4x Use the appropriate substitution to evaluate the following integrals: dz =.

Q: 1 dx х6—х

A: To evaluate the integral: ∫1x6-xdx Solution: ∫1x6-xdx On simplifying further we get:…

Q: please answer the question and show all of your work

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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: Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

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Q: 6 (x²+1) dx S (23+3x-2)²

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Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: Evaluate the following integrals using either integration by substitution or integration by parts:…

A: Given ∫33x+1dx

Q: Q1. Evaluate the following Integrals 1 dx xVx

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Q: Find the exact value of the following improper integral: ex L x2 dx

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Q: Use the appropriate substitution to evaluate the following integrals: - dx 9x² + 1

A: The given integral is: I=∫x9x2+1dx

Q: T 11x + 29 dx The integral is equal to

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Q: Q1 - Evaluate the following integrals i. Sxe-*dx

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Q: :Find the integral for the following functions: - Se3x .sinh(x) dx

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Q: Evaluate the following integral by appropriate method: L 12x – 1| dx

A: Given integral is

Q: Q2 – Evaluate the following integrals. iv. S(secx – tanx)²dx

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Q: Evaluate the integrals:

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Q: 2х 3 2. Ver + 2 dx

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x'…

A: We calculate the given integral by substitution.

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: LEvaluate the following integrals. +vã )²dx 1.

A: 1. To evaluate the integral: ∫2+x2dxx Solution: Let substitute t=2+x. Differentiating with respect…

Q: Integrate the following Integrals: 1) [x² 3x dx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Evaluate the following integrals.

A: Given: I=∫x10xdx for evaluating given integral, we will use integral by parts theorem according to…

Q: 1 -dx х6—х

A: We have to evaluate the integral by substitution method: ∫1x6-xdx Rewriting the integral,…

Q: Q2) By using a division method. Evaluate the following integrals: y?tan-'ydy

A: To find the integration

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

A: The given integration is  I = ∫xsec2xdx

Q: Evaluate the following integrals: Væ(x + 1) dx =

A:

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: Use the substitution technique to determine the following integrals:

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Q: T6 Based on the image attached, differentiate each of the following integrals with respect to x.

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Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/√x - 2

A: Given Integral is., I=∫xx-2dx

Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

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Q: Sx(x² – 3)11 dx

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Q: Use the substitution technique to determine the following integrals:

A: Let,

Q: Evaluate the following integrals.

A: Given integral is  Let us substitute  u=ex⇒du = exdx⇒dx=e-xdu ∫dxex1-e2x=∫duu21-u2

Q: Q1 - Evaluate the following integrals i. " xe-*dx

A: We are evaluating the following integral:

Q: x³+2x 1. dx x2+1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Evaluate the following integrals: 1. fx² ln x dx

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: -c) S dx d) Sdx 4+x2 4+x2

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: For which of the following integrals should substitution be used, instead of Integration by Parts?…

A: Solution :option D substituition be…

Q: Evaluate the given integral with suitable substitution: (42x + 42) dz

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Q: Evaluate the following integral by appropriate method: L, V2 + lx[ dx

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Q: Evaluate the following integrals using Integration by Substitution. 9. S tanx dx

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: S, 3x²e* dx .2

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Q: Q2. Use Integration by parts to evaluate the following integrals Seax cosbx dx

A: Answer

Q: sech x3 tanh x3 iii. S- dx

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Q: If a and b are positive constants, evaluate the following integrals: e -ax -bx (a) -dx;

A: Given : The integral  ∫0∞ e-ax - e-bx x  dx  where a and b are positive constants.   To determine :…

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x2…

A: Let u=x^3 + 15 find du/dx and substitute in the integral.

Q: Calculate the following integrals. dx (a)

A: Note:  As per our guidelines, we are supposed to answer only one question. Kindly repost other…