz/dx from (dz/dy)(dy/du)(du/dx).…

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Q: Problem III: Evaluate the integrals: VIn(9 – x)dx А. /n(9 - х) + /In(x+ 3) 1 dx 1+/1+x В. 1 C. sinx…

A: A. Let I=∫24ln9-xln9-x+lnx+3dx           1 Using the property ∫abfxdx=∫abfa+b-xdx So,…

Q: Problem 6 (1-cos2x)+2cos²x S V2x + 1 x² dx

A: Solved below

Q: Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = o dx

A: As there are multiple questions, first one is solved here.

Q: In Problems 1 to 4, integrate with respect to the variable. sin 4x' 1. sin22x sin 2r 2. 3 cos²r 2 3.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: PROBLEM 1 : J sin'y cos y dy ROBLEM 2 : S cos*x sinx dx os==dy y-1 PROBLEM 3: S sin- ROBLEM 3 : 3 3

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Q: Problem 23 What is the length of the curve ln(sec(x)) from x=0 to x=1.3?

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Q: 33. tan- (z²y) = x + xy°

A:

Q: Evaluate the integrals

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

Q: Problem 11 Find the integral.  ∫e^(4x) sin(5x)dx=_________________

A:

Q: S 1+cos(3x)dx

A: Given : ∫1+cos3xdx

Q: Problem 1 Evaluate the indefinite integral.  ∫sin^5(x)cos^4(x)dx= ___________________ +C

A: Given integral can be written as Now, we use following substitution

Q: Problem 20  Evaluate the definite integral. ∫sqrt(81-x^2)dx=__________________ (upper limit=(9/2),…

A:

Q: -37 :5³T sin³ (1) cos³ (1) dx 0 6

A:

Q: Question 8 Integrate the function. dx V9 - x2 COs:1 X+C 2 cos x+ sin x+C D sin *-C Question 9 413

A:

Q: Problem 8 Evaluate the following Indefinite integral cos 3x dx V5 +2 sin 3x

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Q: Use the reduction formulas from problem #2, to integrate the following: a) | cos* (3x) dx

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Q: Problem 2 Let { sin(x-y) f(r, y) = |피 + 1yl # 0 (x, y) = (0,0) %3D %3D Is f continues at the origin?…

A:

Q: y = sin(3x) + cos(0.5x)

A: Given: y=sin(3*x)+cos(0.5*x) We have to determine the value of y,where x varies from 0 to 2pi in an…

Q: Problem 6 Evaluate the indefinite integral.  ∫sec^6(x)tan^12(x)dx=_________________ +C

A: Let us assume that

Q: 1. Consider 3x + sin x – e* = 0, using Secant Method with initial points xo = 0 and x1 = 1,…

A: The given equation is; 3x+sinx-ex=0.

Q: Problem 5 Evaluate the definite integral.  ∫sin^2(6x)cos^2(6x)dx=__________________  (upper limit=7,…

A: Evaluate the integral

Q: Problem 8  Evaluate the indefinite integral. tan^2(x)dx=_________________+C

A: To determine the value of the indefinite integral.

Q: Problem 11 Evaluate the indefinite integral.  ∫sec^3(x)dx=____________ +C

A: Given integral can be written as Integrating by parts, we get

Q: Problem 1 Apply trapezoidal and Simpson's rules to the integral 1 1-x dx continually halving the…

A: We have f(x) = y = (1-x2)1/2, using this, we can form the table for f(x) with the corresponding…

Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A)…

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

Q: Problem 13.1. Calculate the follo gration by parts: (1) Sa sin(3r +1) dx. (2) Sa'e(3r+1 dr. (3) ſ…

A: Since You have posted multiple subparts questions.  As per our guidelines we will do the first 3…

Q: Example 1 Find dy/dx, if a. y=sin(x² + 3x + 1) b. y = cos² (2x-1)

A: I have stated the used formulas in the solution

Q: Problem 1  Verify that  (1/((x^2)-1))=(1/2)[(1/(x-1))-(1/(1/(x+1)) And use this equation to evaluate…

A:

Q: 7/2 d sin dx dx COS

A:

Q: Problem 5. Find the derivative of each of the following: d {cos(2z + 3i)}², 1) dz d {(2)[tan"'(In…

A:

Q: Evaluate the integral. sin(10x - 2) dx

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

Q: b) ſ e2x sin 3x dx

A:

Q: Problem 05: (a) Find the following integrations: sec² x dx -tan² x cosec² 2x √1-cot² 2x dx π/4 0…

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Q: Question 10 [i[cosh:(2x²) – sinh ( 2x³) ]dt is equal to A © Sude xdx E None

A: Integration