15.f dx 1+cos x

Q: V1-w 6. Evaluate S dw using integration by trigonometric Vw substitution.

A: I have used trigonometric substitution to solve

Q: (c) (i) Show that e"dx = - (+2)k" +c, where c is a constant of integration. (ii) Using your answer…

A: The conjugate of a complex number is a complex number with real parts identical and their imaginary…

Q: 4. What approach of integration by parts does solving ef cos(r) dr involve? a. separating b. cycling…

A: By part   ∫u v dx = u∫v dx −∫u' (∫v dx) dx u is the function u(x) v is the function v(x) u' is the…

Q: e integral by making the given substitution. (Remember to use absolute values where appropriate. Use…

A: Given: ∫x5x6-3dx and u=x6-3 To find: Integral by using given substitution. Formula to be used:…

Q: Q 3. Test the exactness of ODE, if not, use an integrating factor to make exact and then find…

A: It is linear differential equation.

Q: separation of variables and evaluate the DE cosx/dx+1/ydy=0

A: The given DE is: cos xdx+1y dy=0

Q: x +x dx 5. The integration / x² – 1 (Choose the correct letter).

A:

Q: Linear coefficients in 2 variables: Solve the equation (x - y + 1) dx (x + 4y + 1) dy = 0 O In[(x +…

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Q: x² + 4x – 5 dx = Using Trigonometric Substitution :| f(e)de find the new limits of integration. x+2…

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Q: 03// By using Gaussian quadrature, calculate the value of the given integration. dx sin(x) Use two…

A: First, transform the limits of integration such that the lower limit is -1 and the upper limit is 1…

Q: √x²-1 The value of the definite integral / dx is in the form F(b) - F(a), where a and b are the…

A:

Q: II. Perform the integration. 2 1. 2 CSc" x cot xycsc x - 1 dx

A: Note:-  1.  ddxcscx=-cotxcscx 2.  cscπ6=2 3.  cscπ2=1   Given that ∫π6π2csc2x cotxcscx-1 dx Take…

Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: x² – 1 dx Evaluate the given definite integral: A 2 в) 2/3 3/2 1/2

A:

Q: Given y cosh' (x-3). Based on the given function show that d'y d'y 4 sinh (2x) dx dr dy -[tanh(x-3)]…

A: "Since there is a typo in the problem, I made a correction to get the result and proved it".…

Q: cos(x) 1- cos(x) by miscellaneous substitution, the substitution z=tan In solving the antiderivative…

A: Here we have to use the subsitution.

Q: 2. π 2 1/² cott x dx 4

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Q: rms of Q. at the value of P is halved wher x+1)². When x = 4, y = 100. %3D rms of x. of y when x =…

A: Variation: a) y∞(x+1)2 y=k(x+1)2 Where k is variation constant.this is the relation between x and y.

Q: Change the order of integration to be able solve the following. Be sure to show your work with a…

A: The graph is shown below; I=∫03∫exe31lny dydx0≤x≤≤3ex≤y≤e3Now, reverse the order of…

Q: 7. Integrating Factors Found by Inspection: Solve the equation ydx + (x + x³y² ) dy = 0

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Q: .Using 1 - node Gaussian integration, we have f f(x) dx wif(x₁). What is the value of x₁ ? b-a (c)…

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Q: Find the general solution to the differential equation y + 9x³y = x² It is not possible to express…

A: The given differential equation is y'+9x8y=x9. Let I=∫ex9dx+C. Comparing the given differential…

Q: Using Integration by Parts. [x¹e xn ex dx is equal to xnex +nfx-1e* dx xnex - nf x¹ ex dx the above…

A: The integration by parts formula is,    ∫u v' =uv - ∫v u'

Q: .Using 1 – node Gaussian integration, we have ſ ƒ(x) dx ≈ w₁ƒ (x₁). What is the value of x₁ ? b+a…

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Q: du u=?, v= In the above equation a partially unknown integration by parts is applied. Find u…

A: Given:        ∫x2 dx = ux36 - ∫x36duwhere v = x36 To find:            The value of u at x = π2

Q: 3x2 dx . 4. Evaluate 7x +C 3/1-x cos (3x) + C sin-1(x³) + C The antiderivative cannot be found

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Q: 3 X dx by Jo logsinx Q3) Evaluate the integral rapezoidal method (use h=1)

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Q: Beta Function : Evalnate the following integrals s a-4 dx I+x4 k, k b. (1- z ans. sin( ans: C.…

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Q: Two methods Evaluate sin x In (cos x) dx in the following T/3 two ways. a. Use integration by parts.…

A: The given integral is ∫0π3 sin x lncosx dx. a. Integration by parts: let u=lncosx  and  dv=sinx.…

Q: EQUATIONS REDUCIBLE TO LINEAR FORM e^y(dy/dx+1)=e^x

A: Given : ey(dy/dx + 1) = ex

Q: S 3 2 X -dx 2 X +4

A: Given integral to solve: ∫x23x23+4dx Formula of integration used: ∫xndx=xn+1n+1+C…

Q: Variable Separable and Homogenoue D.E -x + x? - x - Sin? dy (3x-4x? - っ) cosydx

A: We will find out the required general solution.

Q: Using an integrating factor solve the equation dy dx + 2y/x = x

A: Given differential equation dydx+2y/x=x The objective is to solve the differential equation by using…

Q: Using integration by parts, which of the following options is true of J x arcsec x dx ? (A none of…

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Q: 17. Derive Simpson's three-eight rule for the numerical integration and using this rule calculate…

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Q: Using Simpson's 3/8th rule, evaluate the integration 10e x dx, n=3, h =1/3 3x-2 the result is AO…

A: I am going to calculate the given problem using simpson's 3/8 th rule. first we calculate the…

Q: cos x v9 + 25 sin² x dx

A: Using trigonometric substitution

Q: 4 Using Trigonometric Substitution x2 +4x - 5 dx = | f(e)de find the new limits of integration. X+2…

A: By using Trignometric Substitution fin the limits∫14x2+4x-5x+2dx=∫abf(θ)dθ

Q: 1. Siste dx It sex x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: e2x To evaluate the integral dx we use the e4x + 1 substitution O a. ex = t O b. e2x =t O c. e4x = t…

A:

Q: 4 x² +4x-5 dx= find the new limits of integration. Using Trigonometric Substitution f(e) de x+2 TT O…

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Q: 14. Use integration by parts to find S x cos x dx . You MUST show the four substitution parts (u. v.…

A: Integration by parts ∫u dv=uv-∫vdu

Q: x e' dx Using integration by parts to evaluate it is best to let (x+1)2"

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 1. | 37 2 T 2 cos² 4x dx

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

Q: 3+3/x dx

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Q: cos(x) f(x) = 1- cos(x) In solving the antiderivative of by miscellaneous substitution, the…

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Q: Which of the following is the best integration technique to use for x e* dx? a. The integration by…

A: When two different functions are given, in which one function seems to be diminished by…

Q: FoY what value of a, the function ulx)= 1+ 2x is integral equation a Solution of the e ult) dt.

A: We have to first transform u(x) to u(t).

Q: Find the most general antiderivative of f(x). Note: Any arbitrary constants used must be an…

A: topic - integration