Question A. Use different techniques of integration to evaluate the following integrals. 1 dx 3- 2x – x²

Q: sec(2x) tan(2.x)dx

A: We will find out the required value.

Q: 14e" dx 1+ e20

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Q: Evaluate the given integral. ∫ 5e-2x dx.

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Q: Evaluate following integrals. dx a) (x² + 1)(x² + 2x + 2)

A: Here we have to find the integration of this function for this, calculate the residue at each pole…

Q: 7/2 2. Is cot x dx an improper integral? Explain.

A: Given integral is not an improper integral.

Q: Q1. Evaluate the following Integrals 1 dx xVx

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Q: Evaluate the following integrals a) dx J (2x - 1)3 6x dx b) 2.

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Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: a) Evaluate the following integrals by Parts 6) (lnx)² dx In x [√x 8) | Ir 8) In(x² + 4)dx 9) […

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: If x = -1, c = 0, then the product of the * following integral is dx

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

Q: Evaluate the following integrals.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the integrals below. a) J(2x + 3)* dx b) (x?(x³ + 3)6 dx

A: Integrate. ∫2x+34dx=2x+355×1ddx2x+3+C=2x+355×12+C=2x+3510+C

Q: Evaluate the integral. (Use C for the constant of integration.) 6 + du 2

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Q: Calculate the following integrals. I (b) /2 I sec rdx-

A: The given integration is  I = ∫xsec2xdx

Q: a) Evaluate the following integrals 1) xe3*dx 2) | x2 sin x dx 3) | x sin 2x dx

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Q: et dx 2x

A: To evaluate the given interval, ∫exe2x+5dx We use the method of substitution to evaluate the…

Q: Evaluate the integral using tabular integration by parts. | (5 2² – x + 1) e¯* dæe +C

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Q: 2х 2 3 dx ex

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Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: e+?dx 3. | Vx + 3e*dx 4.

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Q: 1. Evaluate the following integrals using integration by parts. x5e* dx

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Q: . Evaluate the integral, if it exists. L(** – 3x/3 + 1) dx а. i (20* -) dx b. 2e* X.

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Q: 2. 21-/9 – 4ª dx

A: The by parts method is given as ∫uv=u∫v-∫u'(v) where u is the first function and v is the second…

Q: Question 12 Compute the following integrals: (a) fix√2x - Idr. (b) Sze-37 dz. Pay attention to…

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Q: Question 2 Evaluate the following integrals using the appropriate rules of integration. 2.1 S(cos x…

A: (2.1) Given- ∫-π2π2cos x-1 dx To find- Evaluating the above integral using appropiate rules of…

Q: Consider the following integral: sinx dxdy I By reversing the order of integration, the value ofI is…

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Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: 5. Evaluate the Integral ?(x²-2)"dx

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Q: 6 sec*x dx

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Q: Question 12 > x8 dx (29 + 7)? The integral is divergent.

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Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: We have to find

Q: Determine the following integrals or state that they diverge. 2.) xln(x)dx 0.

A:

Q: Question 2 Evaluate the following integrals using the appropriate rules of integration. r9 b-Vb db…

A: Consider the provided integral, ∫49b-bb3db Evaluate the provided integral. We can write as,…

Q: QUESTION 5 By using integration by parts, the value of the integral In 2x dx is x In 2x + x+c x In…

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Q: i. L, Ix|e(1+x²) dx

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

Q: Evaluate the given integrals. 3x dx 1. S 2x*-1

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Q: 3 dx 2 (2 +

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate the following integrals by parts 5) f x1 x ln x dx

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Q: Evaluate the given integrals. 3x?dx 1. S 2х4—1

A: Given that a integration and we solve this problem by using general formula of integration.…

Q: Use the special or Bessel function to solve TWO from the following integrals In x 1. [ dx x* +1 2.…

A: It is given that

Q: Evaluate the given integrals. dx 3. Csc 3x-cot 3x

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Q: Question 2 Which among the following is an improper integral? 2 1 dx x[In?(3x) – 4] Inx dx le?…

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Q: The value of the integral is: b 12 f(x) dx = a

A: Given that the graph of the function  To find the definite integral that represents the shaded area

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: Question 1 For each improper integral below, show that it diverges or find its value. (a) / Valnz…

A: Solve the improper integrals, a) ∫07x lnxdxb) ∫04lnxxdx

Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

A:

Q: evaluate the given integral.

A: To evaluate the integral: ∫ x2e-xdx Formula used: Integration by parts: ∫uvdx=u∫vdx-∫dudx·∫vdxdx