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## Related Calculus Q&A

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Q: 4 – 9x²dx using integration by parts and trigonometric substitution.

A: Given integration can be written as, Here we use trigonometric substitution.

Q: /4 – 9x²dx using integration by parts and trigonometric substitution.

A: Given:

Q: 3 dx Q1 Evaluate | by trigonometric substitution integration method? (1 +x*)/2

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Q: 8 dx Q1 Evaluate | (1+ by trigonometric substitution integration method?

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Q: 8 dx Q1 Evaluate (1+x)? by trigonometric substitution integration method?

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Q: 1 N. S- dx (Integration by Trigonometric Substitution) x2Vx2+4

A: Click to see the answer

Q: 1. ſx3 tan-1x² dx (Integration by Parts)

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Q: 2) Integrate using trigonometric substitution (a) s dx 4- x² (b) S, dx Vx2- 9

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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…

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Q: (b) Use integration by part or tabular method to find i. 2e2" cos 3x dx. ii. x° sin 3x dx.

A: Click to see the answer

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Q: 2. Approximate (x-3) dx using 4 rectangles. It is approximatiley (If necessary, round to two decimal…

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Q: cos(x) Illustrate the evaluation of dx using techniques of integration J9+ sin?(x)

A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: 5 dx Evaluate by dividing the interval into 8 equal parts x2+6x+10 by using Trapezoidal rule.

A: The given integral is ∫151x2+6x+10dx Thus interval is [1,5]. Now we have to divide the interval [1,…

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Q: Solving the question by nonhomogeneous equation Not: without using themethod of variation of…

A: The given differential equation is: d2ydx2+y=tan x

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Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

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Q: 3. Evaluate dx. Hence find the value of sinx dx. Va -x)

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Q: 9. Using integration by parts, evaluate fe* sin 3x dx.

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Q: xe* The only way to find / dx is to use integration by parts. (x + 1)2

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Q: (ii) Using integration by parts and the result in (i), find [sin"x dx.

A: We use integration by parts

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Q: SSi cos(x)esin(x)-2Y dxdy

A: Consider the provided integral, ∫01∫0π2cosxesinx-2ydxdy We need to evaluate the above integral.

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Q: Diffential Equation by Substitution: DE (x+2y-1)^2 dx = dy

A: We have to solve differential equation.

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Q: II. Perform the integration. 2 2 1. csc" x cot xVcsc x – 1 dx

A: Click to see the answer

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Q: II. Perform the integration. 2 1. Csc" x cot xy csc x 1 dx - 6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

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Q: 8 dx Evaluate | by trigonometric substitution integration method? (1+x*)²

A: You have posted multiple questions. As per the instruction, we will be answering only the first one.…

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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…

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Q: За + 2 dx. V6 – x2 x2 + c Evaluate the integral - а) 2 arcsin( 6а) — 3у6 — 2? +с - b) 2 агcsin( ба)…

A: Click to see the answer

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Q: 25. Solve using integration by parts f x² Vx – 1 dx. Show your solution.

A: Click to see the answer

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Q: 32. Vx arctan x/2 dx

A: Click to see the answer

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Q: 4) dx (Use integration by substitution.) x' +1

A: As per our guidelines we can answer one question. please repost other Seperately

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Q: i [bcos.x sinx dx cCos.x ii S eax. dx 1+ eax iii | (a -)* dx

A: According to our guidelines we can answer only three sub-parts rest can be re-posted. We going to…

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Q: What are the right parts (u & dv) must be choose to solve the integration Sx²e** dx by using…

A: Click to see the answer

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Q: 44. sin(V#) dr First make a substitution, then use integration by parts.

A: At first we make a substitute and then calculate the value of integration by 'By Parts' method.

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Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

A: Click to see the answer

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Q: 25 dx Evaluate by dividing the interval into 8 equal parts 1 x2 +6x+ 10 by using Trapezoidal rule.

A: Click to see the answer

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Q: sin(y) = -5x dy Also, dt 10. dx Find when y = -T. dt

A: Consider the following: Differentiating the function with respect to x on both sides, we have,

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Q: [sin x cos“ x dx 14 4. Integrate:

A: Click to see the answer

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Q: Solve f 4x cos(3x) dx using Integration by Parts.

A: This is based on integration by parts

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Q: 26. Solve using integration by parts f x*e-3* dx. Show your solution

A: Click to see the answer

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Q: While integrating J Inx dx by integration by parts we get the value of v = а. 1 O b. Inx O c. 0 O d.…

A: The given integral is ∫lnxdx. The rule for integration by parts is given by ∫udv=uv-∫vdu. We have to…

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Q: 2. Integrate: Integration by Parts cos?x dx

A: Given : Integral cos2(x) dx

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Q: x = 3 + sin t, y= cost-2, Ostsa

A: Click to see the answer

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Q: 3 dx 1. Use the Simpson's and Trapezoidal rule with n = 4 to estimate . Then compare the two…

A: Given: I=∫13dxx. n=4 By trapezoidal rule, ∫abfxdx can be evaluated as,…

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Q: 02:- By using integration by part, find :- (Choose two only) 1- Sxe-* dx 3-S(1+ x²)e¬*dx 2-f Inx…

A: As per the company guideline's we are supposed to answer first question as mentioned by the…

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Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

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Q: SOLVE USING INTEGRATING FACTOR 7. (y +y cos x- ye") dx + (3x +3 sin x – 3e*) dy = 0; y (0) = - 1 %3D

A: Click to see the answer

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Q: 2. Integrate | sin x cos? x dx

A: Click to see the answer

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Q: 2. Integrating Factor by Formula a) (2y2 + 2y + 4x2 )dx + (2xy + x)dy = 0

A: Click to see the answer

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Q: Integrating Factor by Formula a) (2y² + 2y + 4x²)dx + (2xy + x)dy = 0

A: The given expression of the form Mdx+Ndy=0 For exact ∂M∂y=∂N∂x M=2y2+2y+4x2∂M∂y=4y+2N=2xy+x∂N∂x=2y+1

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Q: 03/A- Using Trapezoidal rule ,choose the correct integration value of sin(2x) with width 15? 15.0053…

A: Here the given function is f(x) = sin(2x) we have to find integration by trapezoidal rule.

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Q: Find possible values of a and b that make the statement true. If possible, use a graph to support…

A: We have to find possible values of a and b that make the statement true. A=∫absinxdx<0