e³=(1+e²=)³ dz, 3 u= e= u%3De du=ex

Q: First make a substitution and then ure integration by parts to evaluate the integral. 503 cos(02) de…

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Q: Evaluate the given integral using the substitution (or method) indicated. (x+ 9)e*+ 9) dc; u = (x+…

A: Given inlegral ,                       (x+9)2 I = ∫ (x+9) e            dx

Q: r? + I dx

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

Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: Evaluate the iterated integral by converting a2-y? e. y dx dy 4 r sin (0) dr de = Need Help? Read It

A: Consider the integrals ∫0a∫0a2-y2ydxdy

Q: b. I = S(1+ sin x)5 cos x dx

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

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Q: et Evaluate the integral , -dx 3+ ez using the substitution u = 3+e². e* dx 3+ e* +C

A: Given that: ∫ex3+exdx

Q: 15 dx, x8 %3D du=2x dx

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Q: Find the following indefinite integrals. (» /= +1 dx. (a) x2 (b) / : re dx. xe' 2.x +1 dx. x2 +1 (c)

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Q: Calculate by using integration by substitution, 6 . • X dx x4 + 2 What was your substitution? u =…

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Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) de

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Q: Find the general indefinite integral. (Use C for the constant of integration.) / (u6 – 2u5 – u?. du

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Q: Evaluate the following integrals (from A to E) A. Integration by parts cos dz i) (3t + t?) sin(2t)…

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Q: First make a substitution, and then use integration by parts to find the following definite…

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Q: H-W: 1- Fraluate the following integrals a - St7 +12 dt

A: (a) Assume 7t2+12=u and find the total differential.

Q: Evaluate the given definite integral using appropriate substitution: 8e2a dx @ 4e4 – 4 A © 4e4 + 4…

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Q: Consider the indefinite integral 5x+6 dx: a) This can be transformed into a basic integral by…

A: Given ∫e5x+6 dxLet u=5x+6 →dudx=5→dx=15du

Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: Evaluate the given indefinite integral. Indicate u, n, and du. e2x +2e* dx e* +1

A: According to question,Given integral,Let I = ∫e2x+2exex+1 dx

Q: Calculate the following integrals. (a) ſ 4 dx (b) S,". 100 1 - dx (c) z dx

A: (a) ∫-134dx⇒4∫-13dx⇒4x-13⇒4(3-(-1))⇒4(3+1)⇒16∫-134dx=16

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: The given integral,      ∫33316x-33dx

Q: In the given integral below, what is the values of u and a? dx /3 — х2 — 2х - и — х + 2 аnd a — = 2…

A: ∫dx3-x2-2x

Q: Lm e7x dx 00

A: This question is based on definite integral.

Q: Choose the correct answer to the following integral: 1 dx x In? (x) where 0 < a <b are positive real…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: 1 Replace the letter A in the integral Ae*+ +3,2 dx so that the integral evaluates to + C. A =…

A: Given: ∫Ae6x3+3x2dx=12e6x3+3x2+C To Find: The value of A. Concept: ∫exdx=ex+c

Q: E Evaluate the integral by integrating the equivalent reversed order : 14 ex dydx 1 e

A: I hope that the given solution will help you . Thank you. Best regards.

Q: 1. S( 3 cos (37*) dx du

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Q: Consider the indefinite integral (In(z))² dz: This can be transformed into a basic integral by…

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Q: (x² + 2x) cos(2x) dx

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Q: fo-Vin° e+2 ln² e+ln@ de

A: Here we have to solve the given Integral.

Q: Use the substitution u = 6x? + 1 to convert the integral fo xeoz+1 dx to an integral of the form L…

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Q: dx I = S %3D a²+x2 e.

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Q: x+1 dx

A: We need to integrate∫x3+1xdx

Q: Express the integral in terms of the variable u, but do not evaluate it. ell In x dr; = In x e10 ell…

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Q: 4 dx=? e.

A: ∫14 4x-e-xdx =∫144xdx-∫14e-xdx =4∫141xdx-∫14e-xdx =4lnx14-e-x-114 =4lnx14--e-x14 =4lnx14+e-x14

Q: paluate the following integrals: 1. e ах cos bx dx [CBSE 2002]

A: Let I  =∫eaxcosbx dxUsing integral by parts formula and taking eax as first function, I =…

Q: Q3/ Choose the correct answer to evaluate the following integral dx = J。aーメ

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Q: Find or evaluate the integral. (Use C for the constant of integration.) sin(e) de 17 - 10 cos(e)

A: We  have to evaluate integral ∫sinθ17-10cosθdθ Substitute t=17-10cosθ…

Q: Consider the indefinite integral a3. Vx* + 5 dx: This can be transformed into a basic integral by…

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Q: Consider the indefinite integral x · Vx? + 3 dæ: This can be transformed into a basic integral by…

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Q: r0.5 clnx dx

A: Given: ∫00.5xlnx dx

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: Integration

Q: Use Trapezoidal method to find the following integral given h = 0.2. * 1 S In(x + 1)dx 0.3846 O…

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Q: Use two or more substitutions to find the following integral. dx (Hint: Begin with u = 4+x.) 7+ V4+x…

A: This question is related to Indefinite Integral, we will use substitution method to solve it.

Q: et dx using the substitution u = Evaluate the integral 17 + e*. 17+ ex

A: To evaluate the integral: ∫ex17+exdx. Solution: Le substitute u=17+ex. Differentiating both sides,…

Q: Given the integral dx Зх-7 Use the technique that we went over in class to find "u", "u'", and "dx"

A: Given : ∫43x-7dx

Q: Evaluate the integrals

A: We have to evaluate the definite integral: ∫-ππ1-cos2 t32dt We know the trigonometric identity, cos2…