Given that a, b and n are positive real numbers. Write down ONLY the answer of the indefinite integral. 1.1 |a sin(bt) dt 1. 1.2 | sin(bx) cos(bx)dx па 3xb-1 1.3 | а +x! 1.4 | 1+axb 1.5 | Va- ebt -dt

Q: a) b.) O F+ x dx (x³ +1) ³ 3 Sinx sin 2x dx 2 cos x

A: 1. The given integral is ∫01x dxx2+13. W have to evaluate the given integral.

Q: on 3.2 p. 283/285 # 90 pute the following integrals using the guidelines for integrating powers o…

A: Please refer to the image below

Q: 1. Compute the given definite integrals: a) So(1 – 5æ) sin ædæ b)| re x² + ln³ æ

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Q: Which of the following is NOT EQUAL to the given integral. tanx 4+x2+x4 tanx tanx dr 4+x2+x+ dx+ -2…

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Q: 1 To evaluate the integral J dx, we substitute x = 3 tan 0-4. (z²+8z+25)*/2 Select one: O a. True O…

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Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

A: Given integral is∫e-13xsin5xdxThe integral is evaluated as shown below.

Q: For cach pair of definite integrals in Excrcises 13-18, decide which, if either, is larger, without…

A: 13. both are equal since the area covered by cos is same in both the region. 14. Question not…

Q: Find the indefinite integral. |cos 2x ein 2* de sin 2x A) 2 +C ein 2x +C B) C) sin 2x e cos2x +C D)…

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Q: 10. Evaluate the definite integrals by u-substitution. In5 Te(3-4e) de ( 2 cos 3x dx b. а.

A: a. ∫0π62 cos3x dxb. ∫0ln 5ex3-4ex dx

Q: 2. 1 Evaluate the definite integrals below. Use u-substitution when appropriate. 4 5 3el/x (a) (b) |…

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Q: Evaluate the following integrals: 1 1) [(x² – 1)-(4 – x² )dx Ix' - 4x+c) (ans. : 2) Je* . sin e* dx…

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Q: For each of the improper integrals below, if the comparison test applies, enter either A or B…

A: given 0<e-x≤1  for x≥1 1) ∫1∞5+sinxx-0.3dx it is known that  ∫1∞5+sinxx-0.3dx≤∫1∞5+1xdx…

Q: The value of the definite integral is Select one: 0 0 O 2/11 O-1/11 O none of the others O 1/11…

A: We have to solve above integral

Q: 3. (a) Evaluate the following integrals: (1) / 2x + 5 dx x – 3 (ii) / sin(tan 0) de cos? 0 = [ dt…

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Q: Evaluate the definite integral. 8t dt ° (3+ e)2 e 8f dt = (3+ e )? (Type an exact answer in terms of…

A: Here we have to solve definite integral

Q: 6. Evaluate the fallowing real integrals by residue theerem ? dX ニ ans : こ。(X+a?)2 493 • I- ans B 12…

A: Let's find.

Q: 3 Which of the following is equal to / sec 2 x tan³x dx to obtain the correct indefinite integral? A…

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Q: Find the following indefinite integrals if a, b and c are positive real numbers, with a +-1 and b +…

A: Note that a≠-1 and b≠ 1    then we can solve these integral

Q: 6. Evaluate following definite integrals: S(3x2 +2x – 2) a. b. (3x + 2VA)

A: Given  a)∫15(3x2+2x-2)b)∫49(3x+2x)  Let us evaluate the first integral (a)let…

Q: (2) Compute the following integrals. /4 (a) sin (4r) cos (4.r) dæ. (b) cos(ka)e-lz dx, Hint:…

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Q: Determine the following indefinite integral. X 15-02 ex dx = dx, x < In 3 9- e 2x (Type an exact…

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Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: In evaluating (2r+3)Vx+ 2 dx by substitution, if 4=x+2 then what will be the resulting indefinite…

A: This can be evaluated as follows:

Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct indef…

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Q: find the indefinite integrals. 1. ∫ e−0.05t dt 2. ∫ (3/t  -  2/t^2)  dt

A: case 1:The given indefinite  integral  is ∫e-0.05t dt.Let u = - 0.05t, then du/dt = -0.05.

Q: 10. | Vi(1? + 31 + 2) dt

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Q: , 1. Take the following integral numerically using an end corrected method. (n-7, h=0.001) (give…

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Q: 9/ Approximate the follwoing integrals using The Simpson's ruls @ 0-25 b (Cosx) dx -0-25 Š 0-5…

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Q: 6. Evaluate the fallowing real integrals by residue. theerem 3 -bm -am 응) Co3 mX ans : X Sin mx ans…

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Q: d) Determine the infinite integrals of the following e+2 i. ii. 2 3 sin2x dx

A: Evaluation of the integral

Q: d) Determine the infinite integrals of the following i. ii. JF 3 sin2x dx

A: Evaluate the definite Integral

Q: 5. Evaluate the following indefinite integrals. 8. **** Power 2 ...... sin.x dx. b-₁f.co₂x² dx…

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Q: 9. Determine the following antiderivatives: | sec?(x) tan(x) 4x (2x² + 3)° dx а. b. sin(2x) -dx-…

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Q: 2 dydx -23-1 (xy)³ SS.

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Q: The value of the definite integral fm12 √ex - 9 dx is in the form F(b) – F(a), where a In 9 and b…

A: We have to solve given Questions.

Q: Determine the following indefinite integral up to a constant c: / sin (2x). Select one: O…

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Q: 4) Evaluate the following indefinite integrals. a. S (+ V3 - dx 4 3x2 b. S (2 sec2 x- 5 cscx cot…

A: Integrare

Q: 1. Find the following indefinite integrals (any 4) (2/x* - 7x' +10e* – 1)dx (x* + 1)e* iii) dt +3x…

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Q: Select from the subsections, the one that corresponds to a step of the solution procedure of the…

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Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: Find a formula involving integrals for a particular solution of  D.E y^‴-3y^″-y^'+3y=sect

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Q: [V] Find the following indefinite integrals. Please don't forget "+ C". 66 1/2 (1) 1/2 + 1 1 x-1/2…

A: To evaluate the given indefinite integrals. 1). ∫x12+112·12x-12dx Solution: Let x12+1=t…

Q: Evaluate the following indefinite integrals. Show your solution. 1. f5 einx(sin x + cos x) dx ecos…

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Q: For each of the improper integrals below, if the comparison test applies, enter either A or B…

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: 16 Suppose we know that " (35(x) – 2) dr = 6 and that :[ #f(x²) dx = 8. Use this information and…

A: We have, ∫4163fx-2dx = 6 ∫04xfx2dx = 8 To evaluate: The value of ∫04fxdx

Q: 2. Find the following indefinite integrals. (a) / sin(In(x)) xp (b) / º etan-(x) dx x2 + 1 sin(t)…

A: (a) ∫sinlnxxdx Let; lnx=t⇒1xdx=dt     =∫sint dt=cost+C put again: t=lnx =coslnx+C Result:…

Q: 5. Evaluate the following integrals 3 sin #Z dz, c 1z-il=2 24 -4 ans: 3 co shz

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Q: 2.2 Find the indefinite integral of the following: I = S(4x² + 5x – 7)dx а. | b. I = S Vx dx I = J…

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