Vx² – 25 | The result of the integral in 6 , given dx is 5 tan 6– 50 +C

Q: A. Evaluate the following integrals: 3 | tan°x dx 1.

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Q: dx 6. Evaluate the improper integral. x² +3x+ 2

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Q: A u substitution has been used to evaluate the following integral. [ ²₁ f(x) dx = [₁, 2²( [²₁x² (7 +…

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Q: he resulting integral of dx is ax + b ln x -Arctan +C, where a, b, d, e, and x3-2x2+5x are integers.…

A: b=2

Q: 6 (x²+1) dx S (23+3x-2)²

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Q: tan (In 4x) cos (In |(2x)"|)|+C. what is b? The integral of dx is b In A B 2 4 4

A: Given :  ∫tan(ln|4x2|)xdx=bln(|cos(ln|(2x)a|)| +C   To find : Value of b

Q: Q32] evaluate the Cauchy principal value of the given improper integral. roo 1 dx 6x + 25

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Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: The integral ₁₁x – y dxdy is equal to: Select one: 0 O2 O None of them -2

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Q: 2x Evaluate the improper integral J dx, if it exists. (x2 + 64)2

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Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

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Q: Q32] evaluate the Cauchy principal value of the given improper integral. roo 1 dx x° + 1

A: Since you have post more than one non interlinking question as per our guideline we can solve only…

Q: a) Evaluate the integrals using appropriate substitutions. dx Sino i)S i) f de Cos? 8+1 1+16x2

A: as per our guidelines I am solving only first question with both parts a(i) ∫dx1+16x2ii ∫sinθcos2θdθ

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

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

Q: 2 c2 Reverse order and evaluate the integral S, 2y2 sin(xy) dydx

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Q: Evaluate: 2 1 dx x7 The integral is divergent.

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Q: Q5- The value of the integral J. Where C is Z = |3| (Z+1)*

A: Cauchy integral formula

Q: 3T en: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (").

A: Given query is to find the indicated function.

Q: +00 dx II. Evaluate the improper integral x(In x)²

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Q: Q5- The value of the integral J. Where C is Z = |3| (Z+1)* .........

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Q: Evaluate the integral using the given substitution. 15) 1- sin cos dt, u = 1 - sin 13 1 - sin + C A)…

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Q: Evaluate the integral. Express answer as both exact and using 2-decimal places. • T X 4 S 2cos X…

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Q: Evaluate the integral (= - 11)" de, 26 by making the appropriate substitution: u = 26 |- NOTE: Your…

A: Proceed as shown below...

Q: 11 dx x2 +4 Evaluate the improper integral:

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Q: (뚜 - 굶) da 3x Evaluate the integral J (* – 3) dx.

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Q: 5. Evaluate the integral: Jsin?x cos'x dx

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Q: Evaluate the integral 35 dz 4 by making the substitution u = x* – 6. +C

A: integration

Q: tan (in |4x2|) dx is bin sec (In |(2x)ªl)| + C. what is ba The integral of A B) 4 © 1 1

A: Topic:- integration

Q: Find the integral for positive integers m, n sin mx cos nx dx -T

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: (d) Prove that 1-cos 2x dx is divergent. Hint: Split the expression inside the integral into two…

A: Integral is converges or divergence

Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

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Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

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Q: Evaluate the integral: a. ∫ex √(1+ex) dx  b. ∫ ((1+ex)2)/(ex) dx  c. ∫ esin2θcos2θ dθ

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Q: Q/5 Evaluate the integral of: (a) St³et* dt dx (b) 2 x (In x)²

A: We have to evaluate the integral. Using the substitution method we can solve these questions.…

Q: Q3. Find integral of ( by using Rectangular rule): -38 L Sin(x) In(x + 2) dx , n = 7 24

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Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

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Q: G(x) = ∫^1vx xt2 dt (1 is the number on top of the integral sign, x on the bottom)

A: Given integral is:Solving the indefinite integral: The antiderivative of a function of the form xn…

Q: Evaluate the integral below. cos(y) dy dx /x/3 Select one: O a. sin 1 O b. O O c. 1 O d. sin 2 – 1 O…

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Q: dx The integral can be rewritten as VT - x 00 lim (-2+ v1– 3) S--00 lim (-1+2v1– s) s--00 B lim (-2+…

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Q: The improper integral J 1 r2-4x-5 dx is given by:

A: In this question, we reduced the integral into trigonometric form by using suitable transformation.

Q: 8. dx Evaluate the improper integral if it exists O.

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Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

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

Q: Which of the following is an improper integral? dx ** 2х + 3 ... dx x² – 2x + 1 In(x² + 1) dx -2

A: Which of the following is an improper integral?

Q: 00 The improper integral | dx is x+2) -1

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Q: 12. Find the integral. (a) / e*VI+e=dx -64 1+ (b) /" 1 -dr x In a (c)

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Q: The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

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Q: Q3. Evaluate the following Integrals Stan* 0 sece de I. 2-16 хр- Vx II.

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