2. Use a substitution to change the integral into one found in the table of integrals, then evaluate: cos(Vx) a) S

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

A:

Q: Evaluate the integral using the given substitution. Jx cos (6x?) dx, u=6x? x2 O A. sin (6x?) +C 2 1…

A: As per our guidelines we need to solve only one question.please repost the remaining questions as…

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: Taking substitution

Q: Evaluate the integrals below: cos3x a) dx, b) 2y Velina - 1) etsin3a)

A: We have to evaluate the following integrals, (a)∫cos3xesin3x2-1dx(b)∫012yy2dx

Q: |S(1 – cos 4u) du

A:

Q: Use the Table of Integrals to evaluate the integral. T4 - 9 sin e sin 20 de 4 – 9 sin 0 |

A: We use substitution to integrate the given function.

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: 4 dx, u= 1 + 2x (1 + 2x)

A: Explanation: Given that: ∫41+2x3dx,      u=1+2x Concept: 1. ∫xndx=1n+1xn+1+C Calculation: First…

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

A: To evaluate the given integral using the specified substitution.

Q: evaluate the integral in the form a sin(u(x)) + C for an appropriate choice of u(x) and constant a.

A:

Q: Evaluate the integrals using the indicated substitutions.

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

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: Use the integration by parts to evaluate the following integral by assuming u = COS 2 dx (cos a + a…

A:

Q: Write the integral as a sum of integrals without absolute values and evaluate: Leis | cos x | dx =…

A:

Q: Evaluate the integral by using the substitution u = 1 + e*. 1 – e* %3D dx 1+ e*

A:

Q: Evaluate the integral by making the given substitution. (U | cos12 0 sin 0 d0, u = cos 0

A: Given : ∫cos12θsinθdθ

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

A: To evaluate the integral by making the given substitution

Q: tan(x)dx, Ind: u = cos(z)

A: We have to calculate the given integral: ∫tan x dx We know the identity, tan x=sin xcos x Therefore,…

Q: Evaluate the integrals. ∫sin z sin (cos z) dz

A: Consider the given integral ∫sinzsincoszdz

Q: Evaluate the integral using the given substitution. Sx cos (10n2) dx, u = 10x² sin (10x²) - C sin…

A:

Q: Compute the following integrals. (a) tan (x) sec°(x) dr. (b) sin (x) tan(x) dx. 2.

A: We have to find the following integral

Q: Transform the integral fo So sin o ne do de by the substitution x = sin o cos 0, y = sin o sin 0 and…

A: The given integral is, ∫0π2∫0π2sinϕsinθ dϕdθ To substitute x=sinϕ cosθ  and  y=sinϕ sinθ The limits…

Q: Evaluate the integral in the form a sin(u(x)) + C for an appropriate choice of u(x) and constant a:…

A: given,         A=∫x2cosx3+1dx

Q: Use Romberg integration to compute R3.3 for the following integral x sin x dx

A:

Q: Evaluate the integrals: A: So So x sin y dy dx

A: ∫0π∫0xx siny dy dx

Q: Evaluate the following integrals and check by differentiation: 1. J cos 4 x dx. 2. J 5 sec2 2x dx.…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

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: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: Define the following improper integrals integral -1 to 0  f(x) dx

A:

Q: Evaluate the integral using the given substitution. Jx cos (5x?) dx, u=5x? O A. sin (5x2) +c 1 O B.…

A: Note:Since you have asked multiple question, as per our guidelines we are supposed to answer only…

Q: тх e COs nx dx

A: We have to evaluate the integral  ∫emx cos nx dx.

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: Let I is the value of given Integration.

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: evaluate the integral in the form a sin(u(x)) + C for an appropriate choice of u(x) and constant a.

A:

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

A: We need to evaluate the following integral  I = ∫cos6xdx…

Q: 2. Evaluate the integral by interpreting it in terms of areas: J | sin x dx. -T

A:

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A:

Q: f(cos*x- sin *xkx *a

A:

Q: Evaluate the integral. | Te" cos(2x) de = 7e* cos(2x) dx +C

A:

Q: a) Evaluate the integrals using appropriate substitutions. dx Sine i) S ii) S de Cos? 0+1 1+16x?

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: Evaluate the integrals below:. cos3x .dx, b) elsin3x) – 1). a) 0.

A:

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: The resulting integral of S dx is In + e Tan"1+ C where a, b, d, and e are integgrs. x+x²+4x+4 What…

A: Differentiate the result of the integral:…

Q: Evaluate the integral. (Use C for the constant of integration.) cos 30 de

A:

Q: Define the following improper integrals integral -1 to  1 f(x) dx

A: Given integral is,

Q: Find the integral of e*cos (x)dx

A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

Q: Evaluate the integral, if it exists.  ∫01v2 Cos (v3) dv

A:

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

A: Given integral: Now,

Q: [sin(In x) + cos(In x)] dx 2.

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