dx 2. S: 3 cos x+2 sinx-5

Q: 3 dt t2 - 4

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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: Use Romberg integration to compute R33 for the following integral x sin x dx

A: The solution is

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.

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Q: 2x dx ,(x2 +1)2 - 00

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Q: Get the integral of ſe*sin x dx using integration by parts c. e*(sinx – cos x) + c D. -e*(sinx – cos…

A: The integration of the integral is exsinx.

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

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

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. 2x V…

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Q: Evaluate the integral by substitution a) "x sin(x?) dx

A: Given : ∫0πxsinx2dx

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 using the indicated trigonometric substitution. 2 dx, x= 3 sec(0) x² Vx? – 9

A: →Substitute, x= 3secθ

Q: Evaluate the integral using the given substitution. 15) 1- sin cos dt, u = 1 - sin 13 1 - sin + C A)…

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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. S (sec r- sin r) dx

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Evaluate the integrals

A: We have to evaluate ∫0π1-cos2θ dθ We know that sin2θ+cos2θ=1 ⇒ 1-cos2θ=sin2θ Therefore,…

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

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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 cos(x?) dæ dy by reversing the order of integration.

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: J zV -1 2.

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

A: Given,           ∫sin4(x)cos(x)dx   and use substitution u=sin(x)

Q: Evaluate the integral using the given substitution. 5- sin cos dt, u= 5- sin- cos 1 O A. 5- sin 3 t…

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Q: Evaluate the integral using Integration by Parts. | 3y? sin 4y dy

A: Here we have to evaluate the given integral by using integration by parts.

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

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Q: 1. S dx x² Vx2+4

A: In this question we will use basic of calculus i.e concept of integration. We will simply integrate…

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

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

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Q: хах 2. S (V16-x2) 3

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

A: Using identity         Sin2x+cos2x=1

Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

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

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Q: Use a double integral to find the area of the shaded region. 51n T/2 10 r = 5 + 5 cos 0 -5 5 10

A: We need to find area of the shaded region.

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

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Q: TU 2. fz sin² x cos4 x dx J

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

A: Topic = Integration

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

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Q: Find the integral by Integration By Parts. 2. 0 cos r0 de 3. cos t dt 4. x² sin x dx

A: Integrating By Parts Rule.

Q: x+1)dx 1. S

A: Let x1/6=ududx=16x5/6du=dx6x5/6

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 using the given substitu Sxcos (5x?) dx, u=5x? dx, u= 5x sin (5x?) +c О в. sin…

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Q: The improper integral J 1 r2-4x-5 dx is given by:

A: In this question, we reduced the integral into trigonometric form by using suitable transformation.

Q: For the given integral dx sin2x/1+ cotx what is u? note: no space between symbols in your answer

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Q: Evaluate the integral. (Use C for the constant of integration.) sin(t) dt os°(t) coS

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

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

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Q: Is the integral formula correct? Sxsinx sin x dx = - xcos x+ sin x+C

A: