Evaluate the integral using substitution. 1) cos (8x²) dx, X COS

Q: Evaluate the integral. /2 15 cos Jo s x dx

A: Given:          ∫0π215cos5x dx        =15∫0π2cos5x dx         =15∫0π2cos2x2cosx dx…

Q: cos(8) cos (sin(0)) de

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. COS s*(7t)…

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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: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: Evaluate the integral 1-e-4x sin z cos 3rdr

A: According to the given information, it is required to evaluate the integral.

Q: Consider the integral shown below: π ∫ (ln(x))/((x^2)−2x+2)  dx. 1 Evaluate the integral using:…

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Q: Evaluate the integral [e2 cos(2x)dx.

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Q: 3. Rewrite the integral below using an appropriate order and then evaluate the resulting integral. x…

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Q: Evaluate the integral. 3 5ex + 7cos(x) dx

A: Given,          ∫035ex+7cosxdx

Q: π 7. fz sin¹x cos¹ x dx

A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx

Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: Evaluate the integral. S-3x cos(2x) dx

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Q: r cos (2x) COS

A: Given : The integral is ∫ cos4(2x)sin4(2x) dx .

Q: Evaluate the integral. ∫0 π/2 Cos2 θ   dθ

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Q: Evaluate the integral. a) 8. da x4 b) | (tan(5a)+ sec(5x)) dx | 8sin(2) cos(x) dæ

A: Given integral are a)   ∫x38-x4dxb)    ∫(tan(5x)+sec(5x))dxc)∫8sinxCosx dx we can evaluate these…

Q: 2n do 3 + sin 0 + cos 0

A: Given integral is ∫02πdθ3+sinθ+cosθ Given z=eiθ We know that  eiθ=cosθ+isinθ e-iθ=cosθ-isinθ So…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. cos“ (5t)…

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 cos(6) cos (sin(6)) de

A: The power rule of integration states that ∫vndx=vn+1n+1.

Q: TU 8. fz sin¹x cos5 x dx 2 0

A: To find the value of the given definite integral:∫0π2sin4x cos5x dxWalli's Formula:∫0π2 cosnx dx=…

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: Evaluate the integral. a 6 dx ਚ 2 + a> 0

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Q: TU 5.fo cos³ 30 de

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Q: TU f2 sin² p cos6 p dp

A: Solution is given below:

Q: Evaluate the integral. ∫e-θ  Cos 2θ dθ

A: Given ∫e-θ  Cos 2θ dθ

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: 3. 6x° cos (x*) dx

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Q: Which of the following is not an improper integral? 1 dx cos x 1 dx cos x 2 cos x dr cos x dx

A: Explanation of the answer is as follows

Q: 2. Calculate the integral , sin(x²)dx by the Gauss quadrature with n+1 = 2 and 3 quadrature points.…

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Q: Evaluate the integral. 3a/4 (a) csc 0 cot 0 de (b) (cos x + | cos x|) dx

A: Integration Question

Q: Evaluate the integral cos (x) sin(x) dx using the substitution u = = cos(x). | cos" (x) sin(x) dx 13…

A: topic - integration

Q: Evaluate the integral Se cos(2x)dx

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Q: Evaluate the integral COS nx dx

A: To solve the integral we use integral by parts formula. From integral by parts formula we get: ∫uv…

Q: Evaluate the integrals

A: Given information: ∫0π34sinucos2udu

Q: 1 -dx is an improper integral 1+ x2 Select one: 8 True False

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Q: Evaluate the iterated integral. (T/3 cos(0) 3r? sin(0) dr d0 Jo

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | cos (5t)…

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Q: Which of the following is not an improper integral? cos x dx cos x dx 1 dx cos x 1 dx cos x 8.

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Q: Evaluate the integral. |a cos (6 x) de = | + C

A: topic - indefinite integral

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

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Q: Evaluate the integral 10 cos(In(x)) dx, x > 0

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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: Evaluating the integral (cos x- 2sin x)dx gives: А. -2 В.О С. 1 D. -4

A: Option D is correct Explanation is given below

Q: 5. Which integral requires more work to evaluate? sin“ x cos“ x dx 798 sın x cos x dx or Explain…

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Q: Evaluate the integral using the given substitution. sin- dx Select one: A.-1 +1 sin2 + C x 2 3 B.-1…

A: Given information:-

Q: Consider the integral shown below: π ∫ (ln(x))/((x^2)−2x+2)  dx. 1 Evaluate the integral using:…

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Q: Evaluate the integral by making the given substitution.   ∫ Cos3θ Sinθ dθ   ,  u= Cosθ

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Q: esin(e")dx 8 cos (e*

A: Evaluate: ∫exsinexdx8cos2ex

Q: Evaluate the integral I = x + cos()dx using two point and three point Gaussian Quadrature and…

A: We have I=∫-11x2+cosx2dx First, we find the exact solution. Consider:…