dx 11 · S 1+ cos² x

Q: Evaluate

A: ∫3cos22x dx factor out the constant term outside integral symbol. ∫3cos22xdx =3∫1cos22xdx=3∫sec22xdx…

Q: Find integral.

A: ∫-11xcos x dx

Q: fe²x+Inx² sin x² dx = +√e²x cos x² dx

A:

Q: tan(e-2x) In(cos(e-2*)) dx 5 S е 2х

A: We have to find out

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A: A detailed solution is given below.

Q: 6) | cos(/x). dx

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

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: ind f'(x). f(x) = ln(cos5(3x4))

A: topic:- derivatives

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A:

Q: Evaluate L. Cos 3 -1 X x² + 1 dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: 3.fe²x cos 3x dx

A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

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A:

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A:

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A:

Q: (d) ƒ sin(1 – x)(2 – cos(1 – x))ª dx

A:

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

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A:

Q: dx 2. S; 3 cos x+4 sin x

A:

Q: 2n 3. o (x + cos x) dx

A: Given :

Q: Q: Evaluate: 2х -1 cos dx (1+x²

A: Solved below

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A: To verify that ℒcos at=ss2-a2.

Q: xcosx dc + Cos x da 2.

A:

Q: T/3 sin x dx COsx -1

A: I have stated the used formulas in the solution.

Q: 2x cos x? dx 1+ sin² x² 8

A:

Q: I= ( cos(In(x)) dx 13- I =

A: GIven that: I=∫cos(ln(x))xdx

Q: Find ∫cos3 x dx.

A:

Q: (c) x³ cos(x²) dx. (Hint: start by using appropriate substitution. an

A: the given integral is: ∫π2πx3cos(x2) dx we have to find the value of the given integral.   let the…

Q: dx 27 (d) 2 + cos (x)

A: As per bartleby guidelines we are supported to answer only one question at a time . Kindly repost…

Q: Find ∫cos4 x dx.

A: To Determine: find the integral ∫cos4xdx Given: we have an integral  Explanation: we have an…

Q: dx 3. S. 5sin x+12 cos x

A:

Q: xdy - cyt x2 cos (x)) dx = o

A: The solution is given below in the next step:

Q: 2 S² T ㅠ 1-cos x dx 2

A:

Q: y = sin x cos6x x CO

A: Introduction :

Q: Evaluate J2 e* cosx dx 0.

A: To evaluate: The definite integral ∫0π2ex·cos x·dx. Concept used: Integration by parts:…

Q: 3) cos-1x. dx

A:

Q: 2 dx (a) t = tan x. %3D 5+4 cos 2x 0.

A:

Q: o. S÷dx 10. sin 3x 11. S- 1-cos 3x

A: As per your request we solved question no. 10 & 11 only

Q: x2 Q1 S (x sin x+cosx)2 dxp

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

Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: 1 dx J 3 sin x+4 cos x+3

A:

Q: dx = 3 cos° x/2sinx

A:

Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: 2. cos x dx - 67

A:

Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 11.| V1- сos 2x dx COS

A:

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A:

Q: (6secx cos x dx :

A: Put secx = 1/cos(x)

Q: dx 5+4 cos x

A:

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A: To evaluate :

Q: dx 3+2 cos x

A: The value of the given integral is 2√5/5 Arctan[√5/5 tan(1/2 x)] + c