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Q: a = 2 -a Consider the integral I when answering the following questions. 1= 9(2) dz I -6

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Q: Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by…

A: Given: Let I=∫t lnt+1dt To Find: To evaluate the given integral.

Q: In t dt 1. 1(9–In²r)*

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Q: (In 1ºx+ 4lnx) *dx

A: Given: - The integral is, ∫(ln10x+4ln(x))8dxx To find: - The solution of the given integral. include…

Q: ππ 2 CAP• 0 0 0 ¢ sinr do dr dộ

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Q: 5 — 2х da J V12x – 4x2 12х —

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Q: What is the integral? I get ((3^(e+1))/(e+1)) + 8e -8

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Q: 1 6. (3x)3 +e2 + 2x2 dx

A: Evaluate: ∫13x3-32x2+e2+x2dx

Q: - 7/2 ex -dx cos (e*)

A: We have to find the value of ∫0π2excos5exdx. Let I=∫0π2excos5exdx Put ex=tex dx=dtWhen…

Q: (4-5 vx)* Evaluate the indefinite integral. J

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Q: Use substitution to rewrite and solve the definite integral: 5æ(a² – 2)*dæ Let u = New integral: du…

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Q: Solve z2 = 1+ p² + q² . Ans. Complete integral is cosh-(z) = (a. 1

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Evaluate the indefinite integral: (2+ e7=)© dx

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Q: Solve the following Integral Equation: Ho)-2.

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Q: 2 3 3t dt - 3 -2

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Q: yeby? dy V1+e6y?

A: The objective of the question is  determined indefinite integral.

Q: Evaluate the integral: 3 9x dx

A: Given,          ∫3-9x2dx

Q: 6dx X – - 3√/x²

A: Given

Q: 3- I = xp- (x² + 1)²(x² + 2x + 2) Solve this integral by using Rezidue Therom. 8.

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Q: Hi could you help me solve the integral of e^(x/2) in contrast to the integral of e^(2x)? I…

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Q: 4.5 Can you show me all the steps to solve this problem? Directions: Evaluate the indefinite…

A: Calculate the indefinite integral.

Q: Define a substitution variable u and write ;dr in terms of only u. (2x – 1)2 You do not need to…

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

Q: Qs. Solve the Povowing intieel value Problem fct) + 4 fct) = t; frosed

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Q: 24. Solve the following integral using substitution method: f8x√2x² - 1dx

A: Sol:- ∫ 8x2x2-1dxTake the constant out:  ∫a·fxdx=a·∫fxdx=8·∫ x2x2-1dxIntegral Substitution…

Q: -3 QI Solve the double integral for S, (E+?) dydx А: 8.94 В: 8.05 C: 9.88 D: 9.55

A: Here we solve double integral . we have constant integral limit . we solve the double integral with…

Q: How to solve this integral via trigonometric substitution?

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Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: 6. COS dz

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Q: dx - Evaluate the integral : o using residues and any other method which can be applied to solve…

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Q: ne J反Inx dx

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Q: (4) / | Va In x da (d) In x dx x2 (e)

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Q: -2 -t² rln s Evaluate the integral: 5² 5²² n fote" du ds dt

A: We have to evaluate the integral ∫12∫tt2∫0ln st eu du ds dt.

Q: 52. (c) The vertical line x = k divides R into two regions where the area of the region to the left…

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Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given…

Q: Show all necessary solutions and box all final answers submit your solutions together. II. Find the…

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Q: This last integral equals +C After substituting back for u we obtain the following final form of the…

A: Given that: The indefinite integral ∫ x7 3 + 7x812 dx .

Q: : A) Solve the following integral: S x5J4(x) dx.

A: It is known that ∫xvJv-1x dx=xvJvx.

Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the…

A: Given: I=∫x4-4x2+8x2xdx   ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: 4.5 Can you show me all the steps to solve this problem? Directions: Evaluate the indefinite…

A: Consider the given integral:

Q: + 32x2 dx. For items 7 and 8, refer to er? 7. Discuss how will you solve the given indefinite…

A: ∫ex2+32x21xdx=∫xex2+x32x2dx

Q: Solve the integral equation t A(t) = e* + e* / e¯f(+) dr.

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Evaluate the integral: -36 24 (A) Which trig substitution is correct for this integral? Or - 4…

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Q: 1 r 1+ r2 4 Solve the integral: dr do.

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Q: Assume that A, B, and C are positive coefficients. Symbolab.com solves this integral using…

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Q: dp p(-75+25p²) 2 S. Trigonometric Substitution

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Q: 4. f²₁(x² x)dx 5. (4- x²) dx

A: topic- definite integral

Q: 13x? + 17 I( 2x+1)(x² + 4 dx What is the indefinite integral of

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Q: (b) Solve the following indefinite integrals.

A: i. Given integral ∫sinxcos2xdx

Q: 24 e121n(x²) 2)) dx

A: