1- In x)² If u=In x, then dx=? L'a-wdu A B

Q: xe 2, x Cosz dx

A: Integration by parts, ∫udv=uv-∫vdu u is the first function Given integral, ∫x exdx

Q: Use Green s theorem to evaluate the give (y² dx + 8xy? dy)

A: In this question we will use basic of calculus i.e concept of integration. We will use green's…

Q: In(x) 1. Evaluate -dx if possible. If not possible, explain why.

A: As we know that the integration by parts:- ∫udv=uv-∫vdu

Q: Evaluate the integrals in Exercises

A: ∫-ln20cosh2x2dx∫0ln104sinh2x2dx

Q: 6. Encuentre la solución general de la siguiente ecuación diferencial dy 2.ry(y – 1) dx 3(1 + a)

A:

Q: Find

A:

Q: 1+cscx cotx integralf dx is ec X-CSCX

A:

Q: Section 3.4-The product rule and Quốtiént rule In(x) Differentiate: Y dy Preview %3D dx

A: Given: y=ln(x)x9

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))

A: We will be using the integral formula of log function to solve the above given integral. We can…

Q: Directon. tanx 6. Oy= (sinx) Fan a ANS: AN

A:

Q: Obtain a-(In x)? dx.

A: Given,  ∫x-5(lnx)2dx

Q: 2 9) -sinh? -cosh -dz

A:

Q: 22. Evaluate So Si S dx dy dz.

A:

Q: : )-+(÷), zw= (C) dx 1 et %3D dt 1 (: :)-+(-), -= (C) dx dt 1

A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

Q: first and second derrivative of: y=Arccos(e^2x)

A:

Q: (雲) 1 dy tion 1+ is = 3 dx wy da 3, 1 12, 1 1, 15 15, 1

A: We have to choose the correct answer

Q: r(10,3,3) dx (1,1,1) dy dz. - -

A:

Q: Use trapezoidal with 3 level Romberg ( k=3) to evaluate 1 Пх - Пх* cos dx 4

A: The complete solutions are given below

Q: If Z= sinh () show that: *=+y==0

A: GivenZ=sinhyx

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

A:

Q: S csc“(3y)dy

A:

Q: is 4= Sinh(2sinhix) shaw Hh at %3D 2 (a)

A:

Q: 3/8 d. rategy. Show

A:

Q: d - In(u²) dt dx et

A:

Q: Prove d [sin-! lu(x))]= I dx dulx) %3D NI- Culx)]? dx

A:

Q: sec Vn du in

A:

Q: 4х, th dt Vhat is the

A:

Q: 3 sinº x dx 4 Show that

A:

Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

Q: Integrate by Gaussian quadrature (n=3). dx Ji 1+x*

A:

Q: can this be evalnated by using L'HUSpital's Rule? im x2 3x+ 2 sin(x x)

A:

Q: 1. Use Fermat's principle to find the path followed by a light ray if the index of refraction is…

A:

Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

A:

Q: 4. You will need to use L'Hopitals Rule in this one Sxe-* dx

A: This is a improper integral problem

Q: INTEGRATE BY PARTS /4 2. Sa* x sin 2x dx

A: The given integral,       ∫0π4x sin2x dx

Q: Su+1 dn th-2

A: I =   ∫135x + 1x2 + x - 2dx    = ∫135x + 1x2 + x - 2dxWriting5x + 1  = A (2x + 1) +BOn solving , A…

Q: 2Linear edluotion 5. dy dx

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

Q: 16 Iny dy

A:

Q: sE de = 6 - +- + arctan( )) +c %3D 1+ Vx

A:

Q: 3. Stanh3x dx = Jsinh3x, Ssinh3x_ dx %3D u = cosh3x du = %3D

A:

Q: If y= tanu, u=v-- -, and v=ln x, dy at x= e? dx what is the value of

A:

Q: Compute dx in two ways and verify that the answers agree.

A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.

Q: er dy %3D sec da

A: The given differential equation is exdydx=sec y and the initial condition is y0=1. Solve the given…

Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

A:

Q: Differentiate y = rarctan(e") re arctan(e")+ re Option 2 Option 3 re arctan(e") - Option 4 None of…

A: