Explain why the antiderivative y1 = ex+C1 is equivalent to the antiderivative   y2 = Cex

Q: 2x e d.x 4e2 – 8e" + 5

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Our objective is to find f.

Q: Find the antiderivative dx/(x2-100)2

A:

Q: What is the antiderivative of  4x^2 + 6 + 3/(x^2 + 1) ?

A: Given information:The given function is

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given:

Q: Explain why you can use the substitution method to evaluate |(-2x) · e- dx, but substi- tution…

A: We have to discuss the integrals: ∫-2x. e-x2dx We can use substitution method because derivatives of…

Q: . Then Var(X+Y+Z) is equal to:

A: Here x , y and z are independent variables  So covariance between them are zero

Q: x5V16x6 – 24x3 + 9 dx -

A:

Q: Find an antiderivative of ƒ(x) = 5x4 .

A: fx=5x4

Q: Find the deriDative ニレスナリょナス

A:

Q: Find the antiderivative of V1+ x² x³.

A: Our Aim is to find the antiderivative of 1+x2 x5.

Q: 2x dx V5 + 4x – x²

A:

Q: Determine the antiderivatives.

A: Determine the antiderivative

Q: what is the DE for this?

A:

Q: Find the most general antiderivative. 4.9 #9 f (x) = V2

A: Antiderivative of f(x) is integration on both sides.

Q: Differentiate.   y=20/x4

A:

Q: What it's the antiderivative of (x^3 + 2x + x) / x^4

A:

Q: /25 — 9х2 dx

A: Here, the integral(antiderivative) to be evaluated is  I=∫25-9x2 dx

Q: 1+e4x 1+e9x dx.

A:

Q: nd the antiderivative x² + 2x -dr. (r² + 1)'

A: Put x2=t then integrate.

Q: Find the antiderivative

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given:

Q: 81. A.) Explain why the antiderivative y1 = ex+C1 is equivalent to the antiderivative y2=Cex.…

A: Given antiderivative   y1=ex+c=ex.ec                                       since am+n=am.an⇒y1=ex.C…

Q: –3x6 + 6x12 dx -3

A:

Q: What is the antiderivative of 9x^2 times (1 + x^3)^1/2 ?

A: The given expression is,

Q: 4 – 5VX². 2 3,

A:

Q: 4.1.Supp.C. Find the following antiderivatives using substitution. 1 dx 4 23.

A:

Q: Find the antiderivative of (25x2+48x+15)/(x-1)(x+2)2

A: Antiderivative of a function f(x) is given by :…

Q: What is the antiderivative of 2sec^2(x) + 3 ?

A: The antiderivative of the function means that the integration of the given function.The integration…

Q: y" – 4y' + 3y = et 1+ ex

A:

Q: S (3x – 2)²dx

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given f''(x)=24x3-18x2+10xIntegrating it once, we getf'(x)=24x44-18x33+10x22+Cf'(x)=6x4-6x3+5x2+C

Q: Calculate || xVy² + x²dA, Where R = {(x, y) /0 < y <land 0 < x < y}

A:

Q: nS ISIna X -

A: Consider the quadratic equation as x2 – 12x +24 = 0.The formula for the general quadratic equation…

Q: Find the antiderivative 11x3e11(times x squared)

A:

Q: evaluate using the appropriate method or combination of methods.

A: We first find the integral without limit using by parts Use these u and v in by parts formula

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A:

Q: Find the antiderivative dx/(49x2+16)2

A:

Q: can be obtained as dv dt -9. 81 – 0.0321 × v²

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Q: y= x^4-3x^2+4x-3 find derivativr

A:

Q: Differentiate. y =  ex 4 − ex  y ′ =

A: Given function is : y=ex4-ex To find the value of dydx

Q: 6x V3x4 +2 dx

A:

Q: ential fit y = Ce^r fit y = Cx^

A:

Q: 2 Y ² = X₁ X=2 AOR LATUS RECTOM

A: Given y2=x

Q: Salve dy x(l+y) ニ。 XP

A:

Q: What is the antiderivative of 4^x ?

A:

Q: y” – 2y’ = ex (Non Homogenous DE)

A: Given DE is y” – 2y’ = ex.....(1) Let y=emx be trial solution of reduced equation of (1). Then…

Q: x". 2x*+ 3 ×

A: Given, y=x10-2 x9+3 x8

Q: AMD y= 上IHD y" OF *=_

A: Given; x=1/(t-1)2 and y=1/(t+2).