Evaluate the integral cos (x) sin(x) dx 13 using the substitution u = cos(x). cos(x) sin(x) d.x ,13 +C

Q: Evaluate the integral. Зп /4 6 sin (x) cos (x) dx Jn/2

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Q: |(x² + 2x) cos(2x) dx

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Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: Find the integral. cos xsin x dx

A: Given, ∫cos3x sin2x dx   We have to find the integral value

Q: Evaluate the following integrals: 1.5 cos'x dx sin³x sec*x dx tan³x 2. 3. sin?x cos?x dx 4. cos (3x)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 2. Evaluate the improper integral. e COs x dx

A: I=∫0∞ e-x cosx dx Integration by parts;Formula:∫(uv)dx=u∫vdx -∫dudx ∫vdx dxu=cos x, dudx=-sin…

Q: Q2 (a) Calculate each of the following integrals. sin 3 0 cos'e 1 S sin x(cosx)4 dx

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Q: Find the indefinite integral ∫x cos 2 x2 dx

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Q: Find the integration of the following   x2 / x sin x + cos x

A: Our Aim is to integrate the following expression given below:-x2x sin x+cos x -(i)

Q: πT Evaluate the integral: S sin(3x)cos(3x) dx

A: We can solve this as follows:

Q: Obtain a formula that expresses the integral ∫cosn x dx

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Q: Evaluate the integral.  integral  cos 2 x tan 3 x  dx

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

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Q: CO X dx V1 + sin² x

A: Given: I=∫cosx1+sin2xdx Use the substitution method to solve the given integral. Let, t=sinx Now,…

Q: Q: 1. (a) Use an appropriate technique to evaluate the integral dx (2x + 1)v4x2 + 4x (b) Evaluate…

A: 1a): Given integral is: I=∫dx(2x+1)4x2+4x=12∫dx(2x+1)x2+xLet…

Q: The suitable substitution to evaluate the integral V tan (2x) dx is cos (2x) COS

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Q: Evaluate the definite integral.

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Q: Evaluate the integral.  integral  cos 2 x sin 2x  dx

A: Given integral to evaluate  ∫cos2xsin2xdx substitute sin2x=2sinxcosx ∫cos2xsin2xdx=∫cos2x2sinxcosxdx…

Q: use the method for odd powers to evaluate the integral.

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Q: Evaluate the integral.

A: Given,         ∫coslnxxdx

Q: 3. 6x° cos (x*) dx

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Q: Find the integral. e4X cos 3x dx + C

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Q: Evaluate the integral. cos 2x dx

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Q: Evaluate the double integral ff, cos(x²) dxdyc

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Q: Find and show the work for 2 (x+3)(3x+2) dx. (a) (b) SF (sin(2x) – cos x) dx.

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Q: Evaluate the given integral. ∫ (e2x cos x -2e2x sin x)dx.

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Q: Find the integral of ([sin(x)]^6){[cos(x)]^7)dx from x=0 to x = pi/2. 14/1001 15/2002 16/3003…

A: …

Q: Evaluate the following integrals: a) sin^4 (2x) cos^7 (2x) dx b) t sin^4 (t^2) dt c) tan^3 (x) dx d)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Evaluate the integral + 2x) cos x dx

A: The given integral is ∫x2+2x cosx dx

Q: Evaluate the integral. integral  cos 3x e x dx

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Q: 1. Evaluate the integral: (a) cos(x) dx dy 4y

A: the given integral is: we have to evaluate the given integral.

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 e'sin e) dx 1- In 2 2 u +3 u + C + C +C cos(e") + C COS -2*+2x + C 21 21

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Q: Evaluate the integral: square root of x cos(1+ x to the 3/2 power) dx

A: Evaluate the integral

Q: Evaluate the integral. T/2 9 sin2(x) cos2(x) dx

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Q: (x2 + 8x) cos(x) dx

A: We have to find the integral As per guideline we have to solve one question Please repost other…

Q: Find the indefinite integral.∫(cos5 t/√sin t)  dt

A: Given information: The indefinite integral is ∫cos5tsintdt Trigonometric identities used:…

Q: Evaluate the multiple integral cos(x - y) dx dy

A: Here we have, I=∫11+π2∫1ycosx-ydxdy

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. | Te" cos(2x) de = 7e* cos(2x) dx +C

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Q: Solve the following integral by using the Tabular Method. (a) x² cos 4x dx (b) sin 3x cos 4x dx 2.

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Q: ...... ... ... ...- Evaluate the iterated integral. 5. y cos(x) dy dx

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Q: evaluate the Cauchy principal value of the given improper integral. cos 2r dx x² + 1

A: We have to find the Cauchy principal value of the improper integral. First we have to write the…

Q: (cos x Kpxp () I S

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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: 1 ( cosx + 2 x| ) dx 7) Evaluate the following integral : | COS

A: Consider the provided integral, ∫0π 12cosx+cosxdx Evaluate the following integral. Apply  the…

Q: 27n 4 cos x sin x dx 7/3

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Q: s the indefinite integral | x2 cos(x3) dx becomes 1 cos(u) du- must also convert the integral…

A: Given query is to find the integral limits.

Q: Evaluate the integral.  integral cos  - 4  x  dx

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Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-∫cos (x)2+sin (x)dx-(i)