sin(x) d Find (S sin (4 t) dt). cos(2)

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: sin (1/x) The value of the improper integral 1/m dx is 1. x2

A: Given : ∫1π∞sin1xx2dx

Q: COS x Find values of x in [0, 27] for which f(x) = has a horizontal tangent. 2+ sin x

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Q: Using trigonometric substitution to solve: f cos x dx 3 (4-sin²x)2 11

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Q: Evaluate the integrals

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Q: g(x) = 4ecoN " sin x, (0, ] COS

A: Given data:   The given function is: g(x)=4ecosxsinx The given interval is: [a,b]=[0,π].   The…

Q: bn= 는 Sin nT x dx ans=t- Excose LOS UTT sin

A: I have simplify and done step by step in detail...now hopefully you will get it.....go through the…

Q: B. Derivatives of Trigonometric Functions dy Using the formula find dx 5. у-сos (2x-1)

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Q: dy - x = x2 siny dx 3 -2 =-(-siny +cosy + Ce-y/?)*? ANSWER: x = + cosy + Ce

A: We will find out the required solution. Kindly note that there is misprints in question which has…

Q: cos(x ) + æ5.1 dx. )ln(1+x² 3 cos(x Evaluate 1+ el.61x – 68 - 3. answer

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Q: cos e cos 0-sin² 0 csce 5. csce-tan e II

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Q: sin 2n x Prove that: dx = 0 for all n e N. sin x

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Q: 5cos³(x) sin(3–2x) answer in terms of sin and cos only ind the derivative of y = + tan²(3x² – 4x) –…

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Q: cos x lim z-n/2 sin (2x)

A: If limx→afxgx is in 00 form or ∞∞ form; then applying L Hospitals' rule we get:…

Q: 1-Sin 2x Sin Ge)-Ces c -Sinc- Cosk 1- Sin 2x - Sinx+ Cosc Sinx-Casx -Sin x +CUIX - Sin le)(-Sine +…

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Q: cos(x) – sin(x) cos(2x) (c) lim (d) lim (cos())³/m²

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Q: f(x) = {cosx cos x find its Fourier I < x< 2n a. Cosine Series b. Sine Series

A: The given problem is to find the Fourier cosine series and Fourier sine series for the given…

Q: cos² (x) + cos² ( cos³ (x) .dx

A: Concept: Integration: Integration refers to the sum of discrete data. The integral is calculated to…

Q: | cos xV 1 + cos x dx, -ㅠ <xSㅠ.

A: Given:   By part formula of integration: Here,  and and

Q: sinh x + 10 et cosh x + da e2x 2 100 + sinh? (100

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Q: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

Q: sin x Check whether the function y = is a solution of xy' +y cos x with the initial condition y(r) =…

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Q: Integrating sin(x) dx by parts in correct way, we obtain an expression Of the form A-SB dx , then B=…

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Q: SOLVE THE EQUATIONS

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Q: sin(3r) sin(2r) x sin(5x) (e) lim

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Q: solving (2 x sinxy+x^2 ycos xy ) dx + X^3 cos x y dy = 0

A: given the expression is ; [xsin(xy)+x2ycos(xy) ] dx + x3cos(xy) dy =0

Q: CsccSC X e coscoS X S- dx CoS x-1

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Q: The displacement x of a moving object at time t is given by the equation .2 X= cos tsin°t 3 The…

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Q: (i) (x² + 1) tan-'x – x (ii) x³ loga x + e* cos x d (iii) e2 In cos 2x iv) 102 In cos 2x dx

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Q: • sin(2x)ln(sin²x+1) dx iv. (sin?x+1)

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Q: Solve (cos x cos y- cot x) dx-sin x sin y dy = 0 %3D

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Q: e*sin³ (=) e*sin³ 3 (t 3 x23 sech (x-2) xº sech (x-2) F (x) = S f(x), if x 2

A: Given that  gx=exsin3πxx2sechx-23if x≤20if x&gt;2 Find the left hand limit of the function at x=2.…

Q: domain of g(t)= sin(et-1)

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Q: sin-e)+sec-1(x) tan-1x+tan-1 d Find dx

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Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.

Q: x²+1° w(x) = arctan x²-1, f. g(x) = ln (x³ – ) - g. f(0) = sin(sin(sin(0)))

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Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: sin(x) – cos(x) lim x→-3a/4 DNE tan(x) – 1

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Q: - sin²( a Find the equation of the line tangent to f (x) = cos² x – - sin° at x =

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Q: ) Evaluate antan L tc 2 - arctan -x3 - 2 tc arctan 3- 2) Evaluate dx 5 arctan arctan x*-5 +C 45 -…

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Q: 1. Using Half Angle Substitution cos x dx Find= S 2-cos x

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Q: cos²(x) + 2cos²G) . cos³(x) - .dx

A: We have to find the integral.

Q: ∫ln a/x sin^-1x dx

A: Given,           I=∫ln(ax).sin-1(x) dx To solve this integration we apply integration by parts…

Q: 2x² sin (x²)dx = V(1-x*) Select one: a. - sin-(x²) cos(sin(x²)) + x² + C b. - cot-(x?) sec(sin-(x²))…

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Q: cos 2x-cos 4.x Express f(x) = using factor formulae. Hence, determine sin 2.x + sin 4x dy of y =…

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Q: 13. y = - cos (x)

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Q: . (sin a+ cos x) dy + cos x- sin x) de = 0. (Ans. y + log | sin x+ cos x|c)

A: Formulae used: ddxsinx=cosxddxcosx=-sinx∫1dx=x+c∫1xdx=log|x|+c