Evaluate the integral dx (2x + 11) by making the appropriate substitution: u =

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A: Given:

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A: This question is related to integration.

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A:

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A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -2x…

A:

Q: First make a substitution and then use integration byparts to evaluate the integral.   ∫t3 e-t2 dt

A: The given integral is Apply substitution method So, the integral is

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

Q: | dx X æ /æ2+100

A:

Q: Using appropriate substitution, the integral *+imx) dx is equal to: an

A: From the given problem:   I=∫141+lnx3xdx...1   Substitute in equation (1).   1+lnx=u...Differentiate…

Q: Use u-substitution to evaluate the integral. 3 + 5 Vx dx 3 2 + 5 Vx dx =O

A: Given query is to eveluate the integral.

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A:

Q: Evaluate the integral. (2 + 2y)? dy

A:

Q: Evaluate | VF In(r)dx by using integration by part.

A:

Q: evaluate the integral (Usec for the constant af mtegration) (Xt 6x) cos (x) dx

A: Use the integration by parts to simplify.

Q: Use the tabular method to find the integral. x²(x – 2)/2 dx

A: Use tabular method to find the integral  ∫x^2(x-2)12dx sign Derivative Antiderivative + x2…

Q: Express the integral Js(x) dx in terms of Jo, J1 and J2.

A: Bessels function identity:  Jn+1(x)=2nxJn(x)-Jn-1(x) Given: ∫J5(x)dx

Q: Evaluate the integral p.v. J e2ix -dx. 00 x+1

A: We can apply Cauchy integral theroem to find the integral.

Q: V3 2 dy 1- у?

A:

Q: Evaluate the integral f 2x (x² + 3)° dx using the substitution u = x2 + 3.

A:

Q: dx%3D 9+x²

A: Solution is given below:

Q: Evaluate the integral with the order reversed. dx dy -2 0

A:

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

A: integration

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

A:

Q: dx 6. J Vx2-4x+13

A:

Q: Evaluate the integral. r1/v2 2 dx J1/2

A: Use formula of integration

Q: -3v3 dx V9+x?

A: Evaluate the intregal

Q: Evaluate the integral r4-x2 8x cos y dy dx r2 y – 4 by reversing the order of integration.

A: Evaluating the g8iven integral directly is not easy. So if we change the order of integration from…

Q: Evaluate the integral. dx J2 (x² – 1)3/2 -Csc O

A:

Q: Evaluate the integral.

A: Definite integral: I=∫49(x+1x)2dx      (x+1x)2=x+2.x.1x+1x=x+2+1x

Q: Evaluate the integral dx (4x + 14) by making the appropriate substitution: u = dæ (4x + 14)* Submit…

A:

Q: Evaluate the integral. * T/2 sin³x cos y dx

A: Using identity         Sin2x+cos2x=1

Q: Evaluate the integral. /9-x2 dy dx dz = /9-x2 (x² + y²)!/2 3 J

A: Straightway, without any further delay, please convert to cylindrical coordinates: x = rcost; y =…

Q: the double integral dg dx Evaluate

A:

Q: find the inderinite integral it 2. dx 7-3x3

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Q: y=-3 x=- V25 – x – y dxdy=

A: To solve the following double integral

Q: Evaluate the integral. e sec²(8x) dx %3D +C

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A:

Q: Use the specifie substitution to find or evaluate the Integral. (Use C for the constant of…

A: To solve the integration uisng substitution method

Q: Approximate∫b,a f(x)dx by computing Lf(P), Uf(P), left sum and right sum of the following integral:…

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Q: Use the specified substitution to find or evaluate the integral.

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Q: Evaluate the integral. (Use C for the constant of integration.) 13 dx xV 9x2 - 1

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Q: Q2: Evaluate the integral fx In x dx using by parts formula

A: Note:- As per our guidelines, We can answer the first question since the exact one wasn’t specified.…

Q: Consider the integral sin-'(5x) dæ: Applying the integration by parts technique, let U = and dv dx…

A: Integration by parts is expressed as If I=∫f(x)⋅g(x)dxThen I=f(x)∫g(x)dx  - ∫ddxf(x)⋅∫g(x)dxdx Here,…

Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy

Q: dx, Evaluate the improper integral : [° 6x³e-3x°

A: