integration Solve the following problems suox'+300)-dx on

Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

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Q: Integration by parts! Please be clear and concise as I do often get confused

A: Integration by parts:    ∫u.v dx=u∫v dx -∫[ddx(u).∫vdx]dx      ∫tan-1x1+x2dx

Q: Inverse Trig Integral Show the solution: dt = 2 Sin-1 VE + C Vt-t?

A: To show the solution

Q: dx (x+1)(x² +1) 0.

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Q: 12.S V1-e6x dx e3x

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Q: [ (2x–3v5) dx

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Q: 5. fx3 cos x? dx

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Q: 12. dx Ve -1

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Q: Integral sign:  cos(lnx) dx

A: According to the given information it is required to calculate the value of the integral:

Q: integrating x and xy' - x 12 = ?

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Q: sinh x + ex n the indefinite Integral JIn(cosh x + e*)- dx, what is the integrand? cosh x + e

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Q: number 2 integration by tables and other integration techniques

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Q: dx 2√√x + √x

A: Solution of given question is written in below steps.

Q: 5y"-(y')" = y sin a %3D yy" + 2x tan x %3D

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Q: Integration by Parts 1. L, Cos-1 x dx

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

Q: 10. (2х + Зу — 5)dx + (3х — у — 2)dy %3D 0 hint: Ca

A: We are asked to solve the differential equation.

Q: 2 sin -(x/6) dx Evaluate the integral 2. 36-x 2. r(sin sin (x/6) dx 2. V36-x?

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Q: Use integration to find the general solution of the differential equation. (Use C for the constant…

A: Given

Q: Solve the equation after it is complete using the integration factor X : = x + y A differential…

A: We are given the following differential equation.                y'=xx+y We will solve the given…

Q: emx cos nx dx

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Q: 1.ху dx — (х2 + у?) dy

A: Here, the given equation is: xy dx-(x2+y2)dy=0⇒dydx=xyx2+y2⇒dydx=xyx2x2+y2x2⇒dydx=yx1+yx2...(1)

Q: Basic Integration (x²-6++4) dx

A: A polynomial in the variable x is a function of the form anxn+an-1xn-1+···+a1x+a0. This polynomial…

Q: ation (1+xcos 2y)dr-x'sin 2 ydy = 0. %3D

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Q: evaluate using the suggested method.

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Q: Differential equation y+sqrt(x^2+y^2) dx = xdy

A: Differential equation

Q: 4. S sin(ln x) dx

A: ∫sin(ln x)dxSubstitute u=ln(x)→dudx=1x→dx=x*duUse x=eu=∫eusin(u) duWe will integrate by parts twice…

Q: dx Half-angle Substitution cos x +sin x-1

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Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

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Q: Integration by parts

A: Given integral

Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

A: Here we solve find general solution of differential equation.

Q: Solve using differentials:  A spherical balloon has a radius of 2 which changes to 2.1 when the…

A: A spherical balloon has a radius of 2 i.e r=2 which changes to 2.1 when the temperature rises i.e…

Q: (1-cos 6x)dx Perform the integration:S 1+cos 6x tanx - x +C c. tan3x – x+C A. -tanx – x+C D. tan3x –…

A: We have to choose correct option

Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

A: The given function is ,  dydx=x8ex9. To determine the general solution of the function integrate the…

Q: Use integration to find the general solution of the differential equation. (Use C for the constant…

A: Here, we need to solve dydx=15x2. So,                 dydx=15x2⇒ddxy=15x2Substitute ddxy with y' ⇒y'…

Q: Use integration to find the general solution of the differential equation. (Use C for the constant…

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Q: dx 1+x-2

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Q: dx 4 sinx-3 cosx

A: Given integration is  I=∫dx4sin x-3cos x   Here integrant is  fx=14sin x-3cos x The trigonometric…

Q: Two methodsa. Evaluate ∫x ln x2 dx using the substitution u = x2 and evaluating ∫ln u du.b. Evaluate…

A: ∫xlnx2 dx a. Put, u=x2⇒dudx=2x⇒du=2x dx⇒du2=x dx Therefore, ∫xlnx2 dx=∫lnu du2=12∫lnu du=12∫lnu·1…

Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: Use integration to find the general solution to the differential equation. (Use C for the constant…

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Q: 8. Se cOS x dx

A: Let, I=∫ex3cos x dx

Q: 14. √2-√x dx

A: SOLUTION-

Q: 14 V1+ 7x dx

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Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

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Q: ntegration e^(-3x)cos(3x) dx using integration by parts

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Q: Numerical Integration: •2 S² 1. -dx X

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Q: ,2x cos 3x dx

A: We need to integrate given function.

Q: 3. S tan-1 Vx dx

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Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

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Q: Solve the differential equation. (Use C for the constant of integration.) 4x2 dy dx V2 + x .3 %3D

A: See below the answer and calculation