Choose correct answer for indefinite integral dæ 3 a) x æ +- * + C 373 b) 6x-8 – 20a-5+C c) 2x4 – 3x3 + 2x² + C

Q: (5tan2 elan 20 sec2 Bdß 1.

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Q: 4 dr. 162? — 16х +13 Use the Table of Integrals in the back of your textbook to evaluate Perform the…

A: Indefinite Integration

Q: 3x+1 2-2x+2

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Q: Prove without calculating the integrals explicitly that V1 + x³dx < | V1 + x²dx

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Q: 2Sin Cze) 4-COS S (zt)

A: The solution for the above question is as shown below.

Q: 2. Use Cauchy's Integral formula, Evaluate the following sin42 IZ1= 3. (Z-4)3

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

Q: Evaluate the integrals in Exercises 69 : (2r – 1) cos V3(2r – 1)² + 6 -dr V3(2r – 1)2 + 6 69.

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Q: How did you get the integral of u/sqrt(u^2-1) to equal srqt(u^2-1) Steps 4 to 5 in your answer.…

A: Solve the integral by substitution method

Q: use a computer algebra system to evaluate the triple iterated integral.

A: Using a calculator we get:

Q: use a computer algebra system to evaluate the triple iterated integral.

A: We have given a triple integral;

Q: Evaluate the integrals in Exercises 33–36. x dx 9 – x2 dx 33. 34. x(9 – x²) dx dx 35. 36. 9 – x? V9…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: The improper integral da is given by: Az-5 Select one: sec((b-2)/3) O a. 1 lim 3b 100 soc(4/3) Csc 0…

A: The given proper integral is;  I=∫6∞1x2-4x-5dx

Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral belov 7x+1 dx 7x+1 dx%=

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Q: Evaluate the integral (8 – „2),"| I dx, 4. by making the appropriate substitution: u = = xp |-…

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Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: Evaluate the integral. "T/3 8 sec 0 tan 8 de IT/4

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Q: 4. Determine the integral of f(z) = 1/[(z – a)(z – b)], where a and b are in general complex…

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Q: 6. Evaluate the fallowing real integrals by residue theerem 3 2计 I = Ssine -d8;a>l anse 2(a- Ja?1)

A: Given: I=∫02πsin2θa+cosθdθ, a&gt;1

Q: Use the substitution u = 7x + 4x to evaluate the indefinite integral below. |(14x+4)7x + 4x dx Write…

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Q: 2. Prove or disprove that Z, xZ, is integral domain.

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Q: Use substitution to find the indefinite integral. 2. zy5z 5z²-8 dz 2. - 8 dz =|

A: The given integral is: I=∫z5z2-8 dz

Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: 2. Use Cauchy's Integral formula, Evaluate the foll D I - & tantz Z² C: 171=1

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Q: Evaluate the integrals in Exercises

A: 47. ∫sech2x-12 dx48. ∫ csch25-x dx

Q: dr 5. 2 ?+3 2

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x2 +…

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Q: So (x²+3x+3) dx Theorem 4% f6) dx= lim f (xi) Ax where Ax= b-a and x= atcAX

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Q: Use geometry (i.e., areas of triangles, rectangles, and circles) to find the exact values of each of…

A: Integration function and properties help to find the value of the given integral. The integration…

Q: Evaluate the integral. VZ/2 dr V1-2

A: In this question we have to evaluate the Integral.

Q: Use reduction formulas to evaluate the integrals ∫ 8 cot4 t dt

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Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 * O 0.412 O 0.211 O 0.189 O 0.316

A: Evaluate definite Integral

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 6. (x2…

A: To Evaluate: The integral function using theorem 4.

Q: Evaluate the integral (2³ + 1)'/³,³dx.

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Q: Evaluate the integral 3. (2x+3)(r²+3x + 2) dr by making the substitution u = x² + 3x + 2. + C NOTE:…

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Q: To evaluate the integrals by Cauchy Integral Formula or the Extension of the Cauchy Integral…

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Q: evaluate the integral using the methods covered in the text so far.

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Q: Calculate the integral. 2x° (x + 2)²dæ

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Q: Evaluate the integral.  integral from -7 to 0 and integral from -5 to 0 (5x-6y) dydx   a)- 175/2…

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Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using mid points with 4 rectangles, you…

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Q: In (xle)secx (2- sec²x) ha sec(3A – x) Ju"du? What should be the value of A for dr to be integrable…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to…

Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

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Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

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Q: Evaluate the integral. * /4 2 sec (0) tan4(0) de

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x2 4x…

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: (§5.4, Q12) Evaluate the integral using FTC I: (5u* + u? – u) du.

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Q: 4) Show that the circumference of the unit circle is equal to 1 1 dæ (an improper integral) x2…

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Q: -dz 22 + 4z Use Cauchy's theorem or Cauchy's formula to compute integrals and -dz. 22 + 4 Reme mber…

A: Given that ∫z=1ezz2+4zdz and ∫z=1ezz2+4dz. Thee objective is to find the integral values using the…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.